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A relativistic model for the emission of gravitational waves from an initially unperturbed Schwarzschild black hole, or spherical collapsing configuration, is completely integrated. The model consists basically of gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. C. Lima , I. Damião Soares

A Regge--Wheeler analysis is performed for a novel black hole mimicker `the regular black hole with asymptotically Minkowski core', followed by an approximation of the permitted quasi-normal modes for propagating waveforms. A first-order…

General Relativity and Quantum Cosmology · Physics 2021-10-06 Alex Simpson

According to general relativity, black holes are incomplete, which prevents developing a complete physical description of their dynamical formation and evolution once quantum effects are taken into account. Theories beyond general…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Raúl Carballo-Rubio

Gravitational waves emitted by distorted black holes---such as those arising from the coalescence of two neutron stars or black holes---carry not only information about the corresponding spacetime but also about the underlying theory of…

General Relativity and Quantum Cosmology · Physics 2020-11-05 Jose Luis Blázquez-Salcedo , Caio F. B. Macedo , Vitor Cardoso , Valeria Ferrari , Leonardo Gualtieri , Fech Scen Khoo , Jutta Kunz , Paolo Pani

We generalize the Chern-Simons modified gravity to the metric-affine case and impose projective invariance by supplementing the Pontryagin density with homothetic curvature terms which do not spoil topologicity. The latter is then broken by…

General Relativity and Quantum Cosmology · Physics 2022-05-20 Simon Boudet , Flavio Bombacigno , Gonzalo J. Olmo , Paulo J. Porfirio

We present a new method for the calculation of black hole perturbations induced by extended sources in which the solution of the nonlinear hydrodynamics equations is coupled to a perturbative method based on Regge-Wheeler/Zerilli and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Valeria Ferrari , Leonardo Gualtieri , Luciano Rezzolla

Gravitational waves are one of the most important diagnostic tools in the analysis of strong-gravity dynamics and have been turned into an observational channel with LIGO's detection of GW150914. Aside from their importance in astrophysics,…

General Relativity and Quantum Cosmology · Physics 2017-01-18 William G. Cook , Ulrich Sperhake

Quasi-normal modes (QNMs) uniquely characterize the final black-hole. Till now, only the QNM frequency and damping time are used to test General relativity. In this work, we show explicitly that another property of the QNMs --- their…

General Relativity and Quantum Cosmology · Physics 2019-07-24 Soham Bhattacharyya , S. Shankaranarayanan

The gravitational waves emitted in the ringdown phase of binary black-hole coalescence are a unique probe of strong gravity. Understanding how deviations from general relativity affect the ringdown phase of black holes, however, is…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Adrian Ka-Wai Chung , Nicolas Yunes

Pulsar timing arrays are sensitive to gravitational wave perturbations produced by individual supermassive black hole binaries during their early inspiral phase. Modified gravity theories allow for the emission of gravitational dipole…

General Relativity and Quantum Cosmology · Physics 2019-07-03 Logan O'Beirne , Neil J. Cornish , Sarah J. Vigeland , Stephen R. Taylor

We investigate higher than the first order gravitational perturbations in the Newman-Penrose formalism. Equations for the Weyl scalar $\psi_4,$ representing outgoing gravitational radiation, can be uncoupled into a single wave equation to…

General Relativity and Quantum Cosmology · Physics 2016-08-25 M. Campanelli , C. O. Lousto

We discuss linearized gravitational perturbations of higher dimensional spacetimes. For algebraically special spacetimes (e.g. Myers-Perry black holes), we show that there exist local gauge invariant quantities linear in the metric…

General Relativity and Quantum Cosmology · Physics 2011-02-01 Mark Durkee , Harvey S. Reall

The study of periodic orbits in extreme-mass-ratio inspirals is essential for understanding the dynamics of small bodies orbiting supermassive black holes. In this paper, we study the periodic orbits and their corresponding gravitational…

General Relativity and Quantum Cosmology · Physics 2026-04-07 Shuo Lu , Hao-Jie Lin , Tao Zhu , Yu-Xiao Liu , Xin Zhang

We investigate the quasinormal modes of several families of higher-dimensional regular black holes arising in gravitational theories that incorporate an infinite tower of higher-curvature corrections to Einstein gravity. Our analysis…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Juan Pablo Arbelaez

We study the wave equations with the various spins on the background of the Kerr metric deformed by a function of the radial coordinate, on which background we have studied the gravitational-wave equations previously. We obtain the unified…

General Relativity and Quantum Cosmology · Physics 2024-12-25 Hiroaki Nakajima , Ya Guo , Wenbin Lin

We present a theory-agnostic framework to search for extra-fundamental modes in the ringdown phase of black hole mergers. These modes, distinct from standard General Relativity (GR) deviations, originate from modifications of the theory of…

General Relativity and Quantum Cosmology · Physics 2025-10-29 Francesco Crescimbeni

The existence of black holes in the Universe is nowadays established on the grounds of a blench of astrophysical observations, most notably those of gravitational waves from binary mergers and the imaging of supermassive objects at the…

General Relativity and Quantum Cosmology · Physics 2025-06-24 Haroldo C. D. Lima Junior , Renan B. Magalhães , Gonzalo J. Olmo , Diego Rubiera-Garcia

This thesis operates within the framework of general relativity without curvature singularities. The motivation for this framework is explored, and several conclusions are drawn with a look towards future research. There are many ways to…

General Relativity and Quantum Cosmology · Physics 2023-04-18 Alex Simpson

The theory of gauge-invariant non-spherical metric perturbations of Schwarzschild black hole spacetimes is now well established. Yet, as different notations and conventions have been used throughout the years, the literature on the subject…

General Relativity and Quantum Cosmology · Physics 2020-09-08 Alessandro Nagar , Luciano Rezzolla

In any extension of General Relativity (GR), extra fundamental degrees of freedom couple to gravity. Besides deforming GR forecasts in a theory-dependent way, this coupling generically introduces extra modes in the gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Francesco Crescimbeni , Xisco Jimenez Forteza , Swetha Bhagwat , Julian Westerweck , Paolo Pani
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