My problem is I have a formula for the metric tensor in Rosen coordinates and I would like the metric tensor in Minkowski spacetime. To go from one to the other I need the coordinate mapping, thus, how do I transform the coordinates from Rosen coordinates to Minkowski Coordinates?
That doesn't directly answer my question. Also, I am not familiar with Brinkmann coordinates. If we suppose the line element in Rosen coordinates in flat space-time is:
ds2=2 du dv+dy12+dy22
Then we can deduce the possible coordinate mapping to Cartesian coordinates of
t = (u-v)/√2
x =...
I see a number of gravitational wave analytic solutions with the metric given in terms of Rosen coordinates. I have no idea what these coordinates are. How do I perform a coordinate transformation from Rosen coordinates to traditional (t,x,y,z) Euclidean\Cartesian coordinates? Also, is there a...