Novel topological black holes from thermodynamics and deforming horizons
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866929213318103040 |
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| author | Yang, Jinbo |
| author_facet | Yang, Jinbo |
| contents | Two novel topological black hole exact solutions with unusual shapes of horizons in the simplest holographic axions model, the four-dimensional Einstein-Maxwell-axions theory, are constructed. We draw embedding diagrams in various situations to display unusual shapes of novel black holes. To understand their thermodynamics from the quasi-local aspect, we re-derive the unified first law and the Misner-Sharp mass from the Einstein equations for the spacetime as a warped product $\M2 \times \Mco2$. The Ricci scalar $\Rhat$ of the sub-manifold $\Mco2$ can be a non-constant. We further improve the thermodynamics method based on the unified first law. Such a method simplifies constructing solutions and hints at generalization to higher dimensions. Moreover, we apply the unified first law to discuss black hole thermodynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_01709 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Novel topological black holes from thermodynamics and deforming horizons Yang, Jinbo General Relativity and Quantum Cosmology High Energy Physics - Theory Two novel topological black hole exact solutions with unusual shapes of horizons in the simplest holographic axions model, the four-dimensional Einstein-Maxwell-axions theory, are constructed. We draw embedding diagrams in various situations to display unusual shapes of novel black holes. To understand their thermodynamics from the quasi-local aspect, we re-derive the unified first law and the Misner-Sharp mass from the Einstein equations for the spacetime as a warped product $\M2 \times \Mco2$. The Ricci scalar $\Rhat$ of the sub-manifold $\Mco2$ can be a non-constant. We further improve the thermodynamics method based on the unified first law. Such a method simplifies constructing solutions and hints at generalization to higher dimensions. Moreover, we apply the unified first law to discuss black hole thermodynamics. |
| title | Novel topological black holes from thermodynamics and deforming horizons |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2301.01709 |