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Exact Black-Hole Solution With Self-Interacting Scalar Field

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arxiv gr-qc/9502011 v3 pith:CWZRX6FJ submitted 1995-02-03 gr-qc hep-th

Olaf Bechmann , Olaf Lechtenfeld (Univ. of Hannover , Germany) This is my paper · ORCID
classification gr-qchep-th
keywords fieldscalarblack-holeself-interactingsolutionaroundclosedconstruct
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Einstein gravity minimally coupled to a self-interacting scalar field is investigated in the static and isotropic situation. We explicitly construct in partially closed form a new black-hole solution with exponentially decaying scalar hair. The symmetric interaction potential has both signs and a triple-well shape with a smooth but non-analytic minimum at vanishing field. We present numerical data as well as double series expansions around spatial infinity.

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Forward citations

Cited by 3 Pith papers

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

  1. Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential

    gr-qc 2025-01 unverdicted novelty 4.0 of 10

    Hairy black hole shadows and disks grow with horizon scalar value but can mimic Schwarzschild by adjusting horizon radius, with the potential parameter Lambda constrained by supermassive black hole observations.

  2. 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.

  3. 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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