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We uncover two mechanisms that can render Kerr black holes unstable in scalar-tensor gravity, both associated to the presence of matter in the vicinity of the black hole and the fact that this introduces an effective mass for the scalar.…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Vitor Cardoso , Isabella P. Carucci , Paolo Pani , Thomas P. Sotiriou

General Relativity provides us with some solutions for rotating black holes. However, there are some problems associated with them: the appearance of singularities, the possibility of violations of the cosmic censorship conjecture, the…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Ramon Torres

We present a quantum mechanical study of the bound states of a neutral scalar particle on the curved background described by the Reissner-Nordstr\"om (RN) spacetime that corresponds to a naked singularity. We show that there occurs both the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Valentin D. Gladush , Dmitry A. Kulikov

We show non-linear stability and instability results in spherical symmetry for the interior of a charged black hole -approaching a sub-extremal Reissner-Nordstr\"om background fast enough at infinity- in presence of a massive and charged…

General Relativity and Quantum Cosmology · Physics 2018-03-14 Maxime Van de Moortel

We present here an overview of our basic understanding and recent developments on spacetime singularities in the Einstein theory of gravity. Several issues related to physical significance and implications of singularities are discussed.…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Pankaj S. Joshi

Black hole spectroscopy is a powerful tool to probe the Kerr nature of astrophysical compact objects and their environment. The observation of multiple ringdown modes in gravitational waveforms could soon lead to high-precision…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Kyriakos Destounis , Rodrigo Panosso Macedo , Emanuele Berti , Vitor Cardoso , José Luis Jaramillo

We analyze here the issue of local versus the global visibility of a singularity that forms in gravitational collapse of a dust cloud, which has important implications for the weak and strong versions of the cosmic censorship hypothesis. We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. S. Deshingkar , S. Jhingan , P. S. Joshi

We study collisions of boosted rotating black holes in $D=6$ and 7 spacetime dimensions with a non-zero impact parameter. We find that there exists an open set of initial conditions such that the intermediate state of the collision is a…

High Energy Physics - Theory · Physics 2021-11-30 Tomas Andrade , Pau Figueras , Ulrich Sperhake

One of the fundamental unanswered questions in the general theory of relativity is whether ``naked'' singularities, that is singular events which are visible from infinity, may form with positive probability in the process of gravitational…

Analysis of PDEs · Mathematics 2016-09-07 Demetrios Christodoulou

This work is an extensive literature review focusing on a few of the important topics in the large-scale structure of spacetime. The work is a Bachelor's thesis submitted at the Institute of Theoretical Physics, University of Leipzig. The…

General Relativity and Quantum Cosmology · Physics 2019-11-18 Rohan Kulkarni

It is known that two Reissner-Nordstrom black holes or two overextreme Reissner-Nordstrom sources cannot be in physical equilibrium. In the static case such equilibrium is possible only if one of the sources is a black hole and another one…

General Relativity and Quantum Cosmology · Physics 2019-08-27 G. A. Alekseev , V. A. Belinski

The Kerr-Newman metric is the unique vacuum solution of the General Relativistic field equations, in which any singularities or spacetime pathologies are hidden behind horizons. They are believed to describe the spacetimes of massive…

General Relativity and Quantum Cosmology · Physics 2023-04-21 Dimitrios Psaltis

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

We determine the end point of the axisymmetric ultraspinning instability of asymptotically flat Myers-Perry black holes in D = 6 spacetime dimensions. In the non-linear regime, this instability gives rise to a sequence of concentric rings…

High Energy Physics - Theory · Physics 2017-04-18 Pau Figueras , Markus Kunesch , Luis Lehner , Saran Tunyasuvunakool

We investigate the stability of black holes in the viable model of $f(R)=R+R^2$ gravity which was known to be the best fit for inflation. These include Schwarzschild and Kerr black holes. Instead of studying the fourth-order linearized…

General Relativity and Quantum Cosmology · Physics 2015-03-13 Yun Soo Myung

We study the motion of neutral test particles along circular orbits in the Reissner-Nordstr\"om spacetime. We use the method of the effective potential with the constants of motion associated to the underlying Killing symmetries. A…

General Relativity and Quantum Cosmology · Physics 2010-03-16 Daniela Pugliese , Hernando Quevedo , Remo Ruffini

Recent numerical investigations have uncovered a surprising result: Reissner-Nordstrom-de Sitter black holes are unstable for spacetime dimensions larger than 6. Here we prove the existence of such instability analytically, and we compute…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Vitor Cardoso , Madalena Lemos , Miguel Marques

How to describe a black hole embedded in an expanding universe is an important topic. Some models about this issue are suggested by assuming that the metric is a conformal transformation of the Schwarzschild metric or of the isotropic black…

General Relativity and Quantum Cosmology · Physics 2010-03-18 Cheng-Yi Sun

We study null and timelike constant radii geodesics in the environment of an over-spinning putative Kerr-type naked singularity. We are particularly interested in two topics: first, the differences of the shadows of the naked rotating…

General Relativity and Quantum Cosmology · Physics 2024-02-20 Aydin Tavlayan , Bayram Tekin

It is shown that there are large static black holes for which all curvature invariants are small near the event horizon, yet any object which falls in experiences enormous tidal forces outside the horizon. These black holes are charged and…

High Energy Physics - Theory · Physics 2014-11-18 Gary T. Horowitz , Simon F. Ross