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We study the instability of Schwarzschild black holes and the appearance of scalarized solutions in Einstein-scalar-Gauss-Bonnet gravity performing a time-domain analysis in a perturbative scheme. First we consider a quadratic coupling…

General Relativity and Quantum Cosmology · Physics 2021-12-23 Fabrizio Corelli

The semiclassical geometry of charged black holes is studied in the context of a two-dimensional dilaton gravity model where effects due to pair-creation of charged particles can be included in a systematic way. The classical mass-inflation…

High Energy Physics - Theory · Physics 2008-11-26 Andrei V. Frolov , Kristjan R. Kristjansson , Larus Thorlacius

Recently, we proposed an enhancement of the Regge-Wheeler-Zerilli formalism for first-order perturbations about a Schwarzschild background that includes first-order corrections due to the background black-hole spin. Using this formalism, we…

General Relativity and Quantum Cosmology · Physics 2011-06-17 Hiroyuki Nakano , Manuela Campanelli , Carlos O. Lousto , Yosef Zlochower

The linear response of a Schwarzschild black hole to an external quadrupolar perturbation is studied in analogy to a mechanical electrodynamical system, with the goal to describe the gravitational polarizability. Its causality properties…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Gabriel Vidal , Gabriel M. Dantas , Riccardo Sturani , Gabriel Menezes

We investigate the dynamical behavior of a scalar field non-minimally coupled to Einstein's tensor and Ricci scalar in geometries of asymptotically de Sitter spacetimes. We show that the quasinormal modes remain unaffected if the scalar…

General Relativity and Quantum Cosmology · Physics 2019-04-25 R. D. B. Fontana , Jeferson de Oliveira , A. B. Pavan

We discuss properties of a 4-dimensional Schwarzschild black hole in a spacetime where one of the spatial dimensions is compactified. As a result of the compactification the event horizon of the black hole is distorted. We use Weyl…

High Energy Physics - Theory · Physics 2009-11-10 Andrei V. Frolov , Valeri P. Frolov

We study gravitational perturbations of the Schwarzschild metric in the context of noncommutative gravity. $r-\varphi$ and $r-t$ noncommutativity are introduced through a Moyal twist of the Hopf algebra of diffeomorphisms. Differential…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Nikola Herceg , Tajron Jurić , A. Naveena Kumara , Andjelo Samsarov , Ivica Smolić

Black hole (BH) solution in the conformal Weyl gravity is a generalization of the Schwarzschild spacetime which includes two additional constants appearing when integrating the third order differential equations for gravitational field. One…

General Relativity and Quantum Cosmology · Physics 2021-02-24 R. A. Konoplya

We examine the geometry of a generalized uncertainty-inspired quantum black hole. The diagonal line element is not $t$-$r$ symmetric, i.e. $g_{00} \ne -1/g_{11}$, which leads to an interesting approach to resolving the classical curvature…

General Relativity and Quantum Cosmology · Physics 2025-04-24 Douglas M. Gingrich , Saeed Rastgoo

In the context of Born-Infeld gravity theories we report the existence of a regular black hole interior representing a spherically symmetric vacuum solution of the theory. It reduces to the Schwarzschild interior metric in the weak field…

General Relativity and Quantum Cosmology · Physics 2019-05-30 Christian G. Boehmer , Franco Fiorini

In recent years, gravitational-wave astronomy has motivated increasingly accurate perturbative studies of gravitational dynamics in compact binaries. This in turn has enabled more detailed analyses of the dynamical black holes in these…

General Relativity and Quantum Cosmology · Physics 2022-01-24 Riccardo Bonetto , Adam Pound , Zeyd Sam

In Einstein-Maxwell theory, according to classic uniqueness theorems, the most general stationary black-hole solution is the axisymmetric Kerr-Newman metric, which is defined by three parameters: mass, spin and electric charge. The radial…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Paolo Pani , Emanuele Berti , Leonardo Gualtieri

Regular black holes, free of central singularities, provide an ideal laboratory for probing the geometric structure of spacetime. The global structure of some regular black holes, e.g. Hayward black hole, features an event horizon and a…

General Relativity and Quantum Cosmology · Physics 2025-12-01 Caiying Shao , Jun-Qi Guo , Yu Tian , Hongbao Zhang

For general gravitational collapse, inside the black-hole region, singularities $(r=0)$ may arise. In this article, we aim to answer how strong these singularities could be. We analyse the behaviours of various geometric quantities. In…

Analysis of PDEs · Mathematics 2020-03-31 Xinliang An , Ruixiang Zhang

We study spin models on Euclidean black hole backgrounds. These resemble the Ising model, but are inhomogeneous with two parameters, the black hole mass and the cosmological constant. We use Monte-Carlo methods to study macroscopic…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Mustafa Saeed , Viqar Husain

We study odd dimensional charged equally rotating black holes in the Einstein-Maxwell theory with/without a cosmological constant by using the large D expansion method, where D is a spacetime dimension. Solving the Einstein-Maxwell…

High Energy Physics - Theory · Physics 2016-05-31 Kentaro Tanabe

We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

We study the effective dynamics of the Schwarzschild black hole interior by introducing entropic deformations derived from generalized superstatistical entropies $S_{+}$ and $S_{-}$. The resulting modified Hamiltonians $\bar{H}_{\pm}$,…

General Relativity and Quantum Cosmology · Physics 2026-04-14 O. Garcia , O. Obregón , J. Ríos Padilla

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Satish Kumar Saravanan

Recently, a new nonlinear mechanism for black hole scalarization, different from the standard spontaneous scalarization, was demonstrated to exist for scalar Gauss-Bonnet theories in which no tachyonic instabilities can occur. Thus…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Kalin V. Staykov , Daniela D. Doneva