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Scalar Hairy Black Holes with Inverted Mexican Hat Potential

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arxiv 2307.13972 v1 pith:FCBV5L7R submitted 2023-07-26 gr-qc hep-th

classification gr-qchep-th
keywords blackhairyholesscalarfieldhorizoninvertedlinear
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We numerically construct the asymptotically flat solutions of hairy black holes supported by a symmetric inverted Mexican hat potential with a local minimum and two degenerate global maxima of a real scalar field that contains a quartic self-interaction term. The solutions of hairy black holes emerge from the Schwarzschild black hole when the non-trivial scalar field exists outside the event horizon. Therefore, we perform a comprehensive study on the properties of the hairy black holes such as the area of horizon, the Hawking temperature, the innermost stable circular orbit, the photon sphere, etc. We also numerically study their linear stability in the mode analysis, hence finding that they are unstable against the linear perturbation.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Image of Scalar Hairy Black Holes with Asymmetric Potential

    gr-qc 2024-11 conditional novelty 4.0 of 10

    The optical appearance of a scalar hairy black hole with asymmetric potential is computed, and its shadow size is used to constrain the potential parameters with EHT observations.

  2. Traversable Wormholes with Spontaneous Symmetry Breaking

    gr-qc 2024-11 reject novelty 3.0 of 10

    The paper constructs phantom-scalar wormhole metrics and reverse-engineers a symmetry-breaking potential, but the solution does not satisfy the stated field equations for generic parameters and the photon-sphere radiu...

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