hi,(adsbygoogle = window.adsbygoogle || []).push({});

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...

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Conservation of the volume form

**Physics Forums | Science Articles, Homework Help, Discussion**