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The acceleration of the universe is described as a dynamical effect of the extrinsic curvature of space-time. By extending previous results, the extrinsic curvature is regarded as an independent spin-2 field, determined by a set of…

Cosmology and Nongalactic Astrophysics · Physics 2009-05-27 M. D. Maia , A. J. S. Capistrano , J. S. Alcaniz , E. M. Monte

We study the linear instability and the nonlinear dynamical evolution of the Reissner-Nordstr\"om (RN) black hole in the Einstein-Maxwell-scalar theory in asymptotic flat spacetime. We focus on the coupling function $f(\phi)=e^{-b\phi^2}$…

General Relativity and Quantum Cosmology · Physics 2022-09-14 Wei Xiong , Peng Liu , Chao Niu , Cheng-Yong Zhang , Bin Wang

The close limit approximation of binary black hole is a powerful method to study gravitational-wave emission from highly non-linear geometries. In this work, we use it as a tool to model black hole spacetimes in theories of gravity with a…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Lorenzo Annulli

Black holes found in binaries move at very high velocities relative to our own reference frame and can accelerate due to the emission of gravitational radiation. Here, we investigate the numerical stability and late-time behavior of linear…

General Relativity and Quantum Cosmology · Physics 2020-08-06 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

We investigate the superradiant instability of Ay\'on-Beato-Garc\'ia-de Sitter (ABG-dS) black holes under massless charged scalar perturbations using both time-domain evolutions and frequency-domain computations. We show that the…

General Relativity and Quantum Cosmology · Physics 2026-05-20 Yizhi Zhan , Hengyu Xu , Haowei Chen , Shao-Jun Zhang

The nonlinear character of general relativity leaves its imprint in the coalescence of two black holes, from the inspiral to the final ringdown stage. To quantify the impact of nonlinearities, we work at second order in black hole…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Jaime Redondo-Yuste , Gregorio Carullo , Justin L. Ripley , Emanuele Berti , Vitor Cardoso

We consider Einstein gravity extended with quadratic curvature invariants, where the well-known Ricci-flat Taub-NUT black hole remains a solution. An analysis of the unstable Lichnerowicz modes in the Taub-NUT background enables us to…

General Relativity and Quantum Cosmology · Physics 2024-06-07 Yu-Qi Chen , Hai-Shan Liu

Two types of self-gravitating particle solutions found in several theories with non-Abelian fields are smoothly connected by a family of non-trivial black holes. There exists a maximum point of the black hole entropy, where the stability of…

General Relativity and Quantum Cosmology · Physics 2009-10-22 K. Maeda , T. Tachizawa , T. Torii , T. Maki

We investigate the black holes in the new massive conformal gravity which is not invariant under conformal transformations because of the presence of the Einstein-Hilbert term. First, we show that the small Schwarzschild black hole is…

General Relativity and Quantum Cosmology · Physics 2019-10-02 Yun Soo Myung , De-Cheng Zou

Analyzing exact solutions of the Einstein-Maxwell equations in the Kerr-Schild formalism we show that black hole horizon is instable with respect to electromagnetic excitations. Contrary to perturbative smooth harmonic solutions, the exact…

General Relativity and Quantum Cosmology · Physics 2010-03-18 Alexander Burinskii

We study the stability of AdS black hole holes rotating in a single two plane for tensor-type gravitational perturbations in $D > 6$ space-time dimensions. First, by an analytic method, we show that there exists no unstable mode when the…

High Energy Physics - Theory · Physics 2009-07-26 Hideo Kodama , R. A. Konoplya , A. Zhidenko

We discuss the two-dimensional (2D), $\epsilon<2$ extremal ground states of charged black hole. Here $\epsilon$ is the dilaton coupling parameter for the Maxwell term. The complete analysis of stability is carried out for all these extremal…

High Energy Physics - Theory · Physics 2009-10-28 H. W. Lee , Y. S. Myung , Jin Young Kim

We study the complete time evolution of scalar fields propagating in space-times of higher dimensional Lifshitz Black Holes with dynamical critical exponent $z=2$, obtained from a theory including the most general quadratic curvature…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Elcio Abdalla , Owen Pavel Fernández Piedra , Fidel Sosa Nuñez , Jeferson de Oliveira

The superradiant stability is investigated for non-extremal Reissner-Nordstrom black hole. We use an algebraic method to demonstrate that all non-extremal Reissner-Nordstrom black holes are superradiantly stable against a charged massive…

General Relativity and Quantum Cosmology · Physics 2016-06-14 Jia-Hui Huang , Zhan-Feng Mai

We study the non-modal stability of black hole spacetimes under linear perturbations. We show that large-amplitude growth can occur at finite time, despite asymptotic decay of linear perturbations. In the example presented, the physical…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Javier Carballo , Christiana Pantelidou , Benjamin Withers

We study static, spherically symmetric and electrically charged black hole solutions in a quadratic Einstein-scalar-Gauss-Bonnet gravity model. Very similar to the uncharged case, black holes undergo spontaneous scalarization for…

General Relativity and Quantum Cosmology · Physics 2019-04-03 Yves Brihaye , Betti Hartmann

Classically, the inner horizon of a perturbed, rotating black hole undergoes an instability known as mass inflation, wherein the spacetime curvature diverges as a result of hyper-relativistic crossing streams of ingoing and outgoing…

General Relativity and Quantum Cosmology · Physics 2022-07-05 Tyler McMaken , Andrew J. S. Hamilton

Massive bosonic fields in the background of a Kerr black hole can either trigger superradiant instabilities (black-hole bombs) or form equilibrium configurations corresponding to pure bound states, known as stationary scalar clouds. Here,…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Marzena Ciszak , Francesco Marino

We study slowly rotating black hole solutions in the Einstein-Bel-Robinson gravity (EBR) in four dimensions. At the leading order in the rotation parameter, the only modification with respect to the static case is the appearance of a…

General Relativity and Quantum Cosmology · Physics 2025-05-05 Seyed Naseh Sajadi , Supakchai Ponglertsakul , Robert B. Mann

We numerically construct a family of stationary, axisymmetric black hole solutions in Einstein-Born-Infeld theory, incorporating both electric charge and rotation. Our results indicate that when nonlinear electromagnetic effects are weak,…

General Relativity and Quantum Cosmology · Physics 2025-07-02 Lang Cheng , Peng Wang
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