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GR Coordinate Transformation

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I need help with the following assignment.

In a spacetime with only 1 space dimension x, the non-zero components of the metric (in the region t!=0, x>0) are
g00 = 4*c^2*t^2 / A^4
g11 = -9*x / (4*B^3)

Find a coordinate transformation (t,x)-> (t',x') that makes the metric locally locally Minkowskian, i.e., ds^2=c^2*dt'^2-dx'^2.

Anyone able to help me?

2

Now I remember why I decided not to take Physics. Physics is really maths.


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