Black Hole Entropy Bounded by the Specific Heat
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911073916944384 |
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| author | Lu, Kai-Peng Lu, H. |
| author_facet | Lu, Kai-Peng Lu, H. |
| contents | We propose new bounds on black hole entropy in terms of the specific heat at fixed charges. For special spherically-symmetric and static black holes ($g_{tt} g_{rr}=-1$), we prove the bounds with suitable sufficient energy conditions. For more general static and rotating black holes, we test the bounds with a variety of examples. This work extends the previously-known algebraic inequalities of the black hole thermodynamic variables such as the Penrose inequality, to include their derivatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Black Hole Entropy Bounded by the Specific Heat Lu, Kai-Peng Lu, H. General Relativity and Quantum Cosmology High Energy Physics - Theory We propose new bounds on black hole entropy in terms of the specific heat at fixed charges. For special spherically-symmetric and static black holes ($g_{tt} g_{rr}=-1$), we prove the bounds with suitable sufficient energy conditions. For more general static and rotating black holes, we test the bounds with a variety of examples. This work extends the previously-known algebraic inequalities of the black hole thermodynamic variables such as the Penrose inequality, to include their derivatives. |
| title | Black Hole Entropy Bounded by the Specific Heat |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.17812 |