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arXiv · 1506.02180

Space-time singularities in Weyl manifolds

I. P. Lobo·A. B. Barreto·C. Romero
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Abstract

We extend one of the Hawking-Penrose singularity theorems in general relativity to the case of some scalar-tensor gravity theories in which the scalar field has a geometrical character and space-time has the mathematical structure of a Weyl integrable space-time (WIST). We adopt an invariant formalism, so that the extended version of theorem does not depend on a particular frame.

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I. P. Lobo, A. B. Barreto, C. Romero. 2015-07-05. Space-time singularities in Weyl manifolds. https://doi.org/10.1140/epjc%2Fs10052-015-3671-7

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