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arXiv · 1909.00018

Singularity theorems and the inclusion of torsion in affine theories of gravity

Paulo Luz·Filipe C. Mena
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Abstract

We extend the scope of the Raychaudhuri-Komar singularity theorem of General Relativity to affine theories of gravity with and without torsion. We first generalize the existing focusing theorems using time-like and null congruences of curves which are hypersurface orthogonal, showing how the presence of torsion affects the formation of focal points in Lorentzian manifolds. Considering the energy conservation on a given affine gravity theory, we prove new singularity theorems for accelerated curves in the cases of Lorentzian manifolds containing perfect fluids or scalar field matter sources.

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Paulo Luz, Filipe C. Mena. 2019-08-30. Singularity theorems and the inclusion of torsion in affine theories of gravity. https://doi.org/10.1063/1.5126220

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