Research PapersNo Access

EMBEDDING GÖDEL'S UNIVERSE IN FIVE DIMENSIONS

J. B. FONSECA-NETO

Departamento de Física, Universidade Federal da Paraíba, C.Postal 5008, 58051-970 João Pessoa, Pb, Brazil

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C. ROMERO

Departamento de Física, Universidade Federal da Paraíba, C.Postal 5008, 58051-970 João Pessoa, Pb, Brazil

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, and

F. DAHIA

Departamento de Física, Universidade Federal de Campina, Grande, 58109-970, Campina Grande, Pb, Brazil

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https://doi.org/10.1142/S0217732306019001Cited by:4 (Source: Crossref)

Abstract

According to the Campbell–Magaard theorem, any analytical spacetime can be locally and analytically embedded into a five-dimensional pseudo-Riemannian Ricci-flat manifold. This embedding for Gödel's universe can be found. The embedding space is Ricci-flat and has a non-Lorentzian signature of type (+ + - - -). We also show that the embedding found is global.

Keywords:

PACS: 04.50.+h, 04.20.Cv

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