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Einstein-scalar-Gauss-Bonnet black holes: Analytical approximation for the metric and applications to calculations of shadows

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arxiv 1907.10112 v3 pith:GUC7QM7H submitted 2019-07-23 gr-qc astro-ph.HEhep-th

Roman A. Konoplya , Thomas Pappas , Alexander Zhidenko This is my paper · ORCID
classification gr-qcastro-ph.HEhep-th
keywords analyticalsolutionsapproximationapproximationsbeenblackeinstein-scalar-gauss-bonnetfield
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Recently, numerical solutions to the field equations of Einstein-scalar-Gauss-Bonnet gravity that correspond to black-holes with non-trivial scalar hair have been reported. Here, we employ the method of the continued-fraction expansion in terms of a compact coordinate in order to obtain an analytical approximation for the aforementioned solutions. For a wide variety of coupling functionals to the Gauss-Bonnet term we were able to obtain analytical expressions for the metric functions and the scalar field. In addition we estimated the accuracy of these approximations by calculating the black-hole shadows for such black holes. Excellent agreement between the numerical solutions and analytical approximations has been found.

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Cited by 3 Pith papers

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

  1. On new regular charged black hole solutions: Limiting Curvature Condition, Quasinormal modes and Shadows

    gr-qc 2024-11 conditional novelty 5.0 of 10

    The authors introduce two new regular black hole metrics from nonlinear electrodynamics and two Limiting Curvature Condition versions, with numerical results for stability, shadows, and quasinormal modes.

  2. Analytically approximated scalarized black holes and their thermodynamic stability

    gr-qc 2019-08 conditional novelty 4.0 of 10

    Scalarized black holes in quadratic Einstein-scalar-Gauss-Bonnet gravity have lower horizon entropy than Schwarzschild, so they may decay back to Schwarzschild.

  3. Compact Objects in Einstein-scalar-Gauss-Bonnet Theory and beyond

    gr-qc 2024-12 unverdicted novelty 2.0 of 10

    A review of compact-object solutions in Einstein-scalar-Gauss-Bonnet and Horndeski theories, emphasizing scalarized black holes, traversable wormholes, and bubble-like particle solutions.

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