Asymptotically AdS black hole with a conformally-coupled scalar field in the first-order formalism of gravity
| Title: | Asymptotically AdS black hole with a conformally-coupled scalar field in the first-order formalism of gravity |
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| Authors: | Avilés, L., Corral, C., Izaurieta, F., Valdivia, O., Vera, C. |
| Publication Year: | 2024 |
| Collection: | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| Subject Terms: | General Relativity and Quantum Cosmology, High Energy Physics - Theory |
| More Details: | 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. Comment: References added. Matches published version |
| Document Type: | Working Paper |
| DOI: | 10.1103/PhysRevD.109.084039 |
| Access URL: | http://arxiv.org/abs/2402.04503 |
| Accession Number: | edsarx.2402.04503 |
| Database: | arXiv |
| DOI: | 10.1103/PhysRevD.109.084039 |
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