# Metric for planer symmetry
Ndim_ := 4:
x1_ := t:
x2_ := x:
x3_ := theta:
x4_ := phi:
complex_ := {}:
g11_ := -alpha(t,x)^2+a1(t,x)^2*beta(t,x)^2:
g12_ := a1(t,x)^2*beta(t,x):
g22_ := a1(t,x)^2:
g33_ := b1(t,x)^2*x^2:
g44_ := b1(t,x)^2*x^2*(sin(theta))^2:
