Black hole thermodynamics probes the equivalence principle
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915505462312960 |
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| author | Alonso-Serrano, Ana Garay, Luis J. Liška, Marek |
| author_facet | Alonso-Serrano, Ana Garay, Luis J. Liška, Marek |
| contents | The equivalence principle for test gravitational physics strongly constrains dynamics of spacetime, providing a powerful criterion for selecting candidate theories of gravity. However, checking its validity for a particular theory is often a very difficult task. We devise here a simple theoretical criterion for identifying equivalence principle violations in black hole thermodynamics. Employing this criterion, we prove that Lanczos-Lovelock gravity violates the strong equivalence principle, leaving general relativity as the only local, diffeomorphism-invariant theory compatible with it. However, we also show that certain nonlocal expressions for black hole entropy appear to obey the strong equivalence principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10934 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Black hole thermodynamics probes the equivalence principle Alonso-Serrano, Ana Garay, Luis J. Liška, Marek General Relativity and Quantum Cosmology High Energy Physics - Theory The equivalence principle for test gravitational physics strongly constrains dynamics of spacetime, providing a powerful criterion for selecting candidate theories of gravity. However, checking its validity for a particular theory is often a very difficult task. We devise here a simple theoretical criterion for identifying equivalence principle violations in black hole thermodynamics. Employing this criterion, we prove that Lanczos-Lovelock gravity violates the strong equivalence principle, leaving general relativity as the only local, diffeomorphism-invariant theory compatible with it. However, we also show that certain nonlocal expressions for black hole entropy appear to obey the strong equivalence principle. |
| title | Black hole thermodynamics probes the equivalence principle |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.10934 |