No-hair theorems in General Relativity and scalar-tensor theories
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918006932635648 |
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| author | Yazadjiev, Stoytcho Doneva, Daniela |
| author_facet | Yazadjiev, Stoytcho Doneva, Daniela |
| contents | In the present review, we consider the status of the classification of the vacuum, stationary and asymptotically flat black holes in scalar-tensor gravity. Contrary to the similar problem in general relativity, the black hole classification in scalar-tensor theories is much more challenging due to the very complicated character of the field equations and the very complex mathematical structure of the scalar-tensor gravity as a whole. We review most of the known no-hair results, and where possible new ones, as well demonstrate some of the difficulties that appear in our attempts to classify the black holes within scalar-tensor gravity. The proofs of the theorems and the underlying mathematical techniques are given in sufficient detail. To make the review self-contained we also present the vacuum black hole uniqueness theorems in general relativity and their proofs. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2505_01038 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | No-hair theorems in General Relativity and scalar-tensor theories Yazadjiev, Stoytcho Doneva, Daniela General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory In the present review, we consider the status of the classification of the vacuum, stationary and asymptotically flat black holes in scalar-tensor gravity. Contrary to the similar problem in general relativity, the black hole classification in scalar-tensor theories is much more challenging due to the very complicated character of the field equations and the very complex mathematical structure of the scalar-tensor gravity as a whole. We review most of the known no-hair results, and where possible new ones, as well demonstrate some of the difficulties that appear in our attempts to classify the black holes within scalar-tensor gravity. The proofs of the theorems and the underlying mathematical techniques are given in sufficient detail. To make the review self-contained we also present the vacuum black hole uniqueness theorems in general relativity and their proofs. |
| title | No-hair theorems in General Relativity and scalar-tensor theories |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2505.01038 |