Null Hyperplanes & Cauchy Surfaces in Spacetimes

[paweld]

Is a null hyperplane a Cauchy surface in Minkowski spacetime?
What in case of other spacetimes?

 

[George Jones]

Is a null hyperplane a Cauchy surface in Minkowski spacetime?

This is something that you should try to work through. What is a Cauchy surface? A readable definition is given on pages 79-80 of Sean Carroll's book An Introduction to General Relativity: Spacetime Geometry. This is just one example of where Carroll's book is better than Carroll'a arXiv notes.

What in case of other spacetimes?

I am not sure what you're asking.