Optical geometries
Date
2025
Authors
Fino, A.
Leistner, T.
Taghavi-Chabert, A.
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Journal article
Citation
Annali della Scuola Normale Superiore di Pisa: Classe di Scienze, 2025; XXVI(1):341-396
Statement of Responsibility
Anna Fino, Thomas Leistner and Arman Taghavi-Chabert
Conference Name
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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