A universal relation among Euclidean integrals for black holes in higher-derivative gravity theories
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915611518435328 |
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| author | Xiao, Yong Wang, Qiang Zhang, Aonan |
| author_facet | Xiao, Yong Wang, Qiang Zhang, Aonan |
| contents | In this paper, we establish a universal equality governing Euclidean integrals of gravitational actions in higher-derivative theories. This relation is shown to hold universally for asymptotically flat black holes in pure gravity, and is generalized to asymptotically anti-de Sitter (AdS) spacetimes through appropriate regularization. We further examine its validity in systems with matter-gravity coupling, identifying that violations occur only when matter fields exhibit pathological behaviors: divergence at the horizon or non-decaying profiles at infinity. These findings reveal fundamental constraints on gravitational thermodynamics and provide diagnostic tools for identifying ill-behaved matter configurations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_05326 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A universal relation among Euclidean integrals for black holes in higher-derivative gravity theories Xiao, Yong Wang, Qiang Zhang, Aonan General Relativity and Quantum Cosmology In this paper, we establish a universal equality governing Euclidean integrals of gravitational actions in higher-derivative theories. This relation is shown to hold universally for asymptotically flat black holes in pure gravity, and is generalized to asymptotically anti-de Sitter (AdS) spacetimes through appropriate regularization. We further examine its validity in systems with matter-gravity coupling, identifying that violations occur only when matter fields exhibit pathological behaviors: divergence at the horizon or non-decaying profiles at infinity. These findings reveal fundamental constraints on gravitational thermodynamics and provide diagnostic tools for identifying ill-behaved matter configurations. |
| title | A universal relation among Euclidean integrals for black holes in higher-derivative gravity theories |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.05326 |