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Solutions-generating methods based on field redefinitions, such as conformal mapping, play an important role in investigating exact solutions in modified gravity. In this work, we explore the possibility to use disformal field redefinitions…

General Relativity and Quantum Cosmology · Physics 2020-03-04 Jibril Ben Achour , Hongguang Liu , Shinji Mukohyama

We study how quasinormal-mode frequencies may encode information about the effective matter source responsible for black-hole hair. Using the established eikonal correspondence between quasinormal modes and unstable null geodesics, we…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Ariadna Uxue Palomino Ylla , Kosuke Makino , Akane Tanaka , Akihiro Ishibashi , Chul-Moon Yoo

This is a brief survey of the known black hole solutions in the theories of ghost-free bigravity and massive gravity. Various black holes exist in these theories, in particular those supporting a massive graviton hair. However, it seems…

High Energy Physics - Theory · Physics 2015-06-19 Mikhail S. Volkov

Recently, various families of black holes (BHs) with synchronised hair have been constructed. These are rotating BHs surrounded, as fully non-linear solutions of the appropriate Einstein-matter model, by a non-trivial bosonic field in…

General Relativity and Quantum Cosmology · Physics 2018-02-14 Carlos Herdeiro , Jutta Kunz , Eugen Radu , Bintoro Subagyo

We consider the $\mathrm{O}(3)$ non-linear sigma-model, composed of three real scalar fields with a standard kinetic term and with a symmetry breaking potential in four spacetime dimensions. We show that this simple, geometrically motivated…

General Relativity and Quantum Cosmology · Physics 2019-05-02 C. Herdeiro , I. Perapechka , E. Radu , Ya. Shnir

I discuss the no hair principle, the recently found hairy solutions, generic properties of nonvacuum spherical static black holes, and the new no scalar hair theorems. I go into the generic phenomenon of superradiance, first uniform linear…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jacob D. Bekenstein

Properties of the horizon mass of hairy black holes are discussed with emphasis on certain subtle and initially unexpected features. A key property suggests that hairy black holes may be regarded as `bound states' of ordinary black holes…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Abhay Ashtekar , Alejandro Corichi , Daniel Sudarsky

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

We study a simple theory based on general relativity, minimally coupled to a constrained scalar triplet and to an auxiliary non-propagating three-form sector. Within a spherically symmetric hedgehog ansatz, the theory admits a continuous…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Sebastian Bahamonde

Black holes in General Relativity are famously characterized by two "hairs" only, the mass and the spin of the Kerr spacetime. Theories extending General Relativity, however, allow in principle for additional black hole charges, which will…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Kallol Dey , Enrico Barausse , Soumen Basak

We develop a new technique for finding black hole solutions in modified gravity that have "stealth" hair, i.e., hair whose only gravitational effect is to tune the cosmological constant. We consider scalar-tensor theories in which…

High Energy Physics - Theory · Physics 2019-10-16 Christos Charmousis , Marco Crisostomi , Ruth Gregory , Nikolaos Stergioulas

As incarnations of gravity in its prime, black holes are arguably the best target for us to demystify gravity. Keeping in mind the prominent role black holes play in gravitational wave astronomy, it becomes a must for a theory to possess…

General Relativity and Quantum Cosmology · Physics 2023-02-08 Reginald Christian Bernardo , Che-Yu Chen

The behavior of hairy black hole solutions, obtained by the gravitational decoupling (GD) method, is investigated under scalar perturbations. The quasinormal mode frequencies of such solutions are regulated by GD hair. The numerically…

General Relativity and Quantum Cosmology · Physics 2022-10-31 R. T. Cavalcanti , R. C. de Paiva , R. da Rocha

We study the linear perturbations about nonrotating black holes in the context of degenerate higher-order scalar-tensor (DHOST) theories, using a systematic approach that extracts the asymptotic behaviour of perturbations (at spatial…

General Relativity and Quantum Cosmology · Physics 2021-12-15 David Langlois , Karim Noui , Hugo Roussille

Spontaneous scalarization of black holes in scalar-Gauss-Bonnet (sGB) gravity is a very interesting phenomenon allowing black holes to circumvent the no-hair theorem and acquire scalar hair while leaving the weak field regime of the theory…

General Relativity and Quantum Cosmology · Physics 2022-06-15 Jose Luis Blázquez-Salcedo , Daniela D. Doneva , Jutta Kunz , Stoytcho S. Yazadjiev

For a static and spherically symmetric black hole, a photon sphere is composed of circular null geodesics of fixed radius, and plays an important role in observing the black hole. Recently, in an Einstein-Maxwell-scalar model with a…

General Relativity and Quantum Cosmology · Physics 2022-06-29 Guangzhou Guo , Peng Wang , Houwen Wu , Haitang Yang

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 the Hawking flux from a black hole with soft hair by the anomaly cancellation method proposed by Robinson and Wilczek. Unlike the earlier studies considering the black hole with linear supertranslation hair, our study takes into…

High Energy Physics - Theory · Physics 2021-10-26 Feng-Li Lin , Shingo Takeuchi

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

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
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