Purely metric Horndeski theories and spontaneous curvaturization of black holes
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| Format: | Preprint |
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2025
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| _version_ | 1866918007229382656 |
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| author | Eichhorn, Astrid Fernandes, Pedro G. S. |
| author_facet | Eichhorn, Astrid Fernandes, Pedro G. S. |
| contents | We explore purely metric theories of gravity with second-order equations of motion and a single additional, purely gravitational, propagating, scalar degree of freedom. We identify a subclass of these theories in which this scalar causes a phenomenon similar to black-hole scalarization, which we call curvaturization: around small enough Kerr black holes, the scalar induces a tachyonic instability. This triggers a sudden growth of Ricci curvature and results in a new branch of vacuum black-hole solutions. We study the properties of these black holes both in the static as well as the spinning case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14717 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Purely metric Horndeski theories and spontaneous curvaturization of black holes Eichhorn, Astrid Fernandes, Pedro G. S. General Relativity and Quantum Cosmology High Energy Physics - Theory We explore purely metric theories of gravity with second-order equations of motion and a single additional, purely gravitational, propagating, scalar degree of freedom. We identify a subclass of these theories in which this scalar causes a phenomenon similar to black-hole scalarization, which we call curvaturization: around small enough Kerr black holes, the scalar induces a tachyonic instability. This triggers a sudden growth of Ricci curvature and results in a new branch of vacuum black-hole solutions. We study the properties of these black holes both in the static as well as the spinning case. |
| title | Purely metric Horndeski theories and spontaneous curvaturization of black holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2502.14717 |