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We investigate a class of horizonless solutions in Einstein-Weyl gravity, corresponding to the so-called attractive naked singularities of the (-2,2) type. In contrast to General Relativity, where naked singularities are generically…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Alfio M. Bonanno , Samuele Silveravalle , Andrea Spina

This review is focused on tests of Einstein's theory of General Relativity with gravitational waves that are detectable by ground-based interferometers and pulsar timing experiments. Einstein's theory has been greatly constrained in the…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Nicolas Yunes , Xavier Siemens

We prove global stability of Minkowski space for the Einstein vacuum equations in harmonic (wave) coordinate gauge for the set of restricted data coinciding with Schwartzschild solution in the neighborhood of space-like infinity. The result…

Analysis of PDEs · Mathematics 2011-04-21 Hans Lindblad , Igor Rodnianski

Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: $f({\cal R})={\cal R}+2\beta\sqrt{{\cal R}}$, with or without a cosmological constant. The new black holes behave…

General Relativity and Quantum Cosmology · Physics 2020-02-14 E. Elizalde , G. G. L. Nashed , S. Nojiri , S. D. Odintsov

Gravitational wave observations have significantly broadened our capacity to explore fundamental physics beyond the Standard Model, providing crucial insights into dark matter that are inaccessible through conventional methods. Here, we…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-21 Jeong Han Kim , Xing-Yu Yang

We consider generic linear perturbations of a nonbidiagonal class of static black-hole solutions in massive (bi)gravity. We show that the quasinormal spectrum of these solutions coincides with that of a Schwarzschild black hole in general…

General Relativity and Quantum Cosmology · Physics 2016-09-19 Eugeny Babichev , Richard Brito , Paolo Pani

We discuss dynamical aspects of gravitational plane waves in Einstein theory with massless scalar fields. The general analytic solution describes colliding gravitational waves with constant polarization, which interact with scalar waves…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Jorge G. Russo

The Harmonic Einstein equation is the vacuum Einstein equation supplemented by a gauge fixing term which we take to be that of DeTurck. For static black holes analytically continued to Riemannian manifolds without boundary at the horizon…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alexander Adam , Sam Kitchen , Toby Wiseman

We discuss the stability of (charged) static black holes in higher-dimensional spacetimes with and without cosmological constant by using gauge-invariant master equations of the Schroedinger equation type for black hole perturbations…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hideo Kodama , Akihiro Ishibashi

We study the static cosmological solutions and their stability at background level in the framework of massive bigravity theory with Friedmann-Robertson-Walker (FRW) metrics. By the modification proposed in the cosmological equations…

General Relativity and Quantum Cosmology · Physics 2017-05-17 M. Mousavi , F. Darabi

The recent detection of gravitational waves by the LIGO/VIRGO team is an incredibly impressive achievement of experimental physics. It is also a tremendous success of the theory of General Relativity. It confirms the existence of black…

History and Philosophy of Physics · Physics 2016-09-12 C Denson Hill , Pawel Nurowski

Validating the results of [A.M. Abrahams and C.R. Evans, Phys. Rev. Lett. 70, 2980] poses a numerical challenge and has been inspiring a lot of research. We join these efforts and present our first steps to achieve this goal: we discuss a…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Andrzej Rostworowski

Gravitational waves deliver information in exquisite detail about astrophysical phenomena, among them the collision of two black holes, a system completely invisible to the eyes of electromagnetic telescopes. Models that predict…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Deirdre Shoemaker , Karan Jani , Lionel London , Larne Pekowsky

As is well known, there exist some Lorentz breaking scenarios which explain the smallness of the cosmological constant in the present era. An important aspect to analyze is the propagation of gravitational waves and the screening or…

General Relativity and Quantum Cosmology · Physics 2017-11-01 O. Santillan , M. Scornavacche

Black holes and gravitational waves are consequences of the nonlinear character of the Einstein equations. Yet, the remarkable properties of General Relativity point to the existence of other effects. Here we uncover new nonlinear facets of…

General Relativity and Quantum Cosmology · Physics 2026-03-06 Vitor Cardoso , Jaime Redondo-Yuste , Ulrich Sperhake , Furkan Tuncer

Gravitational waves (GW) are expected to interact with dark energy and dark matter, affecting their propagation on cosmological scales. In order to model this interaction, we derive a gauge invariant effective equation and action valid for…

Cosmology and Nongalactic Astrophysics · Physics 2024-03-29 Antonio Enea Romano

The stability of Reissner-N\"ordstrom black holes with an extremal mass-charge relation was determined by calculating the propagation speed of gravitational waves on this background in an effective field theory (EFT) of gravity. New results…

General Relativity and Quantum Cosmology · Physics 2024-09-12 Miguel Barroso Varela , Hugo Rauch

We study a static spherically symmetric problem with a black hole and radially directed geodesic flows of dark matter. The obtained solutions have the following properties. At large distances, the gravitational field produces constant…

General Relativity and Quantum Cosmology · Physics 2021-02-11 Igor Nikitin

Gravitational wave radiation from periodic orbits in some standard regular black hole spacetimes is studied, primarily using known methods (numerical and analytic). We demonstrate specific differences with the singular Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2026-02-25 Rishav Agrawal , Anjan Kar , Soumya Jana , Sayan Kar

Geodesic equations of the vacuum C-metric are derived and solved for various cases. The solutions describe the motion of timelike or null particles with conserved energy and angular momentum. Polar, nearly-circular orbits around weakly…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Yen-Kheng Lim
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