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metricFluctuations
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metricFluctuations
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{1, {{P[u]*Subscript[h, tt][t, r], (P[u]*Subscript[h, tr][t, r])/2,
Subscript[h, tx][t, r]*Derivative[1][P][u], PV[u]*Subscript[h, tz][t, r]},
{(P[u]*Subscript[h, tr][t, r])/2, P[u]*Subscript[h, rr][t, r],
Subscript[h, rx][t, r]*Derivative[1][P][u], PV[u]*Subscript[h, rz][t, r]},
{Subscript[h, tx][t, r]*Derivative[1][P][u], Subscript[h, rx][t, r]*
Derivative[1][P][u], (P[u]*SubPlus[h][t, r])/(2*(1 - K*u^2)) +
(SubMinus[h][t, r]*(k^2*P[u] - 2*K*u*Derivative[1][P][u]))/
(-2 + 2*K*u^2), Subscript[h, xz][t, r]*((-2*K*u*PV[u])/(-1 + K*u^2) +
Derivative[1][PV][u])}, {PV[u]*Subscript[h, tz][t, r],
PV[u]*Subscript[h, rz][t, r], Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u]),
((1 - K*u^2)*P[u]*SubPlus[h][t, r])/2 +
((-1 + K*u^2)*SubMinus[h][t, r]*(-(k^2*P[u]) +
2*K*u*Derivative[1][P][u]))/2}},
{{P[u]*Subscript[h, tt][t, r], (P[u]*Subscript[h, tr][t, r])/2,
Subscript[h, tx][t, r]*Derivative[1][P][u], 0,
PV[u]*Subscript[h, tz][t, r]}, {(P[u]*Subscript[h, tr][t, r])/2,
P[u]*Subscript[h, rr][t, r], Subscript[h, rx][t, r]*Derivative[1][P][u],
0, PV[u]*Subscript[h, rz][t, r]},
{Subscript[h, tx][t, r]*Derivative[1][P][u], Subscript[h, rx][t, r]*
Derivative[1][P][u], (P[u]*SubPlus[h][t, r])/(3*(1 - K*u^2)) +
(2*SubMinus[h][t, r]*(k^2*P[u] - 3*K*u*Derivative[1][P][u]))/
(-3 + 3*K*u^2), 0, Subscript[h, xz][t, r]*((-2*K*u*PV[u])/(-1 + K*u^2) +
Derivative[1][PV][u])},
{0, 0, 0, ((1 - K*u^2)*P[u]*SubPlus[h][t, r])/
(3*(1 - K*Subscript[\[Theta], 2]^2)) +
((-1 + K*u^2)*SubMinus[h][t, r]*(-(k^2*P[u]) +
3*K*u*Derivative[1][P][u]))/(3 - 3*K*Subscript[\[Theta], 2]^2),
(2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r] +
PT[u]*Subscript[h, yz][t, r])/(1 - K*Subscript[\[Theta], 2]^2)},
{PV[u]*Subscript[h, tz][t, r], PV[u]*Subscript[h, rz][t, r],
Subscript[h, xz][t, r]*((-2*K*u*PV[u])/(-1 + K*u^2) +
Derivative[1][PV][u]),
(2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r] +
PT[u]*Subscript[h, yz][t, r])/(1 - K*Subscript[\[Theta], 2]^2),
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*SubPlus[h][t, r])/3 +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*SubMinus[h][t, r]*
(k^2*P[u] - 3*K*u*Derivative[1][P][u]))/3}},
{{P[u]*Subscript[h, tt][t, r], (P[u]*Subscript[h, tr][t, r])/2,
Subscript[h, tx][t, r]*Derivative[1][P][u], 0, 0,
PV[u]*Subscript[h, tz][t, r]}, {(P[u]*Subscript[h, tr][t, r])/2,
P[u]*Subscript[h, rr][t, r], Subscript[h, rx][t, r]*Derivative[1][P][u],
0, 0, PV[u]*Subscript[h, rz][t, r]},
{Subscript[h, tx][t, r]*Derivative[1][P][u], Subscript[h, rx][t, r]*
Derivative[1][P][u], (P[u]*SubPlus[h][t, r])/(4*(1 - K*u^2)) +
(3*SubMinus[h][t, r]*(k^2*P[u] - 4*K*u*Derivative[1][P][u]))/
(-4 + 4*K*u^2), 0, 0, Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u])},
{0, 0, 0, ((1 - K*u^2)*P[u]*SubPlus[h][t, r])/
(4*(1 - K*Subscript[\[Theta], 2]^2)) +
((-1 + K*u^2)*SubMinus[h][t, r]*(-(k^2*P[u]) +
4*K*u*Derivative[1][P][u]))/(4 - 4*K*Subscript[\[Theta], 2]^2), 0,
(-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) +
(PT[u]*(1 - K*Subscript[\[Theta], 3]^2)*Subscript[h, yz][t, r])/
(1 - K*Subscript[\[Theta], 2]^2)^(3/2)},
{0, 0, 0, 0, ((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
SubPlus[h][t, r])/(4*(1 - K*Subscript[\[Theta], 3]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 4*K*u*Derivative[1][P][u]))/
(-4 + 4*K*Subscript[\[Theta], 3]^2),
