Novel topological black holes from thermodynamics and deforming horizons

Jinbo Yang

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arXiv · 2301.01709

Novel topological black holes from thermodynamics and deforming horizons

Jinbo Yang

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Abstract

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.

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Jinbo Yang. 2023-01-04. Novel topological black holes from thermodynamics and deforming horizons. https://arxiv.org/abs/2301.01709

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