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In a recent Letter we have shown that in shift-symmetric Horndeski theory the scalar field is forced to obtain a nontrivial configuration in black hole spacetimes, unless a linear coupling with the Gauss-Bonnet invariant is tuned away. As a…

General Relativity and Quantum Cosmology · Physics 2016-02-12 Thomas P. Sotiriou , Shuang-Yong Zhou

Scalar-tensor theories are a natural alternative to general relativity, as they may provide an effective dark energy phenomenology on cosmological scales while passing local tests, but their black hole solutions are still poorly understood.…

General Relativity and Quantum Cosmology · Physics 2023-10-11 Lodovico Capuano , Luca Santoni , Enrico Barausse

No-hair theorems for scalar-tensor theories imply that the trivial scalar field configuration is the unique configuration around stationary black hole spacetimes. The most basic assumption in these theorems is that a constant scalar…

General Relativity and Quantum Cosmology · Physics 2019-06-12 Mehdi Saravani , Thomas P. Sotiriou

We present explicit black holes endowed with primary scalar hair within the shift-symmetric subclass of Beyond Horndeski theories. These solutions depend, in addition to the conventional mass parameter, on a second free parameter encoding…

General Relativity and Quantum Cosmology · Physics 2024-02-02 Athanasios Bakopoulos , Christos Charmousis , Panagiota Kanti , Nicolas Lecoeur , Theodoros Nakas

Originally regarded as forbidden, black hole ``hair'' are fields associated with a stationary black hole apart from the gravitational and electromagnetic ones. Several stable stationary black hole solutions with gauge or Skyrme field hair…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

General Relativity allows for a unique black hole solution, characterized by its mass M, angular momentum J, and electric charge Q. Black holes in General Relativity are thus said to have no hair, that is, no other independent physical…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Nicolas Lecoeur

Recently it was pointed out that in shift-symmetric scalar-tensor theories a black hole can have nontrivial scalar hair which depends linearly on time. We develop black hole perturbation theory for such solutions and compute the quadratic…

General Relativity and Quantum Cosmology · Physics 2016-09-13 Hiromu Ogawa , Tsutomu Kobayashi , Teruaki Suyama

Scalar hair of black holes in theories with a shift symmetry are constrained by the no-hair theorem of Hui and Nicolis, assuming spherical symmetry, time-independence of the scalar field and asymptotic flatness. The most studied…

High Energy Physics - Theory · Physics 2020-08-12 Paolo Creminelli , Nicolás Loayza , Francesco Serra , Enrico Trincherini , Leonardo G. Trombetta

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

Black holes play a crucial role in the understanding of the gravitational interaction. Through the direct observation of the shadow of a black hole by the event horizon telescope and the detection of gravitational waves of merging black…

General Relativity and Quantum Cosmology · Physics 2022-04-19 Sebastian Bahamonde , Ludovic Ducobu , Christian Pfeifer

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

The detection of black hole scalar hair, a possible deviation from general relativity's "no-hair" theorem, requires sensitive probes beyond conventional methods. This study proposes chaotic dynamics as a novel indicator for scalar hair in…

General Relativity and Quantum Cosmology · Physics 2026-02-09 Yang Yu , Ruo-Ting Chen , Shulan Li , Dan Zhang , Jian-Pin Wu

Shift-symmetric Horndeski theories admit an interesting class of Schwarzschild black hole solutions exhibiting time-dependent scalar hair. By making use of Lema\^{i}tre coordinates, we analyze perturbations around these types of black…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-09 Justin Khoury , Mark Trodden , Sam S. C. Wong

The vector-tensor Horndeski theory is supplemented by a real, massless scalar field non-minimally coupled to the Horndeski interaction term. The generic dyonic Reissner-Nordstrom solutions characterized by electric and magnetic charges,…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Y. Brihaye , Y. Verbin

The Einstein-Gauss-Bonnet gravity in five dimensions is extended by scalar fields and the corresponding equations are reduced to a system of non-linear differential equations. A large family of regular solutions of these equations is shown…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Y. Brihaye , L. Ducobu

In the present review, we consider the status of the classification of the vacuum, stationary and asymptotically flat black holes in scalar-tensor gravity. Contrary to the similar problem in general relativity, the black hole classification…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Stoytcho Yazadjiev , Daniela Doneva

We prove three theorems in general relativity which rule out classical scalar hair of static, spherically symmetric, possibly electrically charged black holes. We first generalize Bekenstein's no--hair theorem for a multiplet of minimally…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Avraham E. Mayo , Jacob D. Bekenstein

In the realm of spacetimes governed by Einstein's general relativity and containing only Maxwell's electromagnetic field, stationary black holes are fully characterized by their mass, electric or magnetic charge, and angular momentum -- a…

General Relativity and Quantum Cosmology · Physics 2024-10-18 Romain Gervalle

We show that scalar hair can be added to rotating, vacuum black holes of general relativity. These hairy black holes (HBHs) clarify a lingering question concerning gravitational solitons: if a black hole can be added at the centre of a…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Carlos A. R. Herdeiro , Eugen Radu

No-hair theorems exclude the existence of nontrivial scalar and massive vector hair outside four-dimensional, static, asymptotically flat black-hole spacetimes. We show, by explicitly building nonlinear solutions, that black holes can…

General Relativity and Quantum Cosmology · Physics 2013-09-09 Richard Brito , Vitor Cardoso , Paolo Pani
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