References & Citations
General Relativity and Quantum Cosmology
Title: Asymptotically AdS black hole with a conformally-coupled scalar field in the first-order formalism of gravity
(Submitted on 7 Feb 2024 (v1), last revised 18 Apr 2024 (this version, v2))
Abstract: 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.
Submission history
From: Omar Valdivia O. Valdivia [view email][v1] Wed, 7 Feb 2024 01:12:49 GMT (27kb)
[v2] Thu, 18 Apr 2024 16:24:44 GMT (22kb)
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