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2)}, {PV[u]*Subscript[h, tz][t, r],
PV[u]*Subscript[h, rz][t, r], Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u]),
(-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) +
(PT[u]*(1 - K*Subscript[\[Theta], 3]^2)*Subscript[h, yz][t, r])/
(1 - K*Subscript[\[Theta], 2]^2)^(3/2),
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2),
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*SubPlus[h][t, r])/4 +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 4*K*u*Derivative[1][P][u]))/4}},
{{P[u]*Subscript[h, tt][t, r], (P[u]*Subscript[h, tr][t, r])/2,
Subscript[h, tx][t, r]*Derivative[1][P][u], 0, 0, 0,
PV[u]*Subscript[h, tz][t, r]}, {(P[u]*Subscript[h, tr][t, r])/2,
P[u]*Subscript[h, rr][t, r], Subscript[h, rx][t, r]*Derivative[1][P][u],
0, 0, 0, PV[u]*Subscript[h, rz][t, r]},
{Subscript[h, tx][t, r]*Derivative[1][P][u], Subscript[h, rx][t, r]*
Derivative[1][P][u], (P[u]*SubPlus[h][t, r])/(5*(1 - K*u^2)) +
(4*SubMinus[h][t, r]*(k^2*P[u] - 5*K*u*Derivative[1][P][u]))/
(-5 + 5*K*u^2), 0, 0, 0, Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u])},
{0, 0, 0, ((1 - K*u^2)*P[u]*SubPlus[h][t, r])/
(5*(1 - K*Subscript[\[Theta], 2]^2)) +
((-1 + K*u^2)*SubMinus[h][t, r]*(-(k^2*P[u]) +
5*K*u*Derivative[1][P][u]))/(5 - 5*K*Subscript[\[Theta], 2]^2), 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 2]*(-1 + K*Subscript[\[Theta], 2]^2)*
Subscript[h, xz][t, r] + PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*Subscript[h, yz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2)^2},
{0, 0, 0, 0, ((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
SubPlus[h][t, r])/(5*(1 - K*Subscript[\[Theta], 3]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 5*K*u*Derivative[1][P][u]))/
(-5 + 5*K*Subscript[\[Theta], 3]^2), 0,
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2)}, {0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*SubPlus[h][t, r])/
(5*(1 - K*Subscript[\[Theta], 4]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 5*K*u*Derivative[1][P][u]))/
(5 - 5*K*Subscript[\[Theta], 4]^2),
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2)}, {PV[u]*Subscript[h, tz][t, r],
PV[u]*Subscript[h, rz][t, r], Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u]),
(-2*K*PV[u]*Subscript[\[Theta], 2]*(-1 + K*Subscript[\[Theta], 2]^2)*
Subscript[h, xz][t, r] + PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*Subscript[h, yz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2)^2,
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2),
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2),
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
SubPlus[h][t, r])/5 - ((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
SubMinus[h][t, r]*(-(k^2*P[u]) + 5*K*u*Derivative[1][P][u]))/5}},
{{P[u]*Subscript[h, tt][t, r], (P[u]*Subscript[h, tr][t, r])/2,
Subscript[h, tx][t, r]*Derivative[1][P][u], 0, 0, 0, 0,
PV[u]*Subscript[h, tz][t, r]}, {(P[u]*Subscript[h, tr][t, r])/2,
P[u]*Subscript[h, rr][t, r], Subscript[h, rx][t, r]*Derivative[1][P][u],
0, 0, 0, 0, PV[u]*Subscript[h, rz][t, r]},
{Subscript[h, tx][t, r]*Derivative[1][P][u], Subscript[h, rx][t, r]*
Derivative[1][P][u], (P[u]*SubPlus[h][t, r])/(6*(1 - K*u^2)) +
(5*SubMinus[h][t, r]*(k^2*P[u] - 6*K*u*Derivative[1][P][u]))/
(-6 + 6*K*u^2), 0, 0, 0, 0, Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u])},
{0, 0, 0, ((1 - K*u^2)*P[u]*SubPlus[h][t, r])/
(6*(1 - K*Subscript[\[Theta], 2]^2)) +
((-1 + K*u^2)*SubMinus[h][t, r]*(-(k^2*P[u]) +
6*K*u*Derivative[1][P][u]))/(6 - 6*K*Subscript[\[Theta], 2]^2), 0, 0,
