Background subtraction method is not only much simpler, but also as applicable as covariant counterterm method
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908343550869504 |
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| author | Guo, Wei Guo, Xiyao Lan, Xin Zhang, Hongbao Zhang, Wei |
| author_facet | Guo, Wei Guo, Xiyao Lan, Xin Zhang, Hongbao Zhang, Wei |
| contents | As the criterion for the applicability of the background subtraction method, not only the finiteness condition of the resulting Hamiltonian but also the condition for the validity of the first law of black hole thermodynamics can be reduced to the form amenable to much simpler analysis at infinity by using the covariant phase space formalism. With this, we further establish that the background subtraction method is as applicable as the covariant counterterm method not only to Einstein's gravity, but also to its higher derivative corrections for black hole thermodynamics in both asymptotically flat and AdS spacetimes. In addition, our framework also provides us with the first derivation of the universal expression of the Gibbs free energy in terms of the Euclidean on-shell action beyond Einstein's gravity. Among others, our findings have a far reaching impact on the shift in methodology for the Euclidean approach to black hole thermodynamics, where the well justified background subtraction method by our wieldy criterion is supposed to be the favored choice compared to the covariant counterterm method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08214 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Background subtraction method is not only much simpler, but also as applicable as covariant counterterm method Guo, Wei Guo, Xiyao Lan, Xin Zhang, Hongbao Zhang, Wei High Energy Physics - Theory General Relativity and Quantum Cosmology As the criterion for the applicability of the background subtraction method, not only the finiteness condition of the resulting Hamiltonian but also the condition for the validity of the first law of black hole thermodynamics can be reduced to the form amenable to much simpler analysis at infinity by using the covariant phase space formalism. With this, we further establish that the background subtraction method is as applicable as the covariant counterterm method not only to Einstein's gravity, but also to its higher derivative corrections for black hole thermodynamics in both asymptotically flat and AdS spacetimes. In addition, our framework also provides us with the first derivation of the universal expression of the Gibbs free energy in terms of the Euclidean on-shell action beyond Einstein's gravity. Among others, our findings have a far reaching impact on the shift in methodology for the Euclidean approach to black hole thermodynamics, where the well justified background subtraction method by our wieldy criterion is supposed to be the favored choice compared to the covariant counterterm method. |
| title | Background subtraction method is not only much simpler, but also as applicable as covariant counterterm method |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2501.08214 |