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It has been shown recently that extreme Reissner-Nordstr\"{o}m black holes perturbed by a minimally coupled, free, massless scalar field have permanent scalar hair. The hair - a conserved charge calculated at the black hole's event horizon…

General Relativity and Quantum Cosmology · Physics 2019-11-19 Lior M. Burko , Gaurav Khanna , Subir Sabharwal

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

We construct a family of asymptotically flat, rotating black holes with scalar hair and a regular horizon, within five dimensional Einstein's gravity minimally coupled to a complex, massive scalar field doublet. These solutions are…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Yves Brihaye , Carlos Herdeiro , Eugen Radu

We study analytically the initial value problem for a charged massless scalar-field on a Reissner-Nordstr\"om spacetime. Using the technique of spectral decomposition we extend recent results on this problem. Following the no-hair theorem…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod , Tsvi Piran

In the realm of astrophysics, black holes exist within nonvacuum cosmological backgrounds, making it crucial to investigate how these backgrounds influence the properties of black holes. In this work, we first introduce a novel static…

General Relativity and Quantum Cosmology · Physics 2023-11-15 Yaghoub Heydarzade , Maxim Misyura , Vitalii Vertogradov

We develop a scattering theory for the linear wave equation $\Box_g \psi = 0$ on the interior of Reissner-Nordstr\"om black holes, connecting the fixed frequency picture to the physical space picture. Our main result gives the existence,…

General Relativity and Quantum Cosmology · Physics 2019-05-22 Christoph Kehle , Yakov Shlapentokh-Rothman

Einstein-matter theories in which hairy black-hole configurations have been found are studied. We prove that the nontrivial behavior of the hair must extend beyond the null circular orbit (the photonsphere) of the corresponding spacetime.…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Shahar Hod

We show a stability result for the Schwarzschild singularity (inside the black hole region) for the Einstein vacuum equations. The result is proven in the class of polarized axial symmetry, under perturbations of the Schwarzschild data…

Analysis of PDEs · Mathematics 2020-05-07 Spyros Alexakis , Grigorios Fournodavlos

In a recent letter, we presented numerical relativity simulations, solving the full Einstein--Maxwell--Klein-Gordon equations, of superradiantly unstable Reissner-Nordstr\"om black holes (BHs), enclosed in a cavity. Low frequency, spherical…

General Relativity and Quantum Cosmology · Physics 2016-09-07 Nicolas Sanchis-Gual , Juan Carlos Degollado , Carlos Herdeiro , José A. Font , Pedro J. Montero

We investigate the interplaying effects of black hole scalarization and superradiance in the context of the Einstein-Maxwell-scalar model, with the scalar field possessing electric charge. Restricted to spherical symmetry, our linear…

General Relativity and Quantum Cosmology · Physics 2025-08-18 Sebastian Garcia-Saenz , Guangzhou Guo , Peng Wang , Xinmiao Wang

We analyze in detail the geometry and dynamics of the cosmological region arising in spherically symmetric black hole solutions of the Einstein-Maxwell-scalar field system with a positive cosmological constant. More precisely, we solve, for…

General Relativity and Quantum Cosmology · Physics 2019-09-05 João L. Costa , José Natário , Pedro Oliveira

Searching for violations of the no-hair theorem (NHT) is a powerful way to test gravity, and more generally fundamental physics, particularly with regards to the existence of additional scalar fields. The first observation of a black hole…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Mohsen Khodadi , Alireza Allahyari , Sunny Vagnozzi , David F. Mota

We study hairy black holes in Einstein-Maxwell-complex scalar theory in four-dimensional asymptotically global anti-de Sitter (AdS) spacetime when the Robin boundary conditions are imposed on the scalar field. This setup is dual to the…

High Energy Physics - Theory · Physics 2023-07-05 Tomohiro Harada , Takaaki Ishii , Takuya Katagiri , Norihiro Tanahashi

We investigate the oscillation of the Kasner exponent $p_t$ near critical point of the hairy black holes dual to holographic superfluid and reveal a clear inverse periodicity $f(T_c/(T_c-T))$ in a large region below the critical…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Zi-Qiang Zhao , Zhang-Yu Nie , Xing-Kun Zhang , Yu-Sen An , Jing-Fei Zhang , Xin Zhang

In the Einstein-Maxwell-charged scalar system with a negative cosmological constant in arbitrary dimensions higher than three, there exists a horizonless charged soliton solution, which we construct explicitly for an arbitrary mass of the…

High Energy Physics - Theory · Physics 2024-02-08 Takaaki Ishii , Yu Nakayama

We have discovered a new type of scalarized charged black holes in a surprisingly simple system: an Einstein-Maxwell-Klein-Gordon field theory where the three fields couple non-minimally through a Horndeski vector-tensor term. In addition…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Y. Brihaye , Y. Verbin

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

We study the dynamics of black holes in Einstein-scalar-Gauss-Bonnet theories that exhibit spontaneous black hole scalarization using recently introduced methods for solving the full, non-perturbative equations of motion. For one sign of…

General Relativity and Quantum Cosmology · Physics 2021-09-08 William E. East , Justin L. Ripley

In this work, we find a new branch of hairy black hole solutions in the Einstein-Maxwell-Scalar (EMS) theory in four-dimensional asymptotically flat spacetimes. Different from spontaneous scalarization induced by tachyonic instabilities in…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Hong Guo , Wei-Liang Qian , Bean Wang

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
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