A new approach and code for spinning black holes in modified gravity

Abstract

We discuss and implement a spectral method approach to computing stationary and axisymmetric black hole solutions and their properties in modified theories of gravity. The resulting code is written in the Julia language and is transparent and easily adapted to new settings. We test the code on both general relativity and on Einstein-Scalar-Gauss-Bonnet gravity. It is accurate and fast, converging on a spinning solution in these theories with tiny errors ($\sim \mathcal{O}\left(10^{-13}\right)$ in most cases) in a matter of seconds.

40 pages, 14 figures. GitHub repository: https://github.com/pgsfernandes/SpinningBlackHoles.jl ; v2: added references, accepted for publication in Classical and Quantum Gravity

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Cited by in corpus (10)

• Spinning Black Holes with Axion Hair
• Rotating black holes in semiclassical gravity
• Nonlinearly scalarized rotating black holes in Einstein-scalar-Gauss-Bonnet theory
• Shadows and Properties of Spin-Induced Scalarized Black Holes with and without a Ricci Coupling
• Breaking black-hole uniqueness at supermassive scales
• Rotating scalarized supermassive black holes
• Purely metric Horndeski theories and spontaneous curvaturization of black holes
• Rotating scalarized black holes: the role of the coupling
• Spontaneous Vectorization in the Einstein-Maxwell-Vector Model
• Spin-Induced Nonlinear Scalarization of Kerr Black Holes in Einstein-scalar-Gauss-Bonnet Gravity