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We study the interior dynamics of spontaneously scalarized black holes in Einstein-Maxwell-Scalar theory with zero cosmological constant, revealing novel critical phenomena. We demonstrate that, for a wide range of scalar-electromagnetic…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Li Li , Ze Sun , Fu-Guo Yang

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

We study standard Einstein-Maxwell theory minimally coupled to a complex valued and self-interacting scalar field. We demonstrate that new, previously unnoticed spherically symmetric, charged black hole solutions with scalar hair exist in…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Y. Brihaye , B. Hartmann

We consider solutions to the linear wave equation $\Box_g\phi=0$ on a non-extremal maximally extended Schwarzschild-de Sitter spacetime arising from arbitrary smooth initial data prescribed on an arbitrary Cauchy hypersurface. (In…

General Relativity and Quantum Cosmology · Physics 2007-09-19 Mihalis Dafermos , Igor Rodnianski

We study the asymptotic stability of de Sitter spacetime with respect to non-linear perturbations, by considering second order perturbations of a flat Robertson-Walker universe with dust and a positive cosmological constant. Using the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Marco Bruni , Filipe C. Mena , Reza Tavakol

We study static non-critical hairy black holes of four dimensional gravitational model with nonminimal derivative coupling and a scalar potential turned on. By taking an ansatz, namely, the first derivative of the scalar field is…

High Energy Physics - Theory · Physics 2018-05-28 Bobby Eka Gunara , Ainol Yaqin

We consider the Einstein-scalar-Gauss-Bonnet theory in the presence of a cosmological constant $\Lambda$, either positive or negative, and look for novel, regular black-hole solutions with a non-trivial scalar hair. We first perform an…

High Energy Physics - Theory · Physics 2019-03-11 Athanasios Bakopoulos , Georgios Antoniou , Panagiota Kanti

An exact hairy asymptotically locally AdS black hole solution with a flat horizon in the Einstein-nonlinear sigma model system in (3+1) dimensions is constructed. The ansatz for the nonlinear $SU(2)$ field is regular everywhere and depends…

General Relativity and Quantum Cosmology · Physics 2017-12-08 Marco Astorino , Fabrizio Canfora , Alex Giacomini , Marcello Ortaggio

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

A class of exact rotating black hole solutions of gravity nonminimally coupled to a self-interacting scalar field in arbitrary dimensions is presented. These spacetimes are asymptotically locally anti-de Sitter manifolds and have a…

High Energy Physics - Theory · Physics 2018-01-31 Cristián Erices , Cristian Martinez

Recently, various examples of asymptotically flat, rotating black holes (BHs) with synchronized hair have been explicitly constructed, including Kerr BHs with scalar or Proca hair, and Myers-Perry BHs with scalar hair and a mass gap,…

General Relativity and Quantum Cosmology · Physics 2016-08-03 Yves Brihaye , Carlos Herdeiro , Eugen Radu

It was believed that when gravitational, electromagnetic and scalar waves interact, a spacelike curvature singularity or Cauchy horizon develops because of mutual focusing. We show with an exact solution that the collision of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ozay Gurtug , Mustafa Halilsoy

We study the Einstein-scalar field system with positive cosmological constant and spherically symmetric characteristic initial data given on a truncated null cone. We prove well-posedness, global existence and exponential decay in (Bondi)…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Joao L. Costa , Artur Alho , Jose Natario

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

To investigate the cosmic no hair conjecture, we analyze numerically 1-dimensional plane symmetrical inhomogeneities due to gravitational waves in vacuum spacetimes with a positive cosmological constant. Assuming periodic gravitational…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Hisa-aki SHINKAI , Kei-ichi MAEDA

The no-hair theorem by Mayo and Bekenstein states that there exists no non-extremal static and spherical charged black hole endowed with hair in the form of a charged scalar field with a self-interaction potential. In our recent work, we…

General Relativity and Quantum Cosmology · Physics 2020-09-16 Jeong-Pyong Hong , Motoo Suzuki , Masaki Yamada

In this paper, we show a no-go theorem for static spherically symmetric black holes with vector hair in Einstein-$\Lambda$-Vector-Tensor-Gauss-Bonnet theory where a complex vector field non-minimally couples with Gauss-Bonnet invariant. For…

General Relativity and Quantum Cosmology · Physics 2023-08-16 S. Matsumoto

We investigate stationary rotationally symmetric solutions of a particular truncation of Horndeski theory in three dimensions, including a non-minimal scalar kinetic coupling to the curvature. After discussing the special case of a…

General Relativity and Quantum Cosmology · Physics 2018-08-28 Gérard Clément , Khireddine Nouicer

We discuss with a rather critical eye the current situation of black hole (BH) solutions in $f(R)$ gravity and shed light about its geometrical and physical significance. We also argue about the meaning, existence or lack thereof of a…

General Relativity and Quantum Cosmology · Physics 2016-07-20 Pedro Cañate , Luisa G. Jaime , Marcelo Salgado

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