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Related papers: Metric Reconstruction for Generic Black-Hole Pertu…

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The linear perturbation of the Kerr black hole has been discussed by using the Newman--Penrose and the perturbed Weyl scalars, $\psi_0$ and $\psi_4$ can be obtained from the Teukolsky equation. In order to obtain the other Weyl scalars and…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Yasumichi Sano , Hideyuki Tagoshi

We compute the tensorial perturbations to a general spherically symmetric metric in d dimensions with string-theoretical corrections quadratic in the Riemann tensor, from which we derive their respective potential. We use this result to…

High Energy Physics - Theory · Physics 2013-03-14 Filipe Moura

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

We present a first numerical implementation of a new scheme by Pound et al. that enables the calculation of the gravitational self-force in Kerr spacetime from a reconstructed metric-perturbation in a radiation gauge. The numerical task of…

General Relativity and Quantum Cosmology · Physics 2015-08-10 Cesar Merlin , Abhay G. Shah

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Yu. F. Pirogov , O. V. Zenin

In order to derive the precise gravitational waveforms for extreme mass ratio inspirals (EMRI), we develop a formulation for the second order metric perturbations produced by a point particle moving in the Schwarzschild spacetime. The…

General Relativity and Quantum Cosmology · Physics 2008-12-25 Carlos O. Lousto , Hiroyuki Nakano

Modified theories of gravity are often built such that they contain general relativity as a limiting case. This inclusion property implies that the Kerr metric is common to many families of theories. For example, all analytic $f(R)$…

General Relativity and Quantum Cosmology · Physics 2019-06-26 Arthur G Suvorov

In this paper, we present a detailed analysis of first-order perturbations of the Kerr metric in the slow-rotation limit. We perform the calculation by perturbing the Schwarzschild metric plus up to second-order corrections in the spin in…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Nicola Franchini

We develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy ratio and the deviation of metric functions from a given form,…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Kirill Kobialko , Dmitri Gal'tsov

We investigate a complete family of spacetimes which represent black holes with rotation, NUT twist, acceleration, electric and magnetic charges. These are exact solutions of the Einstein-Maxwell equations with any cosmological constant,…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Hryhorii Ovcharenko , Jiri Podolsky , Marco Astorino

No Kerr-like exact solution has yet been found in Chern-Simons modified gravity. Intrigued by this absence, we study stationary and axisymmetric metrics that could represent the exterior field of spinning black holes. For the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Daniel Grumiller , Nicolas Yunes

We construct a sort of regular black holes with a sub-Planckian Kretschmann scalar curvature. The metric of this sort of regular black holes is characterized by an exponentially suppressing gravity potential as well as an asymptotically…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Yi Ling , Meng-He Wu

The geometrical meaning of the Eddington-Finkelstein coordinates of Schwarzschild spacetime is well understood: (i) the advanced-time coordinate v is constant on incoming light cones that converge toward r=0, (ii) the angles theta and phi…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Brent Preston , Eric Poisson

We study the radiative properties of a spherical and singularity-free black-hole geometry recently proposed in the literature. Contrary to the Schwarzschild spacetime, this geometry is geodesically complete and regular, and, instead of the…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Asier Alonso-Bardaji , David Brizuela , Marc Schneider

We describe in detail full numerical and perturbative techniques to compute the gravitational radiation from intermediate-mass-ratio black-hole-binary inspirals and mergers. We perform a series of full numerical simulations of nonspinning…

General Relativity and Quantum Cosmology · Physics 2010-12-23 Carlos O. Lousto , Hiroyuki Nakano , Yosef Zlochower , Manuela Campanelli

We present a novel approach to the numerical computation of quasi-normal modes, based on the first-order (in radial derivative) formulation of the equations of motion and using a matrix version of the continued fraction method. This…

General Relativity and Quantum Cosmology · Physics 2024-01-29 Hugo Roussille , David Langlois , Karim Noui

We utilize the gravitational decoupling via the extended geometric deformation to extend the Schwarzschild vacuum solution to new black holes in Rastall theory. By employing linear transformations that deform both the temporal and radial…

General Relativity and Quantum Cosmology · Physics 2025-04-08 M. Sharif , Malick Sallah

Thermodynamic metric usually works only for those black holes with more than one conserved charge, therefore the Schwarzschild black hole was excluded. In this letter, we compute and compare different versions of offshell thermodynamic…

General Relativity and Quantum Cosmology · Physics 2017-04-05 Wen-Yu Wen

Different astrophysical methods can be combined to detect possible deviations from General Relativity. In this work, we consider a class of $f(R)$ gravity models selected by the existence of Noether symmetries. In this framework, it is…

General Relativity and Quantum Cosmology · Physics 2023-06-07 Vittorio De Falco , Francesco Bajardi , Rocco D'Agostino , Micol Benetti , Salvatore Capozziello

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