A Topological Origin of Black Hole Mass

Fuente: arXiv
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Autore principale: Sengupta, Sandipan
Natura: Preprint
Pubblicazione: 2026
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author Sengupta, Sandipan
author_facet Sengupta, Sandipan
contents We show that the notion of a black hole mass could be superceded by that of a topological charge in a spacetime without matter and curvature singularity. This feature emerges through a set new spacetime solutions of first order gravity in vacuum, named as bubble spacetimes, constructed here by weaving together the degenerate and nondegenerate metric phases. For a static bubble, the boundary surface connecting the two phases is characterized by a universal topological number. Notably, this surface coincides with the photon sphere of the conventional black hole irrespective of the presence of the cosmological constant. In contrast, a phase boundary located at the event horizon is shown to be topologically trivial. Thus, along with the black hole mass, the photon sphere also acquires a topological interpretation.
format Preprint
id arxiv_https___arxiv_org_abs_2604_02895
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Topological Origin of Black Hole Mass
Sengupta, Sandipan
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We show that the notion of a black hole mass could be superceded by that of a topological charge in a spacetime without matter and curvature singularity. This feature emerges through a set new spacetime solutions of first order gravity in vacuum, named as bubble spacetimes, constructed here by weaving together the degenerate and nondegenerate metric phases. For a static bubble, the boundary surface connecting the two phases is characterized by a universal topological number. Notably, this surface coincides with the photon sphere of the conventional black hole irrespective of the presence of the cosmological constant. In contrast, a phase boundary located at the event horizon is shown to be topologically trivial. Thus, along with the black hole mass, the photon sphere also acquires a topological interpretation.
title A Topological Origin of Black Hole Mass
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2604.02895