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| Format: | Preprint |
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2024
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| Online Access: | https://arxiv.org/abs/2401.04561 |
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| _version_ | 1866910291851214848 |
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| author | Daripa, Ayan Mahapatra, Subhash |
| author_facet | Daripa, Ayan Mahapatra, Subhash |
| contents | We construct and discuss new solutions of primary hair charged black holes in asymptotically Anti-de Sitter (AdS) space that have well-defined Coulomb-like potential in three dimensions. The gauge field source to the Einstein equation is a power-Maxwell nonlinear electrodynamics with traceless energy-momentum tensor. The coupled Einstein-power-Maxwell-scalar gravity system, which carries the coupling $f(ϕ)$ between the gauge and scalar fields, is analyzed, and hairy charged black hole solutions are found analytically. We consider three different profiles of the coupling functions: (i) $f(ϕ)=1$, corresponding to no direct coupling between the gauge and scalar fields, (ii) $f(ϕ)=e^ϕ$, and (iii) $f(ϕ)=e^{ϕ^2/2}$, corresponding to their non-minimal coupling. For all these cases, the scalar field, gauge fields, and curvature scalars are regular and well-behaved everywhere outside the horizon. We further study the thermodynamics of the obtained hairy black hole in the canonical and grand-canonical ensembles and find significant changes in its thermodynamic structure due to the scalar field. In particular, for all considered coupling functions, the hairy parameter has a critical value above which the hairy black hole undergoes the Hawking/Page phase transition, whereas below which no such phase transition appears. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04561 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytic three-dimensional primary hair charged black holes with Coulomb-like electrodynamics and their thermodynamics Daripa, Ayan Mahapatra, Subhash General Relativity and Quantum Cosmology High Energy Physics - Theory We construct and discuss new solutions of primary hair charged black holes in asymptotically Anti-de Sitter (AdS) space that have well-defined Coulomb-like potential in three dimensions. The gauge field source to the Einstein equation is a power-Maxwell nonlinear electrodynamics with traceless energy-momentum tensor. The coupled Einstein-power-Maxwell-scalar gravity system, which carries the coupling $f(ϕ)$ between the gauge and scalar fields, is analyzed, and hairy charged black hole solutions are found analytically. We consider three different profiles of the coupling functions: (i) $f(ϕ)=1$, corresponding to no direct coupling between the gauge and scalar fields, (ii) $f(ϕ)=e^ϕ$, and (iii) $f(ϕ)=e^{ϕ^2/2}$, corresponding to their non-minimal coupling. For all these cases, the scalar field, gauge fields, and curvature scalars are regular and well-behaved everywhere outside the horizon. We further study the thermodynamics of the obtained hairy black hole in the canonical and grand-canonical ensembles and find significant changes in its thermodynamic structure due to the scalar field. In particular, for all considered coupling functions, the hairy parameter has a critical value above which the hairy black hole undergoes the Hawking/Page phase transition, whereas below which no such phase transition appears. |
| title | Analytic three-dimensional primary hair charged black holes with Coulomb-like electrodynamics and their thermodynamics |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2401.04561 |