English
Related papers

Related papers: Linear Stability Analysis and the Speed of Gravita…

200 papers

We compute the propagation and scattering of linear gravitational waves off a Schwarzschild black hole using a numerical code which solves a generalization of the Zerilli equation to a three dimensional cartesian coordinate system. Since…

General Relativity and Quantum Cosmology · Physics 2009-10-30 L. Rezzolla , A. M. Abrahams , T. W. Baumgarte , G. B. Cook , M. A. Scheel , S. L. Shapiro , S. A. Teukolsky

Gravitational wave observations have been used to test Lorentz symmetry by looking for dispersive effects that are caused by higher order corrections to the dispersion relation. In this Letter I argue on general grounds that, when such…

General Relativity and Quantum Cosmology · Physics 2018-01-31 Thomas P. Sotiriou

This paper explores time-varying black holes within the framework of the Einstein-Gauss-Bonnet theory with two scalar fields, examining the propagation of gravitational waves (GW). In reconstructed models, ghosts frequently emerge but can…

General Relativity and Quantum Cosmology · Physics 2024-11-06 G. G. L. Nashed

Measurement of gravitational waves can provide precision tests of the nature of black holes and compact objects. In this work, we test Giddings' nonviolent nonlocality proposal, which posits that quantum information is transferred via a…

General Relativity and Quantum Cosmology · Physics 2026-02-23 Brian C. Seymour , Yanbei Chen

Gravitational waves from compact objects provide information about their structure, probing deep into strong-gravity regions. Here we illustrate how the presence or absence of an event horizon can produce qualitative differences in the…

General Relativity and Quantum Cosmology · Physics 2010-01-07 Paolo Pani , Emanuele Berti , Vitor Cardoso , Yanbei Chen , Richard Norte

We present a new proof of linear stability of the Schwarzschild solution to gravitational perturbations. Our approach employs the system of linearised gravity in the new geometric gauge of \cite{benomio_kerr}, specialised to the $|a|=0$…

General Relativity and Quantum Cosmology · Physics 2022-11-02 Gabriele Benomio

In this paper, we study the theory of linearized gravity and prove the linear stability of Schwarzschild black holes as solutions of the vacuum Einstein equations. In particular, we prove that solutions to the linearized vacuum Einstein…

General Relativity and Quantum Cosmology · Physics 2018-12-10 Pei-Ken Hung , Jordan Keller , Mu-Tao Wang

This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave…

Mathematical Physics · Physics 2009-07-25 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

This manuscript is a lightly reformatted version of my 2017 PhD thesis. I am posting it on arXiv at the request of my advisor, Sergiu Klainerman, who noted that it has been useful to some students. The content largely reflects the thesis in…

Analysis of PDEs · Mathematics 2026-03-17 John Stogin

We present the first calculation of gravitational wave emission produced in the gravitational collapse of uniformly rotating neutron stars to black holes in fully three-dimensional simulations. The initial stellar models are relativistic…

General Relativity and Quantum Cosmology · Physics 2009-11-11 L. Baiotti , I. Hawke , L. Rezzolla , E. Schnetter

We produce the first numerical relativity binary black hole gravitational waveforms in a higher-curvature theory beyond general relativity. In particular, we study head-on collisions of binary black holes in order-reduced dynamical…

General Relativity and Quantum Cosmology · Physics 2019-11-20 Maria Okounkova , Leo C. Stein , Mark A. Scheel , Saul A. Teukolsky

Linearized gravitational waves in Brans-Dicke and scalar-tensor theories carry negative energy. A gauge-invariant analysis shows that the background Minkowski space is stable at the classical level with respect to linear scalar and tensor…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Valerio Faraoni

We have investigated the geodetic precession and the strong gravitational lensing in the slowly-rotating black hole in the dynamical Chern-Simons modified gravity theory. We present the formulas of the orbital period $T$ and the geodetic…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Songbai Chen , Jiliang Jing

In this work, we find exact gravastar solutions in the context of noncommutative geometry, and explore their physical properties and characteristics. The energy density of these geometries is a smeared and particle-like gravitational…

General Relativity and Quantum Cosmology · Physics 2013-12-16 Francisco S. N. Lobo , Remo Garattini

We study in detail the quasinormal modes of linear gravitational perturbations of plane-symmetric anti-de Sitter black holes. The wave equations are obtained by means of the Newman-Penrose formalism and the Chandrasekhar transformation…

General Relativity and Quantum Cosmology · Physics 2016-03-25 Alex S. Miranda , Vilson T. Zanchin

In a subclass of generalized Proca theories where a cubic vector Galileon term breaks the $U(1)$ gauge invariance, it is known that there are static and spherically symmetric black hole (BH) solutions endowed with nonvanishing temporal and…

General Relativity and Quantum Cosmology · Physics 2024-09-25 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

We apply spectral stability theory to investigate nonlinear gravity waves in the atmosphere. These waves are determined by modulation equations that result from Wentzel-Kramers-Brillouin theory. First, we establish that plane waves, which…

Fluid Dynamics · Physics 2018-05-25 Mark Schlutow , Erik Wahlén , Philipp Birken

Twenty years have passed since the discovery of the accelerated expansion of the Universe, reviving the interest for alternative theories of gravity. Adding a scalar degree of freedom to the usual metric of general relativity is one of the…

General Relativity and Quantum Cosmology · Physics 2018-10-11 Antoine Lehébel

It is demonstrated that gravity waves of a flowing fluid in a shallow basin can be used to simulate phenomena around black holes in the laboratory. Since the speed of the gravity waves as well as their high-wavenumber dispersion (subluminal…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ralf Schützhold , William G. Unruh

Assessing the stability of higher-dimensional rotating black holes requires a study of linearized gravitational perturbations around such backgrounds. We study perturbations of Myers-Perry black holes with equal angular momenta in an odd…

High Energy Physics - Theory · Physics 2009-05-29 Hari K. Kunduri , James Lucietti , Harvey S. Reall