The embedding of the spacetime in five-dimensional spaces with arbitrary non-degenerate Ricci tensor

Details The embedding of the spacetime in five-dimensional spaces with arbitrary non-degenerate Ricci tensor The embedding of the spacetime in five-dimensional spaces with arbitrary non-degenerate Ricci tensor

2001-11-19

arxiv.org/abs/gr-qc/0111058v1

J.Math.Phys. 43 (2002) 3097-3106

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

We discuss and prove a theorem which asserts that any n-dimensional semi-Riemannian manifold can be locally embedded in a (n+1)-dimensional space with a non-degenerate Ricci tensor which is equal, up to a local analytic diffeomorphism, to the Ricci tensor of an arbitrary specified space. This may be regarded as a further extension of the Campbell-Magaard theorem. We highlight the significance of embedding theorems of increasing degrees of generality in the context of higher dimensional spacetimes theories and illustrate the new theorem by establishing the embedding of a general class of Ricci-flat spacetimes.

Affiliated with

Also associated with

No associations

Rating

The embedding of the spacetime in five-dimensional spaces with arbitrary non-degenerate Ricci tensor does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The embedding of the spacetime in five-dimensional spaces with arbitrary non-degenerate Ricci tensor, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The embedding of the spacetime in five-dimensional spaces with arbitrary non-degenerate Ricci tensor will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-394605