Black bounces in Cotton gravity

Fuente: arXiv
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Autori principali: Junior, Ednaldo L. B., Junior, José Tarciso S. S., Lobo, Francisco S. N., Rodrigues, Manuel E., Rubiera-Garcia, Diego, da Silva, Luís F. Dias, Vieira, Henrique A.
Natura: Preprint
Pubblicazione: 2024
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author Junior, Ednaldo L. B.
Junior, José Tarciso S. S.
Lobo, Francisco S. N.
Rodrigues, Manuel E.
Rubiera-Garcia, Diego
da Silva, Luís F. Dias
Vieira, Henrique A.
author_facet Junior, Ednaldo L. B.
Junior, José Tarciso S. S.
Lobo, Francisco S. N.
Rodrigues, Manuel E.
Rubiera-Garcia, Diego
da Silva, Luís F. Dias
Vieira, Henrique A.
contents Recently, J. Harada proposed a theory relating gravity to the Cotton tensor, dubbed as ''Cotton gravity'' (CG). This is an extension of General Relativity such that every solution of the latter turns out to be a solution of the former (but the converse is not true) and, furthermore, it is possible to derive the cosmological constant as an integration constant within it. In this work we investigate CG by coupling it to both non-linear electrodynamics (NLED) and scalar fields. We study static and spherically symmetric solutions implementing a bouncing behaviour in the radial function so as to avoid the development of singularities, inspired by the Simpson-Visser black bounce and the Bardeen model, both interpreted as magnetic monopoles. We identify the NLED Lagrangian density and the scalar field potential generating such solutions, and investigate the corresponding gravitational configurations in terms of horizons, behaviour of the metric functions, and regularity of the Kretchsman curvature scalar. Our analysis extends the class of non-singular geometries found in the literature and paves the ground for further analysis of black holes in CG.
format Preprint
id arxiv_https___arxiv_org_abs_2407_21649
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Black bounces in Cotton gravity
Junior, Ednaldo L. B.
Junior, José Tarciso S. S.
Lobo, Francisco S. N.
Rodrigues, Manuel E.
Rubiera-Garcia, Diego
da Silva, Luís F. Dias
Vieira, Henrique A.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Recently, J. Harada proposed a theory relating gravity to the Cotton tensor, dubbed as ''Cotton gravity'' (CG). This is an extension of General Relativity such that every solution of the latter turns out to be a solution of the former (but the converse is not true) and, furthermore, it is possible to derive the cosmological constant as an integration constant within it. In this work we investigate CG by coupling it to both non-linear electrodynamics (NLED) and scalar fields. We study static and spherically symmetric solutions implementing a bouncing behaviour in the radial function so as to avoid the development of singularities, inspired by the Simpson-Visser black bounce and the Bardeen model, both interpreted as magnetic monopoles. We identify the NLED Lagrangian density and the scalar field potential generating such solutions, and investigate the corresponding gravitational configurations in terms of horizons, behaviour of the metric functions, and regularity of the Kretchsman curvature scalar. Our analysis extends the class of non-singular geometries found in the literature and paves the ground for further analysis of black holes in CG.
title Black bounces in Cotton gravity
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2407.21649