Massive scalar clouds and black hole spacetimes in Gauss-Bonnet gravity

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Hauptverfasser: van Gemeren, Iris, Hinderer, Tanja, Vandoren, Stefan
Format: Preprint
Veröffentlicht: 2024
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author van Gemeren, Iris
Hinderer, Tanja
Vandoren, Stefan
author_facet van Gemeren, Iris
Hinderer, Tanja
Vandoren, Stefan
contents We study static black holes in scalar-Gauss-Bonnet (sGB) gravity with a massive scalar field as an example of higher curvature gravity. The scalar mass introduces an additional scale and leads to a strong suppression of the scalar field beyond its Compton wavelength. We numerically compute sGB black hole spacetimes and scalar configurations and also compare with perturbative results for small couplings, where we focus on a dilatonic coupling function. We analyze the constraints on the parameters from requiring the curvature singularity to be located inside the black hole horizon $r_h$ and the relation to the regularity condition for the scalar field. For scalar field masses $m r_h \gtrsim 10^{-1}$, this leads to a new and currently most stringent bound on sGB coupling constant $α$ of $α/r_h^2 \sim 10^{-1}$ in the context of stellar mass black holes. Lastly, we look at several properties of the black hole configurations relevant for further work on observational consequences, including the scalar monopole charge, Arnowitt Deser Misner mass, curvature invariants and the frequencies of the innermost stable circular orbit and light ring.
format Preprint
id arxiv_https___arxiv_org_abs_2405_13737
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Massive scalar clouds and black hole spacetimes in Gauss-Bonnet gravity
van Gemeren, Iris
Hinderer, Tanja
Vandoren, Stefan
General Relativity and Quantum Cosmology
High Energy Physics - Theory
We study static black holes in scalar-Gauss-Bonnet (sGB) gravity with a massive scalar field as an example of higher curvature gravity. The scalar mass introduces an additional scale and leads to a strong suppression of the scalar field beyond its Compton wavelength. We numerically compute sGB black hole spacetimes and scalar configurations and also compare with perturbative results for small couplings, where we focus on a dilatonic coupling function. We analyze the constraints on the parameters from requiring the curvature singularity to be located inside the black hole horizon $r_h$ and the relation to the regularity condition for the scalar field. For scalar field masses $m r_h \gtrsim 10^{-1}$, this leads to a new and currently most stringent bound on sGB coupling constant $α$ of $α/r_h^2 \sim 10^{-1}$ in the context of stellar mass black holes. Lastly, we look at several properties of the black hole configurations relevant for further work on observational consequences, including the scalar monopole charge, Arnowitt Deser Misner mass, curvature invariants and the frequencies of the innermost stable circular orbit and light ring.
title Massive scalar clouds and black hole spacetimes in Gauss-Bonnet gravity
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2405.13737