Dual geometries and spacetime singularities

Details Dual geometries and spacetime singularities Dual geometries and spacetime singularities

1999-05-19

arxiv.org/abs/gr-qc/9905071v4

Phys.Rev. D61 (2000) 124026

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, LaTeX, no figures, version accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.61.124026

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 physicaly equivalent to the canonical general relativistic one.

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