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Three postulates asserting the validity of conventional quantum theory, semi-classical general relativity and the statistical basis for thermodynamics are introduced as a foundation for the study of black hole evolution. We explain how…

High Energy Physics - Theory · Physics 2009-10-07 L. Susskind , L. Thorlacius , J. Uglum

The no-short hair theorem for static spherically symmetric black holes in general theory of relativity asserts that if a black hole has hair, that hair must extend beyond the lowest photon sphere radius of the black hole. This report…

General Relativity and Quantum Cosmology · Physics 2026-01-06 Mandas Biswas

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

We show that in all theories in which black hole hair has been discovered, the region with non-trivial structure of the non-linear matter fields must extend beyond 3/2 the horizon radius, independently of all other parameters present in the…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Darío Núñez , Hernando Quevedo , Daniel Sudarsky

According to the no-hair theorem, static black holes are described by a Schwarzschild spacetime provided there are no other sources of the gravitational field. This requirement, however, is in astrophysical realistic scenarios often…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Norman Gürlebeck

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

After introducing the gravitational decoupling method and the hairy black hole recently derived from it, we investigate the formation of quantum hairy black holes by applying the horizon quantum mechanics formalism. It enables us to…

General Relativity and Quantum Cosmology · Physics 2023-01-03 R. T. Cavalcanti , J. M. Hoff da Silva

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

We investigate the possibility of having hairs on the cosmological horizon. The cosmological horizon shares similar properties of black hole horizons in the aspect of having hairs on the horizons. For those theories admitting haired black…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Rong-Gen Cai , Jeong-Young Ji

No-hair theorems are uniqueness results constraining the form of the metric of black holes in general relativity. These theorems are typically formulated under idealized assumptions, involving a mixture of local (regularity of the horizon)…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Carlos Barceló , Raúl Carballo-Rubio , Luis J. Garay , Gerardo García-Moreno

We analyze the quantum hair model proposed recently by Coleman, Preskill and Wilczek. We give arguments suggesting that the potential hair is expected to be destroyed by the instability of the black-hole. We also discuss the general…

High Energy Physics - Theory · Physics 2007-05-23 A. Casher , O. Pelc

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

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

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

We establish a no inner-horizon theorem for black holes with charged scalar hairs. Considering a general gravitational theory with a charged scalar field, we prove that there exists no inner Cauchy horizon for both spherical and planar…

General Relativity and Quantum Cosmology · Physics 2021-04-06 Rong-Gen Cai , Li Li , Run-Qiu Yang

The principle of horizon complementarity is an attempt to extend ideas about black hole complementarity to all horizons, including cosmological ones. The idea is that the degrees of freedom necessary to describe the interior of the cosmic…

High Energy Physics - Theory · Physics 2009-05-23 Brett McInnes

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

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

We summarize recent results on the properties of near-horizon metrics in different spherically symmetric space-times, including Kantowski-Sachs cosmological models whose evolution begins with a horizon (the so-called Null Big Bang) and…

General Relativity and Quantum Cosmology · Physics 2008-11-03 K. A. Bronnikov , E. Elizalde , O. B. Zaslavskii
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