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arXiv · 2009.10012

Optical geometries

Anna Fino·Thomas Leistner·Arman Taghavi-Chabert
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Abstract

We study the notion of optical geometry, defined to be a Lorentzian manifold equipped with a null line distribution, from the perspective of intrinsic torsion. This is an instance of a non-integrable version of holonomy reduction in Lorentzian geometry. These generate congruences of null curves, which play an important r\^{o}le in general relativity. Conformal properties of these are investigated. We also extend this concept to generalised optical geometries as introduced by Robinson and Trautman.

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Anna Fino, Thomas Leistner, Arman Taghavi-Chabert. 2020-09-21. Optical geometries. https://arxiv.org/abs/2009.10012

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