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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

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

No-hair theorems in theories of gravity with a scalar field are briefly and critically reviewed. Their significance and limitations are discussed and potential evasions are considered.

General Relativity and Quantum Cosmology · Physics 2015-10-21 Thomas P. Sotiriou

It is shown that the only static asymptotically flat non-extrema black hole solution of the Einstein-conformally invariant scalar field equations having the scalar field bounded on the horizon, is the Schwarzschild one. Thus black holes…

General Relativity and Quantum Cosmology · Physics 2014-11-17 T. Zannias

We provide strong numerical evidence for a new no-scalar-hair theorem for black holes in general relativity, which rules out spherical scalar hair of static four dimensional black holes if the scalar field theory, when coupled to gravity,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Hertog

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

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

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

In shift-symmetric Horndeski theories, a static and spherically symmetric black hole can support linearly time-dependent scalar hair. However, it was shown that such a solution generically suffers from ghost or gradient instability in the…

General Relativity and Quantum Cosmology · Physics 2017-08-22 Daria A. Tretyakova , Kazufumi Takahashi

The no-scalar-hair conjecture rules out the existence of asymptotically flat black holes with a scalar dressing for a large class of theories. No-scalar-hair theorems have been proved for the cases of neutral black holes and for charged…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Ivan Zh. Stefanov , Stoytcho S. Yazadjiev , Michail D. Todorov

Black holes in certain modified gravity theories that contain a scalar field coupled to curvature invariants are known to possess (monopole) scalar hair while non-black-hole spacetimes (like neutron stars) do not. Therefore, as a neutron…

General Relativity and Quantum Cosmology · Physics 2022-04-05 Abhishek Hegade K. R. , Elias R. Most , Jorge Noronha , Helvi Witek , Nicolas Yunes

The recently proved `no short hair' theorem asserts that, if a spherically-symmetric static black hole has hair, then this hair (the external fields) must extend beyond the null circular geodesic (the "photonsphere") of the corresponding…

General Relativity and Quantum Cosmology · Physics 2017-07-26 Shahar Hod

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

There exist well-known no-hair theorems forbidding the existence of hairy black hole solutions in general relativity coupled to a scalar conformal field theory in asymptotically flat space. Even in the presence of cosmological constant,…

High Energy Physics - Theory · Physics 2014-05-28 Gaston Giribet , Matias Leoni , Julio Oliva , Sourya Ray

The elegant `no short hair' theorem states that, if a spherically-symmetric static black hole has hair, then this hair must extend beyond 3/2 the horizon radius. In the present paper we provide evidence for the failure of this theorem…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Shahar Hod

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

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 provide a remarkably compact proof that spherically symmetric neutral black holes cannot support static nonminimally coupled massless scalar fields. The theorem is based on causality restrictions imposed on the energy-momentum tensor of…

General Relativity and Quantum Cosmology · Physics 2019-11-27 Shahar Hod

We study influence of scalar fields on Nonlinear Electrodynamics spacetimes. The investigation is carried out using both test and gravitating scalar fields. After revisiting Einstein-Maxwell scalar field solutions we focus on analytic…

General Relativity and Quantum Cosmology · Physics 2020-06-15 T. Tahamtan

If a black hole has hair, how short can this hair be? A partial answer to this intriguing question was recently provided by the 'no-short hair' theorem which asserts that the external fields of a spherically-symmetric electrically neutral…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Shahar Hod