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arXiv · 2009.10614

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

Andrew Sullivan·Nicolás Yunes·Thomas P. Sotiriou
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Abstract

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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Andrew Sullivan, Nicolás Yunes, Thomas P. Sotiriou. 2020-09-22. Numerical Black Hole Solutions in Modified Gravity Theories: Axial Symmetry Case. https://doi.org/10.1103/physrevd.103.124058

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