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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

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

classification gr-qc
keywords numericalsolutionsblackcodegravityholemodifiedanalytical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

  1. Spacetime of rotating black holes surrounded by massive scalar charges

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    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. Leading effective field theory corrections to the Kerr metric at all spins

    gr-qc 2025-12 unverdicted novelty 5.0

    Numerical solutions show that leading effective-field-theory corrections to the Kerr metric grow with spin and are largest near extremality.