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A linear coupling between a scalar field and the Gauss-Bonnet invariant is the only known interaction term between a scalar and the metric that: respects shift symmetry; does not lead to higher order equations; inevitably introduces black…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Robert Benkel , Thomas P. Sotiriou , Helvi Witek

We show that a black hole surrounded by scalar dark matter develops scalar hair. This is the generalization of a phenomenon pointed out by Jacobson, that a minimally coupled scalar with a non-trivial time dependence far away from the black…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Lam Hui , Daniel Kabat , Xinyu Li , Luca Santoni , Sam S. C. Wong

We investigate the superhorizon behavior of scalar hair sourced by black holes in de Sitter spacetime in the linearly coupled shift-symmetric scalar-Gauss-Bonnet theory. Working in the test-field regime, we show that this hair exhibits both…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Dražen Glavan , Darío Jaramillo-Garrido

Through numerical simulations of a minimally coupled massive Klein-Gordon scalar field, we show that it is possible to grow hair on a Schwarzschild black hole if one assumes an initial periodically time-varying but spatially homogeneous…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Katy Clough , Pedro G. Ferreira , Macarena Lagos

We study the dynamical formation of scalar monopole and dipole hair in scalar Gauss-Bonnet theory and dynamical Chern-Simons theory. We prove that the spherically-symmetric mode of the dipole hair is completely determined by the product of…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Abhishek Hegade K R , Elias R. Most , Jorge Noronha , Helvi Witek , Nicolás Yunes

Scalar fields coupled to the Gauss-Bonnet invariant evade the known no-hair theorems and have nontrivial configurations around black holes. We focus on a scalar field that couples linearly to the Gauss-Bonnet invariant and hence exhibits…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Robert Benkel , Thomas P. Sotiriou , Helvi Witek

We study dynamic processes through which the scalar hair of black holes is generated or detached in a theory with a scalar field non-minimally coupled to Gauss-Bonnet and Ricci scalar invariants. We concentrate on the nonlinear temporal…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Yunqi Liu , Cheng-Yong Zhang , Wei-Liang Qian , Kai Lin , Bin Wang

We study the nonlinear dynamics of black holes that carry scalar hair and binaries composed of such black holes. The scalar hair is due to a linear or exponential coupling between the scalar and the Gauss--Bonnet invariant. We work…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Helvi Witek , Leonardo Gualtieri , Paolo Pani , Thomas P. Sotiriou

We study spherical collapse of a scalar cloud in scalar-Gauss-Bonnet gravity - a theory in which black holes can develop scalar hair if they are in a certain mass range. We show that an additional quadratic coupling of the scalar field to…

General Relativity and Quantum Cosmology · Physics 2023-06-05 Farid Thaalba , Miguel Bezares , Nicola Franchini , Thomas P. Sotiriou

An old result ({\tt astro-ph/9905303}) by Jacobson implies that a black hole with Schwarzschild radius $r_s$ acquires scalar hair, $Q \propto r_s^2 \mu$, when the (canonically normalized) scalar field in question is slowly time-dependent…

General Relativity and Quantum Cosmology · Physics 2015-06-03 M. W. Horbatsch , C. P. Burgess

We show how to correctly account for scalar accretion onto black holes in scalar field models of dark energy by a consistent expansion in terms of a slow roll parameter. We find an exact solution for the scalar field within our Hubble…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Sarah Chadburn , Ruth Gregory

Any recipe to grow black hole hair has to circumvent no-hair theorems by violating some of their assumptions. Recently discovered hairy black hole solutions exist due to the fact that their scalar fields don't inherit the symmetries of the…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Ivica Smolić

By using the Taylor series method and the solution-generating method, we construct exact black hole solutions with minimally coupled scalar field. We find that the black hole solutions can have many hairs except for the physical mass. These…

General Relativity and Quantum Cosmology · Physics 2022-12-13 Changjun Gao , Jianhui Qiu

Spontaneous scalarization of black holes in scalar-Gauss-Bonnet (sGB) gravity is a very interesting phenomenon allowing black holes to circumvent the no-hair theorem and acquire scalar hair while leaving the weak field regime of the theory…

General Relativity and Quantum Cosmology · Physics 2022-06-15 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Jutta Kunz , Stoytcho S. Yazadjiev

Scalar-tensor theories are a compelling alternative to general relativity and one of the most accepted extensions of Einstein's theory. Black holes in these theories have no hair, but could grow "wigs" supported by time-dependent boundary…

General Relativity and Quantum Cosmology · Physics 2013-06-26 Emanuele Berti , Vitor Cardoso , Leonardo Gualtieri , Michael Horbatsch , Ulrich Sperhake

The most general action for a scalar field coupled to gravity that leads to second order field equations for both the metric and the scalar --- Horndeski's theory --- is considered, with the extra assumption that the scalar satisfies shift…

General Relativity and Quantum Cosmology · Physics 2014-08-13 Thomas P. Sotiriou , Shuang-Yong Zhou

Static black holes in general relativity modified by a linear scalar coupling to the Gauss-Bonnet invariant always carry hair. We show that the same mechanism that creates the hair makes it incompatible with a cosmological horizon. Other…

General Relativity and Quantum Cosmology · Physics 2025-02-14 Eugeny Babichev , Ignacy Sawicki , Leonardo G. Trombetta

The scalarization is a very interesting phenomena allowing to endow a compact object with scalar hair while leaving all the predictions in the weak field limit unaltered. In Gauss-Bonnet gravity the source of the scalar field can be the…

General Relativity and Quantum Cosmology · Physics 2020-11-18 Daniela D. Doneva , Lucas G. Collodel , Christian J. Krüger , Stoytcho S. Yazadjiev

Black holes have a unique sensitivity to the presence of ultralight matter fields or modifications of the underlying theory of gravity. In the present paper we combine both features by studying an ultralight, dynamical scalar field that is…

General Relativity and Quantum Cosmology · Physics 2023-05-16 Chloe Richards , Alexandru Dima , Helvi Witek

We investigate the possibility of dressing a four-dimensional black hole with classical scalar field hair which is non-minimally coupled to the space-time curvature. Our model includes a cosmological constant but no self-interaction…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Elizabeth Winstanley
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