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Black hole solutions can be used to shed light on general issues in General Relativity and Quantum Physics. Black--hole hair, entropy and naked singularities are considered here, along with some implications for the inflationary universe…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ian G. Moss

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

The evidence for supermassive Kerr black holes in galactic centers is strong and growing, but only the detection of gravitational waves will convincingly rule out other possibilities to explain the observations. The Kerr spacetime is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Emanuele Berti , Vitor Cardoso

The theory of f(R)-gravity is one of the theories of modified Einstein gravity. The vacuum solution, on the other hand, of the field equation is the solution for black hole geometry. We establish here an asymptotically flat rotating black…

General Relativity and Quantum Cosmology · Physics 2022-11-07 Arghya Ranjan Das , Banibrata Mukhopadhyay

We establish various general results concerning static and spherically symmetric black hole solutions of general higher-derivative extensions of Einstein gravity. We prove that the only theories susceptible of admitting solutions with…

High Energy Physics - Theory · Physics 2017-08-16 Pablo Bueno , Pablo A. Cano

Explaining the late time acceleration is one of the most challenging tasks for theoretical physicists today. Infra-red modification of Einstein's general theory of relativity (GR) is a possible route to model late time acceleration. In this…

General Relativity and Quantum Cosmology · Physics 2020-05-08 Mostafizur Rahman , Anjan A. Sen

We find a class of asymptotically flat slowly rotating charged black hole solutions of Einstein-Maxwell-dilaton theory with arbitrary dilaton coupling constant in higher dimensions. Our solution is the correct one generalizing the…

High Energy Physics - Theory · Physics 2008-11-26 A. Sheykhi , M. Allahverdizadeh , Y. Bahrampour , M. Rahnama

We revisit static, spherically symmetric solutions to AdS-Einstein gravity with a conformally coupled scalar field (and no self-interaction potential) in four dimensions. We first observe that a convenient choice of coordinates leads to a…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Marcello Ortaggio

We study black holes in the recently proposed ghost-free theory with two gravitons, one of which is massive and another is massless. These black holes possess a regular event horizon which is common for both metrics and has the same values…

High Energy Physics - Theory · Physics 2013-05-30 Mikhail S. Volkov

Stationary, asymptotically flat black holes in scalar-tensor theories of gravity are studied. It is shown that such black holes have no scalar hair and are the same as in General Relativity.

General Relativity and Quantum Cosmology · Physics 2013-03-05 Valerio Faraoni , Thomas P. Sotiriou

Considerable attention has recently focused on gravity theories obtained by extending general relativity with additional scalar, vector, or tensor degrees of freedom. In this paper, we show that the black-hole solutions of these theories…

Astrophysics · Physics 2008-11-26 Dimitrios Psaltis , Delphine Perrodin , Keith R. Dienes , Irina Mocioiu

We prove that the only four dimensional, stationary, rotating, asymptotically flat (analytic) vacuum black hole with a single degenerate horizon is given by the extremal Kerr solution. We also prove a similar uniqueness theorem for the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Aaron J. Amsel , Gary T. Horowitz , Donald Marolf , Matthew M. Roberts

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

Scalar fields coupled to three-dimensional gravity are considered. We uncover a scaling symmetry present in the black hole reduced action, and use it to prove a Smarr formula valid for any potential. We also prove that non-rotating hairy…

High Energy Physics - Theory · Physics 2013-05-29 Maximo Banados , Stefan Theisen

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

Within a framework requiring a well-defined event horizon and matter obeying the weak energy condition, we employ gravitational decoupling method to construct non-singular hairy black holes: spherically or axially symmetric. These solutions…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Yaobin Hua , Zhenglong Ban , Tian-You Ren , Jia-Jun Yin , Rong-Jia Yang

Dynamical, non-asymptotically flat black holes are best characterized by their apparent horizons. Cosmological black hole solutions of General Relativity exhibit two types of apparent horizon behaviours which, thus far, appeared to be…

General Relativity and Quantum Cosmology · Physics 2015-11-25 Valerio Faraoni , Angus Prain

The Einstein-Gauss-Bonnet gravity in five dimensions is extended by scalar fields and the corresponding equations are reduced to a system of non-linear differential equations. A large family of regular solutions of these equations is shown…

General Relativity and Quantum Cosmology · Physics 2016-06-15 Y. Brihaye , L. Ducobu

The most general spherically symmetric solution with zero shift is found in the non-projectable Horava-Lifshitz class of theories with general coupling constants. It contains as special cases, spherically symmetric solutions found by other…

High Energy Physics - Theory · Physics 2015-05-14 Elias Kiritsis , Georgios Kofinas

According to the no-hair theorem, astrophysical black holes are uniquely characterized by their masses and spins and are described by the Kerr metric. Several parametric deviations from the Kerr metric have been suggested to study…

General Relativity and Quantum Cosmology · Physics 2011-06-24 Tim Johannsen , Dimitrios Psaltis