On Applications of Campbell's Embedding Theorem

Details On Applications of Campbell's Embedding Theorem On Applications of Campbell's Embedding Theorem

1999-07-09

arxiv.org/abs/gr-qc/9907040v1

Class.Quant.Grav.14:865-879,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, standard Latex source

Scientific paper

10.1088/0264-9381/14/4/005

A little known theorem due to Campbell is employed to establish the local
embedding of a wide class of 4-dimensional spacetimes in 5-dimensional
Ricci-flat spaces. An embedding for the class of n-dimensional Einstein spaces
is also found. The local nature of Campbell's theorem is highlighted by
studying the embedding of some lower-dimensional spaces.

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