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Phys. Rev. D 61, 124026 (2000) [9 pages]

Dual geometries and spacetime singularities

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Israel Quiros*
Departamento de Fisica, Universidad Central de Las Villas, Santa Clara, CP: 54830 Villa Clara, Cuba

Received 1 June 1999; revised 28 January 2000; published 30 May 2000

The notion of geometrical duality is discussed in the context of both Brans-Dicke theory and general relativity. It is shown that, in some particular solutions, the spacetime singularities that arise in usual Riemannian general relativity may be avoided in its dual representation (Weyl-type general relativity). This dual representation provides a singularity-free picture of the world that is physically equivalent to the canonical general relativistic one.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.124026
DOI:
10.1103/PhysRevD.61.124026
PACS:
04.50.+h, 04.20.Dw, 04.70.Bw, 98.80.-k

*Email address: israel@uclv.etecsa.cu