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We study spherically symmetric black hole solutions with Skyrme hair in the Einstein-Skyrme theory with a negative cosmological constant. The dependence of the skyrmion field configuration on the cosmological constant is examined. The…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Noriko Shiiki , Nobuyuki Sawado

We consider Einstein gravity minimally coupled to two Maxwell fields and one (real) dilaton scalar. We study the electrically-charged spherically-symmetric and static solutions that are asymptotic to Minkowski spacetime. General solutions…

High Energy Physics - Theory · Physics 2025-11-11 Guan-Yi Lu , Meng-Nan Yang , H. Lu

In this work we construct a static and spherically symmetric black hole geometry supported by a family of generic mono-parametric sources thorough the Gravitational Decoupling. The parameter characterizing the matter sector can be…

General Relativity and Quantum Cosmology · Physics 2023-03-08 R. Avalos , P. Bargueño , E. Contreras

In this paper we examine the static perturbation of p-form field strengths around higher dimensional Schwarzschild spacetimes. As a result, we can see that the static perturbations do not exist when p\geq 3. This result supports the no-hair…

General Relativity and Quantum Cosmology · Physics 2011-04-22 Tetsuya Shiromizu , Seiju Ohashi , Kentaro Tanabe

Generalized vector-tensor theories of gravity have drawn attention for admitting hairy black hole solutions, thereby circumventing the standard no-hair theorems. It remains an open question, however, how such black holes may form starting…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Hsu-Wen Chiang , Sebastian Garcia-Saenz , Aofei Sang

We present analytical perturbative, and numerical solutions of the Einstein equation which describe a black hole with a nontrivial dilaton field and a purely topological gauge potential. The gauge potential has zero field strength and hence…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jennie Traschen , K. Z. Win

We obtain an exact static solution to Einstein-Power-Maxwell (EPM) theory in $(2+1)$ dimensional AdS spacetime, in which the scalar field couples to gravity in a non-minimal way. After considering the scalar potential, a stable system leads…

High Energy Physics - Theory · Physics 2018-04-12 Wei Xu , De-Cheng Zou

Most no-hair theorems involve the assumption that the scalar field is independent of time. Recently in [Phys. Rev. D90 (2014) 041501(R)] the existence of time-dependent scalar hair outside a stationary black hole in general relativity was…

General Relativity and Quantum Cosmology · Physics 2016-08-29 Yi Zhong , Bao-Min Gu , Shao-Wen Wei , Yu-Xiao Liu

It is well known that asymptotically flat black holes in general relativity have a vanishing static, conservative tidal response. We show that this is a result of linearly realized symmetries governing static (spin 0,1,2) perturbations…

High Energy Physics - Theory · Physics 2023-11-08 Lam Hui , Austin Joyce , Riccardo Penco , Luca Santoni , Adam R. Solomon

We study the existence of hairy black holes in the generalized Einstein-Skyrme model. It is proven that in the BPS model limit there are no hairy black hole solutions, although the model admits gravitating (and flat space) solitons.…

High Energy Physics - Theory · Physics 2016-09-20 C. Adam , O. Kichakova , Ya. Shnir , A. Wereszczynski

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

It is proved that spherically symmetric compact reflecting objects cannot support static bound-state configurations made of scalar fields whose self-interaction potential $V(\psi^2)$ is a monotonically increasing function of its argument.…

General Relativity and Quantum Cosmology · Physics 2017-04-27 Shahar Hod

I discuss a recent analytic proof of bypassing the no-hair conjecture for two interesting (and quite generic) cases of four-dimensional black holes: (i) black holes in Einstein-Yang-Mills-Higgs (EYMH) systems and (ii) black holes in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 N. E. Mavromatos

The "no hair" theorem, a key result in General Relativity, states that an isolated black hole is defined by only three parameters: mass, angular momentum, and electric charge; this asymptotic state is reached on a light-crossing time scale.…

High Energy Astrophysical Phenomena · Physics 2015-05-30 Maxim Lyutikov , Jonathan C. McKinney

We consider spacetimes solving the Einstein non-linear scalar field equations with T2-symmetry and show that they admit an areal time foliation in the expanding direction. In particular, we prove global existence and uniqueness of solutions…

General Relativity and Quantum Cosmology · Physics 2017-12-06 Katharina Radermacher

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

We construct a family of asymptotically flat, rotating black holes with scalar hair and a regular horizon, within five dimensional Einstein's gravity minimally coupled to a complex, massive scalar field doublet. These solutions are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Yves Brihaye , Carlos Herdeiro , Eugen Radu

We study regular and black hole solutions to the coupled classical Einstein--Yang-Mills--Higgs system. It has long been thought that black hole solutions in the spontaneously broken phase of such a theory could have no nontrivial field…

High Energy Physics - Theory · Physics 2009-10-22 Brian R. Greene , Samir D. Mathur , Christopher M. O'Neill

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

In this paper, we analyze the static solutions for the $U(1)^{4}$ consistent truncation of the maximally supersymmetric gauged supergravity in four dimensions. Using a new parametrization of the known solutions it is shown that for fixed…

High Energy Physics - Theory · Physics 2015-06-04 Andres Anabalon , Fabrizio Canfora , Alex Giacomini , Julio Oliva