Optical geometries

Date

2025

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Fino, A.
Leistner, T.
Taghavi-Chabert, A.

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Annali della Scuola Normale Superiore di Pisa: Classe di Scienze, 2025; XXVI(1):341-396

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Anna Fino, Thomas Leistner and 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. Such distributions are tangent to congruences of null curves, which play an important rˆole in general relativity. Their conformal properties are investigated. We also extend these ideas to generalised optical geometries as introduced by Robinson and Trautman.

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Published online March 2025.

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