Regular black holes inspired by quasi-topological gravity
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912393832955904 |
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| author | Frolov, Valeri P. Koek, Alex Soto, Jose Pinedo Zelnikov, Andrei |
| author_facet | Frolov, Valeri P. Koek, Alex Soto, Jose Pinedo Zelnikov, Andrei |
| contents | Recently it was demonstrated that by adding to the Einstein-Hilbert action a series in powers of the curvature invariants with specially chosen coefficients one can obtain a theory of gravity which has spherically symmetric solutions describing regular black holes. Its reduced action depends on a function of one of the basic curvature invariants of the corresponding metric. In this paper we study a generalization of this model to the case when this function depends on all the basic curvature invariants. We show that the metrics which are solutions of such a model possess a universal scaling property. We demonstrate that there exists a special class of such models for which the ``master" equation for a basic curvature invariant is a linear second order ordinary differential equation. We specify a domain in the space of parameters of the model for which the corresponding solutions describe regular static spherically symmetric black holes and study their properties. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_16050 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regular black holes inspired by quasi-topological gravity Frolov, Valeri P. Koek, Alex Soto, Jose Pinedo Zelnikov, Andrei General Relativity and Quantum Cosmology Recently it was demonstrated that by adding to the Einstein-Hilbert action a series in powers of the curvature invariants with specially chosen coefficients one can obtain a theory of gravity which has spherically symmetric solutions describing regular black holes. Its reduced action depends on a function of one of the basic curvature invariants of the corresponding metric. In this paper we study a generalization of this model to the case when this function depends on all the basic curvature invariants. We show that the metrics which are solutions of such a model possess a universal scaling property. We demonstrate that there exists a special class of such models for which the ``master" equation for a basic curvature invariant is a linear second order ordinary differential equation. We specify a domain in the space of parameters of the model for which the corresponding solutions describe regular static spherically symmetric black holes and study their properties. |
| title | Regular black holes inspired by quasi-topological gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2411.16050 |