Regular black hole formation in four-dimensional non-polynomial gravities
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909862142672896 |
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| author | Bueno, Pablo Cano, Pablo A. Hennigar, Robie A. Murcia, Ángel J. |
| author_facet | Bueno, Pablo Cano, Pablo A. Hennigar, Robie A. Murcia, Ángel J. |
| contents | We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that produce actions with (i) second-order equations of motion in spherical symmetry and (ii) a Birkhoff theorem, ensuring uniqueness of the spherically symmetric solution. Upon spherical reduction to two dimensions, these theories map to a particular subclass of Horndeski scalar-tensor models, which we use to explicitly verify the formation of regular black holes as the byproduct of the collapse of pressureless stars and thin-shells. We also show that linear perturbations on top of maximally symmetric backgrounds are governed by second-order equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_19016 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regular black hole formation in four-dimensional non-polynomial gravities Bueno, Pablo Cano, Pablo A. Hennigar, Robie A. Murcia, Ángel J. General Relativity and Quantum Cosmology High Energy Physics - Theory We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that produce actions with (i) second-order equations of motion in spherical symmetry and (ii) a Birkhoff theorem, ensuring uniqueness of the spherically symmetric solution. Upon spherical reduction to two dimensions, these theories map to a particular subclass of Horndeski scalar-tensor models, which we use to explicitly verify the formation of regular black holes as the byproduct of the collapse of pressureless stars and thin-shells. We also show that linear perturbations on top of maximally symmetric backgrounds are governed by second-order equations. |
| title | Regular black hole formation in four-dimensional non-polynomial gravities |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.19016 |