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We examine the thermodynamic stability of large black holes in four-dimensional anti-de Sitter space, and we demonstrate numerically that black holes which lack local thermodynamic stability often also lack stability against small…

High Energy Physics - Theory · Physics 2009-10-31 Steven S. Gubser , Indrajit Mitra

We analyze in detail the geometry and dynamics of the cosmological region arising in spherically symmetric black hole solutions of the Einstein-Maxwell-scalar field system with a positive cosmological constant. More precisely, we solve, for…

General Relativity and Quantum Cosmology · Physics 2019-09-05 João L. Costa , José Natário , Pedro Oliveira

We discuss a phase transition of a Reissner-Nordstr\"om black hole to a hairy black hole in asymptotically flat spacetime. The hair is due to a massive charged scalar field. The no-hair theorem is evaded thanks to a derivative coupling of…

High Energy Physics - Theory · Physics 2015-06-17 Theodoros Kolyvaris , George Koutsoumbas , Eleftherios Papantonopoulos , George Siopsis

Several hairy black hole solutions are known to violate the original version of the celebrated no-hair conjecture. This prompted the development of a new theorem that establishes a universal lower bound on the extension of hairs outside any…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Rajes Ghosh , Selim Sk , Sudipta Sarkar

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

We show that the no-hair theorem for scalar-tensor theories with bi-metric structure can be evaded. We find that hairy black hole solutions in the presence of an electric charge admit AdS, flat or dS asymptotics with spherical, flat, or…

General Relativity and Quantum Cosmology · Physics 2021-07-21 Cristian Erices , Pantelis Filis , Eleftherios Papantonopoulos

In a recent paper, Hod started a study on no scalar hair theorem for asymptotically flat spherically symmetric neutral horizonless reflecting compact stars. In fact, Hod's approach only rules out massive scalar fields. In the present paper,…

General Relativity and Quantum Cosmology · Physics 2019-10-21 Yan Peng

In this work we construct and analyse non-perturbative stationary and axially-symmetric black hole solutions in General Relativity coupled to an electromagnetic and an axion field. The axion field is coupled to the electromagnetic field,…

General Relativity and Quantum Cosmology · Physics 2024-02-14 Clare Burrage , Pedro G. S. Fernandes , Richard Brito , Vitor Cardoso

The simplicity of black holes, as characterized by no-hair theorems, is one of the most important mathematical results in the framework of general relativity. Are these theorems unique to black hole spacetimes, or do they also constrain the…

General Relativity and Quantum Cosmology · Physics 2019-06-20 Carlos Barceló , Raúl Carballo-Rubio , Stefano Liberati

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

Recently introduced classical theory of gravity in non-commutative geometry is studied. The most general (four parametric) family of $D$ dibensional static spherically symmetric spacetimes is identified and its properties are studied in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 C. Klimcik , P. Kolnik , A. Pompos

In the light of recent blackhole solutions inspired by string theory, we review some old statements on field theoretic hair on blackholes. We also discuss some stability issues. In particular we argue that the two dimensional string…

High Energy Physics - Theory · Physics 2009-10-22 S. P. de Alwis

The properties of hairy black holes in Einstein-Yang-Mills (EYM) theory are reviewed, focusing on spherically symmetric solutions. In particular, in asymptotically anti-de Sitter space (adS) stable black hole hair is known to exist for…

General Relativity and Quantum Cosmology · Physics 2009-01-28 Elizabeth Winstanley

Recent no-hair theorems have revealed the intriguing fact that horizonless stars with compact reflecting surfaces {\it cannot} support non-linear matter configurations made of scalar, vector, and tensor fields. In the present paper we…

General Relativity and Quantum Cosmology · Physics 2020-05-13 Shahar Hod

We study the possibility of occurrence of scalar hair with a non-canonical kinetic term for a static, spherically symmetric asymptotically flat black hole spacetime. We first obtain a general equation for this purpose and then consider…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marcin Jankiewicz , Anjan A. Sen

We construct finite mass, asymptotically flat black hole solutions in d=4 Einstein-Yang-Mills theory augmented with higher order curvature terms of the gauge field. They possess non-Abelian hair in addition to Coulomb electric charge, and,…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Eugen Radu , D. H. Tchrakian

For a distorted black hole (BH), its ringdown waveform is a superposition of quasi-normal modes (QNMs). In general relativity (GR), the lower order QNM frequencies and damping rates can be well approximated by a polynomial of BH's…

General Relativity and Quantum Cosmology · Physics 2022-02-23 Ke Wang

A numerical analysis shows that a class of scalar-tensor theories of gravity with a scalar field minimally and nonminimally coupled to the curvature allows static and spherically symmetric black hole solutions with scalar-field hair in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ulises Nucamendi , Marcelo Salgado

In these lectures the properties of magnetically charged black holes are described. In addition to the standard Reissner-N\"ordstrom solution, there are new types of static black holes that arise in theories containing electrically charged…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Erick J. Weinberg

Despite the no-hair theorem, several notable hairy black hole (BH) solutions exist in both General Relativity and modified gravity theories. For such hairs to be detectable, they must extend sufficiently beyond the event horizon. This idea…

General Relativity and Quantum Cosmology · Physics 2025-02-11 Rajes Ghosh , Chiranjeeb Singha