Embeddings in Non-Vacuum Spacetimes

Details Embeddings in Non-Vacuum Spacetimes Embeddings in Non-Vacuum Spacetimes

2001-06-28

arxiv.org/abs/gr-qc/0106090v2

Class.Quant.Grav. 18 (2001) 4831-4844

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, Plain Latex. Extended discussion on embeddings with scalar fields and further examples included. In press, Classical

Scientific paper

10.1088/0264-9381/18/22/309

A scheme is discussed for embedding n-dimensional, Riemannian manifolds in an
(n+1)-dimensional Einstein space. Criteria for embedding a given manifold in a
spacetime that represents a solution to Einstein's equations sourced by a
massless scalar field are also discussed. The embedding procedures are
illustrated with a number of examples.

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