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Numerical Black Hole Solutions in Modified Gravity Theories: Axial Symmetry Case

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arxiv 2009.10614 v1 pith:U2Z2HCPE submitted 2020-09-22 gr-qc

Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou This is my paper · ORCID
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keywords numericalsolutionsblackcodegravityholemodifiedanalytical
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We extend a recently developed numerical code to obtain stationary, axisymmetric solutions that describe rotating black hole spacetimes in a wide class of modified theories of gravity. The code utilizes a relaxed Newton-Raphson method to solve the full nonlinear modified Einstein's Equations on a two-dimensional grid with a Newton polynomial finite difference scheme. We validate this code by considering static and axisymmetric black holes in General Relativity. We obtain rotating black hole solutions in scalar-Gauss-Bonnet gravity with a linear (linear scalar-Gauss-Bonnet) and an exponential (Einstein-dilaton-Gauss-Bonnet) coupling and compare them to analytical and numerical perturbative solutions. From these numerical solutions, we construct a fitted analytical model and study observable properties calculated from the numerical results.

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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. Spacetime of rotating black holes surrounded by massive scalar charges

    gr-qc 2026-02 conditional novelty 6.0 of 10

    Spectral methods construct leading-order spinning black-hole spacetimes with massive scalar hair for spin a≤0.8 and scalar mass µ≤0.2/M.

  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.

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