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We study the problem of stability and instability of extreme Reissner-Nordstrom spacetimes for linear scalar perturbations. Specifically, we consider solutions to the linear wave equation on a suitable globally hyperbolic subset of such a…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Stefanos Aretakis

The issue of defining the volume of black holes has significant implications for quantum gravity. Drawing on concepts from quantum theory and general relativity, several motivations for introducing discreteness in geometry can be proposed.…

General Relativity and Quantum Cosmology · Physics 2025-05-20 Arkady Bolotin

In the context of the recently proposed type-II minimally modified gravity theory, i.e. a metric theory of gravity with two local physical degrees of freedom that does not possess an Einstein frame, we study spherically symmetric vacuum…

General Relativity and Quantum Cosmology · Physics 2021-03-12 Antonio De Felice , Andreas Doll , François Larrouturou , Shinji Mukohyama

We present a new explicit class of black holes in general quadratic gravity with a cosmological constant. These spherically symmetric Schwarzschild-Bach-(anti-)de Sitter geometries (Schwa-Bach-(A)dS), derived under the assumption of…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Robert Svarc , Jiri Podolsky , Vojtech Pravda , Alena Pravdova

We investigate the interior of a dynamical black hole as described by the Einstein-Maxwell-charged-Klein-Gordon system of equations with a cosmological constant, under spherical symmetry. In particular, we consider a characteristic initial…

General Relativity and Quantum Cosmology · Physics 2025-02-20 Flavio Rossetti

We study the black hole interiors of spacetimes arising from gravitational collapse in the spherically symmetric Einstein-scalar field setting, and we investigate the precise blow-up rates of curvature and mass at the spacelike singularity…

Analysis of PDEs · Mathematics 2020-04-27 Xinliang An , Dejan Gajic

We study static black holes in quadratic gravity with planar and hyperbolic symmetry and non-extremal horizons. We obtain a solution in terms of an infinite power-series expansion around the horizon, which is characterized by two…

General Relativity and Quantum Cosmology · Physics 2023-02-28 Alena Pravdova , Vojtech Pravda , Marcello Ortaggio

We explicitly prove that a class of finite quantum gravitational theories (in odd as well as in even dimension) is actually a range of anomaly-free conformally invariant theories in the spontaneously broken phase of the conformal Weyl…

High Energy Physics - Theory · Physics 2016-05-16 Leonardo Modesto , Leslaw Rachwal

Understanding the observations of dynamical tracers and the trajectories of lensed photons at galactic scales within the context of General Relativity (GR), requires the introduction of a hypothetical dark matter dominant component. The…

Astrophysics of Galaxies · Physics 2018-11-28 X. Hernandez , R. A. Sussman , L. Nasser

We have recently constructed a numerical code that evolves a spherically symmetric spacetime using a hyperbolic formulation of Einstein's equations. For the case of a Schwarzschild black hole, this code works well at early times, but…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Mark A. Scheel , Thomas W. Baumgarte , Gregory B. Cook , Stuart L. Shapiro , Saul A. Teukolsky

Recently, Friedrich's Generalized Conformal Field Equations (GCFE) have been implemented numerically and global quantities such as the Bondi energy and the Bondi-Sachs mass loss have been successfully calculated directly on null-infinity.…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Jörg Frauendiener , Chris Stevens

We study two large classes of alternative theories, modifying the action through algebraic, quadratic curvature invariants coupled to scalar fields. We find one class that admits solutions that solve the vacuum Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Nicolas Yunes , Leo C. Stein

We consider the relativistic Euler equations governing spherically symmetric, perfect fluid flows on the outer domain of communication of Schwarzschild spacetime, and we introduce a version of the finite volume method which is formulated…

General Relativity and Quantum Cosmology · Physics 2013-01-01 Philippe G. LeFloch , Hasan Makhlof

In this paper, we prove the linear stability to gravitational and electromagnetic perturbations of the Reissner-Nordstr\"om family of charged black holes with small charge. Solutions to the linearized Einstein-Maxwell equations around a…

General Relativity and Quantum Cosmology · Physics 2020-09-03 Elena Giorgi

We study the full time-domain evolution of gravitational perturbations in black hole spacetimes arising in Einstein-Weyl gravity, a renormalizable extension of general relativity containing quadratic curvature corrections. We analyze both…

General Relativity and Quantum Cosmology · Physics 2025-07-31 Roman A. Konoplya , Andrea Spina , Alexander Zhidenko

The extendibility of spacetime and the existence of weak solutions to the Einstein field equations beyond Cauchy horizons, is a crucial ingredient to examine the limits of General Relativity. Strong Cosmic Censorship serves as a firewall…

General Relativity and Quantum Cosmology · Physics 2020-11-17 Kyriakos Destounis , Rodrigo D. B. Fontana , Filipe C. Mena

We analyze the classical stability of Schwarzschild black hole in massive conformal gravity which was recently proposed for another massive gravity model. This model in the Jordan frame is conformally equivalent to the Einstein-Weyl gravity…

General Relativity and Quantum Cosmology · Physics 2014-02-06 Yun Soo Myung

We consider finite deformations of the p+2-dimensional Schwarzschild geometry which obey the vacuum Einstein equation, preserve the mean curvature and induced conformal metric on a sphere a distance $\lambda$ from the horizon and are…

High Energy Physics - Theory · Physics 2015-05-28 Irene Bredberg , Andrew Strominger

We prove global existence for Einstein's equations with a charged scalar field for initial conditions sufficiently close to the Minkowski spacetime without matter. The proof relies on generalized wave coordinates adapted to the outgoing…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Christopher Kauffman , Hans Lindblad

We study a quantum-corrected Schwarzschild black hole proposed recently in Loop Quantum Gravity. Prompted by the fact that corrections to the innermost stable circular orbit of Schwarzschild diverge, we investigate timelike and null radial…

General Relativity and Quantum Cosmology · Physics 2020-08-04 Valerio Faraoni , Andrea Giusti
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