Hairy Black Holes: Non-existence of Short Hairs and Bound on Light Ring Size
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909222642384896 |
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| author | Ghosh, Rajes Sk, Selim Sarkar, Sudipta |
| author_facet | Ghosh, Rajes Sk, Selim Sarkar, Sudipta |
| contents | Several hairy black hole solutions are known to violate the original version of the celebrated no-hair conjecture. This prompted the development of a new theorem that establishes a universal lower bound on the extension of hairs outside any $4$-dimensional black hole solutions of general relativity. Our work presents a novel generalization of this ``no-short hair'' theorem, which notably does not use gravitational field equations and is valid for arbitrary spacetime dimensions ($D \geq 4$). Consequently, irrespective of the underlying theory of gravity, the ``hairosphere'' must extend to the innermost light ring of the black hole spacetime. Various possible observational implications of this intriguing theorem are discussed, and other useful consequences are explored. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_14193 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hairy Black Holes: Non-existence of Short Hairs and Bound on Light Ring Size Ghosh, Rajes Sk, Selim Sarkar, Sudipta General Relativity and Quantum Cosmology High Energy Physics - Theory Several hairy black hole solutions are known to violate the original version of the celebrated no-hair conjecture. This prompted the development of a new theorem that establishes a universal lower bound on the extension of hairs outside any $4$-dimensional black hole solutions of general relativity. Our work presents a novel generalization of this ``no-short hair'' theorem, which notably does not use gravitational field equations and is valid for arbitrary spacetime dimensions ($D \geq 4$). Consequently, irrespective of the underlying theory of gravity, the ``hairosphere'' must extend to the innermost light ring of the black hole spacetime. Various possible observational implications of this intriguing theorem are discussed, and other useful consequences are explored. |
| title | Hairy Black Holes: Non-existence of Short Hairs and Bound on Light Ring Size |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2306.14193 |