- #1
relativityfan
- 75
- 0
hi,
is it true that for any valid spacetime in general relativity that:
if time dilated/contracted by k, space is contracted/dilated by k?
what is the mathematical explanation for this?
therefore, if one knows the time dilation for a point in spacetime, then one knows automatically the length contraction?
for the Kerr metric, the problem is that at the event horizon of a black hole space is infinitely contracted but time does not seem infinitely dilated...
is it true that for any valid spacetime in general relativity that:
if time dilated/contracted by k, space is contracted/dilated by k?
what is the mathematical explanation for this?
therefore, if one knows the time dilation for a point in spacetime, then one knows automatically the length contraction?
for the Kerr metric, the problem is that at the event horizon of a black hole space is infinitely contracted but time does not seem infinitely dilated...