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arxiv: gr-qc/9905071 · v4 · submitted 1999-05-19 · 🌀 gr-qc

Dual geometries and spacetime singularities

Israel Quiros (Dpto.Fisica. Universidad Central de Las Villas. Santa Clara. Cuba.) This is my paper
classification 🌀 gr-qc
keywords generaldualrelativityrepresentationsingularitiesspacetimeariseavoided
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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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  1. Could a so far ignored symmetry of the classical laws of gravity explain the cosmological puzzles?

    gr-qc 2025-10 unverdicted novelty 5.0

    Weyl symmetry of gravity is restored if masses transform as m → Ω^{-1}m under conformal changes, allowing any matter to couple invariantly and potentially accounting for dark energy and dark matter.