(Solved): The Friedmann-Robertson-Walker (FRW) space-time metric in Cartesian coordinates is given by ds = ...

The Friedmann-Robertson-Walker (FRW) space-time metric in Cartesian coordinates is given by ds² = c²dt² — a(t)² (dx² + dy² + dz²), where the function a(t) is known as the scale factor. Calculate all non-zero components of the space-time connection of FRW in these coordinates.