Work

Optical geometries

Year: 2020

Type: preprint

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 rôle in general relativity. Conformal properties of these are investigated. We also extend this concept to generalised optical geometries as introduced by Robinson and Trautman.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2009.10012

Authors: Fino, Anna, Leistner, Thomas, Taghavi-Chabert, Arman

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: American University of Beirut, Grantová Agentura České Republiky, Ministerstwo Edukacji i Nauki, Australian Research Council, Instytut Matematyczny, Polskiej Akademii Nauk

Awards: G1100101037, G2346625195, Symmetry and invariance in analysis, geometric modelling and control theory, Symmetry and geometric partial differential equations, G3320837874

OpenAlex ID: W4293879378

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