hi every body
Consider we have a null hypersurface. how we can calculate volume element on it?
You can define a volume element on a null surface in terms of an affine parameter along the null generators. But it won't be unique.
how can i do it?
is it possible to introduce a book or an article for more detail?
I studied Advanced General Relativity By Eric Poisson. In this book, there is a few material.
Section 3.2 from "A Relativist`s Toolkit" by Poisson might be useful; draft version at
Yes, very good! See Eq (3.2.7)
exactly i Studied this section of Poisson's book
, but here he defined a directed volume element
I don't know how to calculate volume element exactly.
Then this should have been stated immediately. It shouldn't take us 6 posts to discover what it is you are actually looking for, and the fact that you already had an answer in hand and were dissatisfied with it.
My question is clear. I want to find a way to calculate volume element of null hypersurface. Isn't it?
In Poisson's book,there is a way to find out directed volume element.
In this book, there is a little description about volume element of null hypersurface.
OM, It was better to tell what I studied Poisson before and have a question. you're right.
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