Spacetime singularities and caustic of outgoing null hypersurfaces

Fuente: arXiv
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Autor principal: Joshi, Ashok B.
Formato: Preprint
Publicado: 2024
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author Joshi, Ashok B.
author_facet Joshi, Ashok B.
contents In this paper, we investigate the caustic point developed by outgoing null hypersurfaces and the behavior of null curves. We analyze three cases: Future, past, and zero caustic point terminology for outgoing null hypersurfaces in the marginally bound Lemaitre-Tolman-Bondi (LTB) metric for homogenous and inhomogeneous cases defined in the present work. We show the criteria to form local and globally visible singularity in terms of the tangent on the apparent horizon curve.
format Preprint
id arxiv_https___arxiv_org_abs_2402_15156
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spacetime singularities and caustic of outgoing null hypersurfaces
Joshi, Ashok B.
General Relativity and Quantum Cosmology
In this paper, we investigate the caustic point developed by outgoing null hypersurfaces and the behavior of null curves. We analyze three cases: Future, past, and zero caustic point terminology for outgoing null hypersurfaces in the marginally bound Lemaitre-Tolman-Bondi (LTB) metric for homogenous and inhomogeneous cases defined in the present work. We show the criteria to form local and globally visible singularity in terms of the tangent on the apparent horizon curve.
title Spacetime singularities and caustic of outgoing null hypersurfaces
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2402.15156