Numerical black hole solutions in modified gravity theories: Axial symmetry case

Sullivan, Andrew; Yunes, Nicolás; Sotiriou, Thomas P.

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.

Citation

Sullivan, A., Yunes, N., & Sotiriou, T. P. (2021). Numerical black hole solutions in modified gravity theories: Axial symmetry case. Physical Review D, 103(12), 1-16. https://doi.org/10.1103/physrevd.103.124058

• Journal Article Type: Article
• Acceptance Date: Jun 1, 2021
• Online Publication Date: Jun 25, 2021
• Publication Date: Jun 15, 2021
• Deposit Date: Jul 14, 2021
• Publicly Available Date: Jul 26, 2021
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 103
• Issue: 12
• Article Number: 124058
• Pages: 1-16
• DOI: https://doi.org/10.1103/physrevd.103.124058
• Public URL: https://nottingham-repository.worktribe.com/output/5784869
• Publisher URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.103.124058