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The metric perturbation induced by a particle in the Schwarzschild background is usually calculated in the Regge-Wheeler (RW) gauge, whereas the gravitational self-force is known to be given by the tail part of the metric perturbation in…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Norichika Sago , Hiroyuki Nakano , Misao Sasaki

We study the hydrodynamic self-similar mass collapses of general polytropic (GP) spherical clouds to central Schwarzschild black holes and void evolution with or without shocks. In order to grossly capture characteristic effects of general…

Solar and Stellar Astrophysics · Physics 2014-03-04 Biao Lian , Yu-Qing Lou

We compute the gravitational self-force (or ``radiation reaction'' force) acting on a particle falling radially into a Schwarzschild black hole. Our calculation is based on the ``mode-sum'' method, in which one first calculates the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 L. Barack , C. O. Lousto

Gravitational wave emission from extreme mass ratio binaries (EMRBs) should be detectable by the joint NASA-ESA LISA project, spurring interest in analytical and numerical methods for investigating EMRBs. We describe a discontinuous…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Scott E. Field , Jan S. Hesthaven , Stephen R. Lau

We investigate equatorial periodic orbits and their gravitational wave radiation in the spacetime of an Euler--Heisenberg (EH) black hole surrounded by perfect fluid dark matter (PFDM). The combined effects of quantum electrodynamic…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Dhruba Jyoti Gogoi , Jyatsnasree Bora , Ali Övgün

General relativistic force-free electrodynamics is one possible plasma-limit employed to analyze energetic outflows in which strong magnetic fields are dominant over all inertial phenomena. The amazing images of black hole shadows from the…

Computational Physics · Physics 2021-03-09 J. F. Mahlmann , M. A. Aloy , V. Mewes , P. Cerdá-Durán

We present results from a new code for computing gravitational perturbations of the Kerr geometry. This new code carefully maintains high precision to allow us to obtain high-accuracy solutions for the gravitational quasinormal modes of the…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Gregory B. Cook , Maxim Zalutskiy

Self-gravitational force calculation for infinitesimally thin disks is important for studies on the evolution of galactic and protoplanetary disks. Although high-order methods have been developed for hydrodynamic and magneto-hydrodynamic…

Instrumentation and Methods for Astrophysics · Physics 2019-06-05 Hsiang-Hsu Wang , Ming-Cheng Shiue , Rui-Zhu Wu , Chien-Chang Yen

Gravitational wave astrophysics has only just begun, and as current detectors are upgraded and new detectors are built, many new, albeit faint, features in the signals will become accessible. One such feature is the presence of…

General Relativity and Quantum Cosmology · Physics 2019-01-23 Katie Chamberlain , Christopher J. Moore , Davide Gerosa , Nicolas Yunes

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

Much of the success of gravitational-wave astronomy rests on perturbation theory. Historically, perturbative analysis of gravitational-wave sources has largely focused on post-Newtonian theory. However, strong-field perturbation theory is…

General Relativity and Quantum Cosmology · Physics 2024-01-26 Adam Pound , Barry Wardell

We investigate how GWs pass through the spacetime of a Schwarzschild black hole using time-domain numerical simulations. Our work is based on the perturbed 3+1 Einstein's equations up to the linear order. We show explicitly that our…

General Relativity and Quantum Cosmology · Physics 2022-12-29 Jian-hua He , Zhenyu Wu

Gravitational wave solutions to Einstein's equations and their generation are examined in D-dimensional flat spacetimes. First the plane wave solutions are analyzed; then the wave generation is studied with the solution for the metric…

High Energy Physics - Theory · Physics 2009-11-07 Vitor Cardoso , Oscar J. C. Dias , Jose' P. S. Lemos

The calculation of g-functions is essential for the design and simulation of geothermal boreholes. However, existing methods, such as the stacked finite line source (SFLS) model, face challenges regarding computational efficiency and…

Computational Physics · Physics 2025-08-18 Yue Yang , Xiaodong Yang , Chenhui Lin , Luo Xu , Qi Wang , Shuwei Xu , Wenchuan Wu

Black-hole ringdown offers a clean probe of strong gravity, but one of its most accurate tools--Leaver's continued-fraction method--requires a three-term recurrence relation. Beyond general relativity, and more generally in non-Kerr…

General Relativity and Quantum Cosmology · Physics 2026-04-22 Georgios Karikos , Jayana A. Saes , Pratik Wagle , Nicolás Yunes

Numerical simulations of extereme mass ratio inspirals, the mostimportant sources for the LISA detector, face several computational challenges. We present a new approach to evolving partial differential equations occurring in black hole…

Numerical Analysis · Mathematics 2021-02-09 Charalampos Markakis , Michael F. O'Boyle , Pablo D. Brubeck , Leor Barack

The orbital evolution of binary black hole (BBH) systems is determined by the component masses and spins of the black holes and the governing gravity theory. Gravitational wave (GW) signals from the evolution of BBH orbits offer an…

General Relativity and Quantum Cosmology · Physics 2025-07-30 Debtroy Das , Soumen Roy , Anand S. Sengupta , Cosimo Bambi

We discuss the gravitational self-force on a particle in a black hole space-time. For a point particle, the full (bare) self-force diverges. The metric perturbation induced by a particle can be divided into two parts, the direct part (or…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Wataru Hikida , Hiroyuki Nakano , Misao Sasaki

One simplified black hole model constructed from a semiclassical analysis of loop quantum gravity (LQG) is called self-dual black hole. This black hole solution depends on a free dimensionless parameter P known as the polymeric parameter…

General Relativity and Quantum Cosmology · Physics 2016-05-04 Victor Santos , R. V. Maluf , C. A. S. Almeida

The energy radiated (without the 1.5PN tail contribution which requires a different treatment) by a binary system of compact objects moving in a hyperboliclike orbit is computed in the frequency domain through the second post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2021-11-17 Donato Bini , Andrea Geralico