0, (-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) -
(PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*(-1 + K*Subscript[\[Theta], 5]^2)*
Subscript[h, yz][t, r])/(1 - K*Subscript[\[Theta], 2]^2)^(5/2)},
{0, 0, 0, 0, ((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
SubPlus[h][t, r])/(6*(1 - K*Subscript[\[Theta], 3]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 6*K*u*Derivative[1][P][u]))/
(-6 + 6*K*Subscript[\[Theta], 3]^2), 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2)}, {0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*SubPlus[h][t, r])/
(6*(1 - K*Subscript[\[Theta], 4]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 6*K*u*Derivative[1][P][u]))/
(6 - 6*K*Subscript[\[Theta], 4]^2), 0,
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2)}, {0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
SubPlus[h][t, r])/(6*(1 - K*Subscript[\[Theta], 5]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
SubMinus[h][t, r]*(-(k^2*P[u]) + 6*K*u*Derivative[1][P][u]))/
(-6 + 6*K*Subscript[\[Theta], 5]^2),
(-2*K*PV[u]*Subscript[\[Theta], 5]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 5]^2)}, {PV[u]*Subscript[h, tz][t, r],
PV[u]*Subscript[h, rz][t, r], Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u]),
(-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) -
(PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*(-1 + K*Subscript[\[Theta], 5]^2)*
Subscript[h, yz][t, r])/(1 - K*Subscript[\[Theta], 2]^2)^(5/2),
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2),
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2),
(-2*K*PV[u]*Subscript[\[Theta], 5]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 5]^2),
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*SubPlus[h][t, r])/6 +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 6*K*u*Derivative[1][P][u]))/6}},
{{P[u]*Subscript[h, tt][t, r], (P[u]*Subscript[h, tr][t, r])/2,
Subscript[h, tx][t, r]*Derivative[1][P][u], 0, 0, 0, 0, 0,
PV[u]*Subscript[h, tz][t, r]}, {(P[u]*Subscript[h, tr][t, r])/2,
P[u]*Subscript[h, rr][t, r], Subscript[h, rx][t, r]*Derivative[1][P][u],
0, 0, 0, 0, 0, PV[u]*Subscript[h, rz][t, r]},
{Subscript[h, tx][t, r]*Derivative[1][P][u], Subscript[h, rx][t, r]*
Derivative[1][P][u], (P[u]*SubPlus[h][t, r])/(7*(1 - K*u^2)) +
(6*SubMinus[h][t, r]*(k^2*P[u] - 7*K*u*Derivative[1][P][u]))/
(-7 + 7*K*u^2), 0, 0, 0, 0, 0, Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u])},
{0, 0, 0, ((1 - K*u^2)*P[u]*SubPlus[h][t, r])/
(7*(1 - K*Subscript[\[Theta], 2]^2)) +
((-1 + K*u^2)*SubMinus[h][t, r]*(-(k^2*P[u]) +
7*K*u*Derivative[1][P][u]))/(7 - 7*K*Subscript[\[Theta], 2]^2), 0, 0,
0, 0, (-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) -
(PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*(-1 + K*Subscript[\[Theta], 5]^2)*
(-1 + K*Subscript[\[Theta], 6]^2)*Subscript[h, yz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2)^3},
{0, 0, 0, 0, ((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
SubPlus[h][t, r])/(7*(1 - K*Subscript[\[Theta], 3]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 7*K*u*Derivative[1][P][u]))/
(-7 + 7*K*Subscript[\[Theta], 3]^2), 0, 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2)}, {0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*SubPlus[h][t, r])/
(7*(1 - K*Subscript[\[Theta], 4]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 7*K*u*Derivative[1][P][u]))/
(7 - 7*K*Subscript[\[Theta], 4]^2), 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2)}, {0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
