Asymptotically AdS black hole with a conformally-coupled scalar field in the first-order formalism of gravity

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Auteurs principaux: Avilés, L., Corral, C., Izaurieta, F., Valdivia, O., Vera, C.
Format: Preprint
Publié: 2024
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author Avilés, L.
Corral, C.
Izaurieta, F.
Valdivia, O.
Vera, C.
author_facet Avilés, L.
Corral, C.
Izaurieta, F.
Valdivia, O.
Vera, C.
contents We present a novel asymptotically anti-de Sitter black hole solution with conformally-coupled scalar fields in the first-order formalism of gravity in four dimensions. To do so, we consider a one-parameter extension of conformal transformations by exploiting the fact that the vielbein and spin connection are regarded as independent fields. We solve the field equations analytically and obtain a static black hole solution with nontrivial torsion sourced by the conformal coupling between the scalar field and geometry. The presence of torsion renders the scalar field everywhere regular, while the curvature and torsion singularities coalesce into the origin. We show that this configuration is continuously connected to previously reported solutions in the limit of vanishing torsion and analyze its main properties, focusing on the consequences of the torsional singularity.
format Preprint
id arxiv_https___arxiv_org_abs_2402_04503
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Asymptotically AdS black hole with a conformally-coupled scalar field in the first-order formalism of gravity
Avilés, L.
Corral, C.
Izaurieta, F.
Valdivia, O.
Vera, C.
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We present a novel asymptotically anti-de Sitter black hole solution with conformally-coupled scalar fields in the first-order formalism of gravity in four dimensions. To do so, we consider a one-parameter extension of conformal transformations by exploiting the fact that the vielbein and spin connection are regarded as independent fields. We solve the field equations analytically and obtain a static black hole solution with nontrivial torsion sourced by the conformal coupling between the scalar field and geometry. The presence of torsion renders the scalar field everywhere regular, while the curvature and torsion singularities coalesce into the origin. We show that this configuration is continuously connected to previously reported solutions in the limit of vanishing torsion and analyze its main properties, focusing on the consequences of the torsional singularity.
title Asymptotically AdS black hole with a conformally-coupled scalar field in the first-order formalism of gravity
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2402.04503