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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

The Reissner-Nordstrom black hole in four dimensions can be made unstable without violating the dominant energy condition by introducing a real massive scalar with non-renormalizable interactions with the gauge field. New stable black hole…

High Energy Physics - Theory · Physics 2009-11-11 Steven S. Gubser

We provide a possible way of avoiding the hair-loss problem by studying gauge fluctuations on a classical Schwarzschild black hole background. The hair-loss problem arises due to the small fidelity of reconstructing the interior operator at…

High Energy Physics - Theory · Physics 2023-09-21 Peng Cheng

We study the stability of static spherically symmetric exact solutions of Einstein equations coupled with nonlinear electrodynamics, in the magnetic sector. These solutions satisfy the heuristic model proposed by Ashtekar-Corichi-Sudarsky…

High Energy Physics - Theory · Physics 2009-11-11 Nora Breton

In this paper we construct new hairy black holes of Lovelock-Born-Infeld-Scalar gravity in diverse dimensions. We study horizon structures of the black holes and find the black holes may possess three horizons, two horizons or one horizon.…

General Relativity and Quantum Cosmology · Physics 2018-08-02 Kun Meng

We construct hairy black hole solutions in a particular set of tensor-multi-scalar theories of gravity for which the target-space admits a Killing vector field with periodic flow that is furthermore the generator of a one-parameter family…

General Relativity and Quantum Cosmology · Physics 2020-11-11 Lucas G. Collodel , Daniela D. Doneva , Stoytcho S. Yazadjiev

Scalar-tensor theories of gravity where a new scalar degree of freedom couples to the Gauss-Bonnet invariant can exhibit the phenomenon of spontaneous black hole scalarization. These theories admit both the classic black holes predicted by…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Hector O. Silva , Caio F. B. Macedo , Thomas P. Sotiriou , Leonardo Gualtieri , Jeremy Sakstein , Emanuele Berti

It has long been suggested that solutions to linear scalar wave equation $$\Box_g\phi=0$$ on a fixed subextremal Reissner-Nordstr\"om spacetime with non-vanishing charge are generically singular at the Cauchy horizon. We prove that generic…

General Relativity and Quantum Cosmology · Physics 2017-03-01 Jonathan Luk , Sung-Jin Oh

A common feature of regular black hole spacetimes is the presence of an inner Cauchy horizon. The analogy to the Reissner-Nordstr\"om solution then suggests that these geometries suffer from a mass-inflation effect, rendering the Cauchy…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Alfio Bonanno , Antonio Panassiti , Frank Saueressig

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

We investigate black hole solutions with time-dependent (scalar) hair in scalar-tensor theories. Known exact solutions exist for such theories at the background level, where the metric takes on a standard GR form (e.g. Schwarzschild-de…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Sergi Sirera , Johannes Noller

It is shown that black hole spacetimes in classical Einstein gravity are characterized by, in addition to their ADM mass $M$, momentum $\vec P$, angular momentum $\vec J$ and boost charge $\vec K$, an infinite head of supertranslation hair.…

High Energy Physics - Theory · Physics 2017-06-28 Stephen W. Hawking , Malcolm J. Perry , Andrew Strominger

We employ the holographic quench technique to drive Einstein-Maxwell-scalar (EMs) black holes out of equilibrium and study the real-time dynamics therein. From the fully nonlinear dynamical simulations, a dynamically unstable…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Qian Chen , Zhuan Ning , Yu Tian , Xiaoning Wu , Cheng-Yong Zhang , Hongbao Zhang

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 stability analysis of Schwarzschild black hole in Einstein-scalar-Gauss-Bonnet (ESGB) theory because the instability of Schwarzschild black hole without scalar hair implies the Gauss-Bonnet black hole with scalar hair.…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Yun Soo Myung , De-Cheng Zou

In this work, we generalise the spontaneous scalarization phenomena in Einstein-Maxwell-Scalar models to a higher spin field. The result is an Einstein-Maxwell-Vector model wherein a vector field is non-minimally coupled to the Maxwell…

General Relativity and Quantum Cosmology · Physics 2021-02-10 João M. S. Oliveira , Alexandre M. Pombo

In this work we consider black holes surrounded by anisotropic fluids in four dimensions. We first study the causal structure of these solutions showing some similarities and differences with Reissner-Nordstr\"om-de Sitter black holes. In…

General Relativity and Quantum Cosmology · Physics 2020-11-20 B. Cuadros-Melgar , R. D. B. Fontana , Jeferson de Oliveira

Continuous sequences of asymptotically flat solutions to the Einstein-Maxwell equations describing regular equilibrium configurations of ordinary matter can reach a black hole limit. For a distant observer, the spacetime becomes more and…

General Relativity and Quantum Cosmology · Physics 2015-02-12 Reinhard Meinel , Martin Breithaupt , Yu-Chun Liu

Using the solution phase space method, we investigate the thermodynamics of black holes in Einstein-aether-Maxwell theory, for which the traditional Wald method (covariant phase space method) fails. We show the first laws of thermodynamics…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Hai-Feng Ding , Xiang-Hua Zhai

We present an exact solution of the Maxwell-Einstein equations, which describes the exterior of a charged spherical mass collapsing into its own trapping horizon and then bouncing back from an anti-trapping horizon at the same space…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Antoine Rignon-Bret , Carlo Rovelli