SubPlus[h][t, r])/(7*(1 - K*Subscript[\[Theta], 5]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
SubMinus[h][t, r]*(-(k^2*P[u]) + 7*K*u*Derivative[1][P][u]))/
(-7 + 7*K*Subscript[\[Theta], 5]^2), 0,
(-2*K*PV[u]*Subscript[\[Theta], 5]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 5]^2)}, {0, 0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*SubPlus[h][t, r])/
(7*(1 - K*Subscript[\[Theta], 6]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 7*K*u*Derivative[1][P][u]))/
(7 - 7*K*Subscript[\[Theta], 6]^2),
(-2*K*PV[u]*Subscript[\[Theta], 6]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 6]^2)}, {PV[u]*Subscript[h, tz][t, r],
PV[u]*Subscript[h, rz][t, r], Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u]),
(-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) -
(PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*(-1 + K*Subscript[\[Theta], 5]^2)*
(-1 + K*Subscript[\[Theta], 6]^2)*Subscript[h, yz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2)^3,
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2),
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2),
(-2*K*PV[u]*Subscript[\[Theta], 5]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 5]^2),
(-2*K*PV[u]*Subscript[\[Theta], 6]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 6]^2),
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*(1 - K*Subscript[\[Theta], 6]^2)*
SubPlus[h][t, r])/7 - ((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*(-1 + K*Subscript[\[Theta], 6]^2)*
SubMinus[h][t, r]*(-(k^2*P[u]) + 7*K*u*Derivative[1][P][u]))/7}},
{{P[u]*Subscript[h, tt][t, r], (P[u]*Subscript[h, tr][t, r])/2,
Subscript[h, tx][t, r]*Derivative[1][P][u], 0, 0, 0, 0, 0, 0,
PV[u]*Subscript[h, tz][t, r]}, {(P[u]*Subscript[h, tr][t, r])/2,
P[u]*Subscript[h, rr][t, r], Subscript[h, rx][t, r]*Derivative[1][P][u],
0, 0, 0, 0, 0, 0, PV[u]*Subscript[h, rz][t, r]},
{Subscript[h, tx][t, r]*Derivative[1][P][u], Subscript[h, rx][t, r]*
Derivative[1][P][u], (P[u]*SubPlus[h][t, r])/(8*(1 - K*u^2)) +
(7*SubMinus[h][t, r]*(k^2*P[u] - 8*K*u*Derivative[1][P][u]))/
(-8 + 8*K*u^2), 0, 0, 0, 0, 0, 0, Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u])},
{0, 0, 0, ((1 - K*u^2)*P[u]*SubPlus[h][t, r])/
(8*(1 - K*Subscript[\[Theta], 2]^2)) +
((-1 + K*u^2)*SubMinus[h][t, r]*(-(k^2*P[u]) +
8*K*u*Derivative[1][P][u]))/(8 - 8*K*Subscript[\[Theta], 2]^2), 0, 0,
0, 0, 0, (-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) -
(PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*(-1 + K*Subscript[\[Theta], 5]^2)*
(-1 + K*Subscript[\[Theta], 6]^2)*(-1 + K*Subscript[\[Theta], 7]^2)*
Subscript[h, yz][t, r])/(1 - K*Subscript[\[Theta], 2]^2)^(7/2)},
{0, 0, 0, 0, ((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
SubPlus[h][t, r])/(8*(1 - K*Subscript[\[Theta], 3]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 8*K*u*Derivative[1][P][u]))/
(-8 + 8*K*Subscript[\[Theta], 3]^2), 0, 0, 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2)}, {0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*SubPlus[h][t, r])/
(8*(1 - K*Subscript[\[Theta], 4]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 8*K*u*Derivative[1][P][u]))/
(8 - 8*K*Subscript[\[Theta], 4]^2), 0, 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2)}, {0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
SubPlus[h][t, r])/(8*(1 - K*Subscript[\[Theta], 5]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
SubMinus[h][t, r]*(-(k^2*P[u]) + 8*K*u*Derivative[1][P][u]))/
