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According to the no-hair theorem, an astrophysical black hole is uniquely described by only two quantities, the mass and the spin. In this series of papers, we investigate a framework for testing the no-hair theorem with observations of…

High Energy Astrophysical Phenomena · Physics 2015-05-18 Tim Johannsen , Dimitrios Psaltis

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

As an alternative to the "no hair conjecture," the "no short hair conjecture" for hairy black holes was established earlier. This theorem stipulates that hair must be present above 3/2 of the event horizon radius for a hairy black hole. It…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Pabitra Tripathy

In four-dimensional vacuum general relativity the only known static, exact and analytical black hole solution is given by the Schwarzschild spacetime. In this paper this renowned metric is generalised by adding another integrating constant,…

General Relativity and Quantum Cosmology · Physics 2026-01-26 Marco Astorino

Black holes are said to have no hair because all of their multipole moments can be expressed in terms of just their mass, charge and spin angular momentum. The recent discovery of approximately equation-of-state-independent relations among…

General Relativity and Quantum Cosmology · Physics 2014-09-25 Kent Yagi , Leo C. Stein , George Pappas , Nicolas Yunes , Theocharis A. Apostolatos

According to the no-hair theorem, astrophysical black holes are uniquely described by their mass and spin. In this paper, we review a new framework for testing the no-hair hypothesis with observations in the electromagnetic spectrum. The…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Tim Johannsen , Dimitrios Psaltis

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

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

A new class of vacuum black holes for the most general gravity theory leading to second order field equations in the metric in even dimensions is presented. These space-times are locally AdS in the asymptotic region, and are characterized…

High Energy Physics - Theory · Physics 2015-05-30 Andres Anabalon , Fabrizio Canfora , Alex Giacomini , Julio Oliva

Black holes with hair represented by generic fields surrounding the central source of the vacuum Schwarzschild metric are examined under the minimal set of requirements consisting of i) the existence of a well defined event horizon and ii)…

General Relativity and Quantum Cosmology · Physics 2020-11-17 J. Ovalle , R. Casadio , E. Contreras , A. Sotomayor

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

We study hair mass distributions in noncommutative Einstein-Born-Infeld hairy black holes with non-zero cosmological constants. We find that the larger noncommutative parameter makes the hair easier to condense in the near horizon area. We…

General Relativity and Quantum Cosmology · Physics 2019-02-25 Yan Peng

The black hole no-hair theorem is traditionally derived from the uniqueness theorems of general relativity. We show that a quantitative form follows from unitarity together with the standard semiclassical assumptions of horizon causality…

Quantum Physics · Physics 2026-05-01 Sudhanva Joshi , Sunil Kumar Mishra

In a recent paper Ca\~nate (CQG, {\bf 35}, 025018 (2018)) proved a no hair theorem to static and spherically symmetric or stationary axisymmetric black holes in general $f(R)$ gravity. The theorem applies for isolated asymptotically flat or…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Joseph Sultana , Demosthenes Kazanas

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

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

Recently, one of my articles presented intriguing findings on the superradiant stability of Kerr black holes. These findings drew conclusions that appear to challenge the established ``No Hair Theorem". As is widely known, the ``No Hair…

General Physics · Physics 2023-08-29 Wen-Xiang Chen , Yao-Guang Zheng

The Kerr spacetime of spinning black holes is one of the most intriguing predictions of Einstein's theory of general relativity. The special role this spacetime plays in the theory of gravity is encapsulated in the no-hair theorem, which…

High Energy Astrophysical Phenomena · Physics 2009-12-02 Dimitrios Psaltis , Tim Johannsen

The black hole no-short hair theorem establishes a universal lower bound on the extension of hairs outside any 4-dimensional spherically symmetric black hole solutions. We generalise this theorem beyond spherical symmetry, specifically for…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Soham Acharya , Sudipta Sarkar

We show that the integral method used to prove the no-hair theorem for Black Holes (BH's) in spherically symmetric and static spacetimes within the framework of general relativity with matter composed by a complex-valued scalar-field does…

General Relativity and Quantum Cosmology · Physics 2019-02-27 Gustavo Garcia , Marcelo Salgado