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

30 Aug 2019 Luz Paulo Mena Filipe C.

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... (read more)

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  • GENERAL RELATIVITY AND QUANTUM COSMOLOGY