(-8 + 8*K*Subscript[\[Theta], 5]^2), 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 5]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 5]^2)}, {0, 0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*SubPlus[h][t, r])/
(8*(1 - K*Subscript[\[Theta], 6]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 8*K*u*Derivative[1][P][u]))/
(8 - 8*K*Subscript[\[Theta], 6]^2), 0,
(-2*K*PV[u]*Subscript[\[Theta], 6]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 6]^2)}, {0, 0, 0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*(1 - K*Subscript[\[Theta], 6]^2)*
SubPlus[h][t, r])/(8*(1 - K*Subscript[\[Theta], 7]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*(-1 + K*Subscript[\[Theta], 6]^2)*
SubMinus[h][t, r]*(-(k^2*P[u]) + 8*K*u*Derivative[1][P][u]))/
(-8 + 8*K*Subscript[\[Theta], 7]^2),
(-2*K*PV[u]*Subscript[\[Theta], 7]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 7]^2)}, {PV[u]*Subscript[h, tz][t, r],
PV[u]*Subscript[h, rz][t, r], Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u]),
(-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) -
(PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*(-1 + K*Subscript[\[Theta], 5]^2)*
(-1 + K*Subscript[\[Theta], 6]^2)*(-1 + K*Subscript[\[Theta], 7]^2)*
Subscript[h, yz][t, r])/(1 - K*Subscript[\[Theta], 2]^2)^(7/2),
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2),
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2),
(-2*K*PV[u]*Subscript[\[Theta], 5]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 5]^2),
(-2*K*PV[u]*Subscript[\[Theta], 6]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 6]^2),
(-2*K*PV[u]*Subscript[\[Theta], 7]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 7]^2),
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*(1 - K*Subscript[\[Theta], 6]^2)*
(1 - K*Subscript[\[Theta], 7]^2)*SubPlus[h][t, r])/8 +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*(-1 + K*Subscript[\[Theta], 6]^2)*
(-1 + K*Subscript[\[Theta], 7]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 8*K*u*Derivative[1][P][u]))/8}},
{{P[u]*Subscript[h, tt][t, r], (P[u]*Subscript[h, tr][t, r])/2,
Subscript[h, tx][t, r]*Derivative[1][P][u], 0, 0, 0, 0, 0, 0, 0,
PV[u]*Subscript[h, tz][t, r]}, {(P[u]*Subscript[h, tr][t, r])/2,
P[u]*Subscript[h, rr][t, r], Subscript[h, rx][t, r]*Derivative[1][P][u],
0, 0, 0, 0, 0, 0, 0, PV[u]*Subscript[h, rz][t, r]},
{Subscript[h, tx][t, r]*Derivative[1][P][u], Subscript[h, rx][t, r]*
Derivative[1][P][u], (P[u]*SubPlus[h][t, r])/(9*(1 - K*u^2)) +
(8*SubMinus[h][t, r]*(k^2*P[u] - 9*K*u*Derivative[1][P][u]))/
(-9 + 9*K*u^2), 0, 0, 0, 0, 0, 0, 0, Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u])},
{0, 0, 0, ((1 - K*u^2)*P[u]*SubPlus[h][t, r])/
(9*(1 - K*Subscript[\[Theta], 2]^2)) +
((-1 + K*u^2)*SubMinus[h][t, r]*(-(k^2*P[u]) +
9*K*u*Derivative[1][P][u]))/(9 - 9*K*Subscript[\[Theta], 2]^2), 0, 0,
0, 0, 0, 0, (-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) +
(PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*(-1 + K*Subscript[\[Theta], 5]^2)*
(-1 + K*Subscript[\[Theta], 6]^2)*(-1 + K*Subscript[\[Theta], 7]^2)*
(-1 + K*Subscript[\[Theta], 8]^2)*Subscript[h, yz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2)^4},
{0, 0, 0, 0, ((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
SubPlus[h][t, r])/(9*(1 - K*Subscript[\[Theta], 3]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 9*K*u*Derivative[1][P][u]))/
(-9 + 9*K*Subscript[\[Theta], 3]^2), 0, 0, 0, 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2)}, {0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*SubPlus[h][t, r])/
(9*(1 - K*Subscript[\[Theta], 4]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 9*K*u*Derivative[1][P][u]))/
(9 - 9*K*Subscript[\[Theta], 4]^2), 0, 0, 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2)}, {0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
SubPlus[h][t, r])/(9*(1 - K*Subscript[\[Theta], 5]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
SubMinus[h][t, r]*(-(k^2*P[u]) + 9*K*u*Derivative[1][P][u]))/
(-9 + 9*K*Subscript[\[Theta], 5]^2), 0, 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 5]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 5]^2)}, {0, 0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*SubPlus[h][t, r])/
(9*(1 - K*Subscript[\[Theta], 6]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 9*K*u*Derivative[1][P][u]))/
(9 - 9*K*Subscript[\[Theta], 6]^2), 0, 0,
(-2*K*PV[u]*Subscript[\[Theta], 6]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 6]^2)}, {0, 0, 0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*(1 - K*Subscript[\[Theta], 6]^2)*
SubPlus[h][t, r])/(9*(1 - K*Subscript[\[Theta], 7]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*(-1 + K*Subscript[\[Theta], 6]^2)*
SubMinus[h][t, r]*(-(k^2*P[u]) + 9*K*u*Derivative[1][P][u]))/
(-9 + 9*K*Subscript[\[Theta], 7]^2), 0,
(-2*K*PV[u]*Subscript[\[Theta], 7]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 7]^2)}, {0, 0, 0, 0, 0, 0, 0, 0, 0,
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*(1 - K*Subscript[\[Theta], 6]^2)*
(1 - K*Subscript[\[Theta], 7]^2)*SubPlus[h][t, r])/
(9*(1 - K*Subscript[\[Theta], 8]^2)) +
((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*(-1 + K*Subscript[\[Theta], 6]^2)*
(-1 + K*Subscript[\[Theta], 7]^2)*SubMinus[h][t, r]*
(-(k^2*P[u]) + 9*K*u*Derivative[1][P][u]))/
(9 - 9*K*Subscript[\[Theta], 8]^2),
(-2*K*PV[u]*Subscript[\[Theta], 8]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 8]^2)}, {PV[u]*Subscript[h, tz][t, r],
PV[u]*Subscript[h, rz][t, r], Subscript[h, xz][t, r]*
((-2*K*u*PV[u])/(-1 + K*u^2) + Derivative[1][PV][u]),
(-2*K*PV[u]*Subscript[\[Theta], 2]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2) +
(PT[u]*(-1 + K*Subscript[\[Theta], 3]^2)*
(-1 + K*Subscript[\[Theta], 4]^2)*(-1 + K*Subscript[\[Theta], 5]^2)*
(-1 + K*Subscript[\[Theta], 6]^2)*(-1 + K*Subscript[\[Theta], 7]^2)*
(-1 + K*Subscript[\[Theta], 8]^2)*Subscript[h, yz][t, r])/
(-1 + K*Subscript[\[Theta], 2]^2)^4,
(-2*K*PV[u]*Subscript[\[Theta], 3]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 3]^2),
(-2*K*PV[u]*Subscript[\[Theta], 4]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 4]^2),
(-2*K*PV[u]*Subscript[\[Theta], 5]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 5]^2),
(-2*K*PV[u]*Subscript[\[Theta], 6]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 6]^2),
(-2*K*PV[u]*Subscript[\[Theta], 7]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 7]^2),
(-2*K*PV[u]*Subscript[\[Theta], 8]*Subscript[h, xz][t, r])/
(-1 + K*Subscript[\[Theta], 8]^2),
((1 - K*u^2)*P[u]*(1 - K*Subscript[\[Theta], 2]^2)*
(1 - K*Subscript[\[Theta], 3]^2)*(1 - K*Subscript[\[Theta], 4]^2)*
(1 - K*Subscript[\[Theta], 5]^2)*(1 - K*Subscript[\[Theta], 6]^2)*
(1 - K*Subscript[\[Theta], 7]^2)*(1 - K*Subscript[\[Theta], 8]^2)*
SubPlus[h][t, r])/9 - ((-1 + K*u^2)*(-1 + K*Subscript[\[Theta], 2]^2)*
(-1 + K*Subscript[\[Theta], 3]^2)*(-1 + K*Subscript[\[Theta], 4]^2)*
(-1 + K*Subscript[\[Theta], 5]^2)*(-1 + K*Subscript[\[Theta], 6]^2)*
(-1 + K*Subscript[\[Theta], 7]^2)*(-1 + K*Subscript[\[Theta], 8]^2)*
SubMinus[h][t, r]*(-(k^2*P[u]) + 9*K*u*Derivative[1][P][u]))/9}}}