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This is the first of two papers on computing the self-force in a radiation gauge for a particle moving in circular, equatorial orbit about a Kerr black hole. In the EMRI (extreme-mass-ratio inspiral) framework, with mode-sum…

General Relativity and Quantum Cosmology · Physics 2013-09-17 Abhay G. Shah , John L. Friedman , Tobias S. Keidl

We present a holographic construction of solutions to the gravitational wave equation starting from QFT scattering amplitudes. The construction amounts to a change of basis from momentum to $(2,2)$ twistor space, together with a recently…

High Energy Physics - Theory · Physics 2021-12-10 Alfredo Guevara

The method of simple straightforward calculation of the curvature tensor of the Finsleroid--regular space is indicated. The Schwarzschild metric which underlines the gravitational field produced by static spherical-symmetric body is shown…

Mathematical Physics · Physics 2007-12-05 G. S. Asanov

We investigate the gravitational scattering of a spinning probe mass in a Kerr background using the worldline quantum field theory (WQFT) approach. This corresponds to the leading term (0SF) in the gravitational self-force expansion for the…

High Energy Physics - Theory · Physics 2025-07-14 Jitze Hoogeveen , Gustav Uhre Jakobsen , Jan Plefka

We present in detail the geometric framework necessary to understand the Teukolsky equation and we develop in particular the case of Kerr spacetime.

Analysis of PDEs · Mathematics 2021-11-08 Pascal Millet

We propose an adaptation of the Kerr-Schild method by implementing the correspondence relations (mapping) between Ricci-based Gravity (RBG) and General Relativity (GR). Basically, we generate GR known solutions from a canonical metric with…

General Relativity and Quantum Cosmology · Physics 2023-04-03 Jonas Pinheiro da Silva

Perturbations of Kerr spacetime are typically studied with the Teukolsky formalism, in which a pair of invariant components of the perturbed Weyl tensor are expressed in terms of separable modes that satisfy ordinary differential equations.…

General Relativity and Quantum Cosmology · Physics 2022-04-13 Sam R. Dolan , Chris Kavanagh , Barry Wardell

We perform a detailed study of the geodesic equations in the spacetime of the static and rotating charged black hole corresponding to the Kerr-Newman-(A)dS spacetime. We derive the equations of motion for test particles and light rays and…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Saheb Soroushfar , Reza Saffari , Sobhan Kazempour , Saskia Grunau , Jutta Kunz

We examine quantum corrections of time delay arising in the gravitational field of a spinning oblate source. Low-energy quantum effects occurring in Kerr geometry are derived within a framework where general relativity is fully seen as an…

It has been recently shown in [Phys. Rev. Lett. 125 (2020) 041302] that microstate counting carried out for quantum states residing on the horizon of a black hole leads to a correction of the form $\exp(-A/4l_p^2)$ in the Bekenstein-Hawking…

High Energy Physics - Theory · Physics 2024-05-10 Soham Sen , Ashis Saha , Sunandan Gangopadhyay

Time-domain (TD) Bayesian inference is important in ringdown analysis for gravitational wave (GW) astronomy. The validity of this method has been well studied by Isi and Farr [1]. Using GW190521 as an example, we study the TD method in…

General Relativity and Quantum Cosmology · Physics 2024-09-04 Hai-Tian Wang , Lijing Shao

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. It is known that the metric perturbation induced by a particle can be divided into two parts, the…

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

The gravitational waves emitted by binary systems with extreme-mass ratios carry unique astrophysical information that can only be detected by space-based detectors like eLISA. To that end, a very accurate modelling of the system is…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Priscilla Canizares , Carlos F. Sopuerta

The study of the electrodynamics of static, axisymmetric and force-free Kerr magnetospheres relies vastly on solutions of the so called relativistic Grad-Shafranov equation (GSE). Different numerical approaches to the solution of the GSE…

High Energy Astrophysical Phenomena · Physics 2018-05-08 J. F. Mahlmann , P. Cerdá-Durán , M. A. Aloy

Building on recent approaches, we develop an effective field theory for the interaction of spinning particles modeling Kerr black holes within the gravitational self-force expansion. To incorporate dimensional regularization into this…

High Energy Physics - Theory · Physics 2025-10-09 Dogan Akpinar , Vittorio del Duca , Riccardo Gonzo

We construct a new rotating solution of Einstein's theory in vacuum by exploiting the Lie point symmetries of the field equations in the complex potential formalism of Ernst. In particular, we perform a discrete symmetry transformation,…

General Relativity and Quantum Cosmology · Physics 2025-11-20 José Barrientos , Adolfo Cisterna , Mokhtar Hassaine , Keanu Müller , Konstantinos Pallikaris

In the context of the Hamiltonian formulation of the teleparallel equivalent of general relativity we compute the gravitational energy of Kerr and Kerr Anti-de Sitter (Kerr-AdS) space-times. The present calculation is carried out by means…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. F. da Rocha-Neto , K. H. Castello-Branco

The perturbation equation in a Kerr background is written as a coupled system of one dimensional equations for the different modes in the time domain. Numerical simulations show that the dominant mode in the gravitational response is the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Darío Núñez , Juan Carlos Degollado , Carlos Palenzuela

If a small "particle" of mass $\mu M$ (with $\mu \ll 1$) orbits a black hole of mass $M$, the leading-order radiation-reaction effect is an $\mathcal{O}(\mu^2)$ "self-force" acting on the particle, with a corresponding $\mathcal{O}(\mu)$…

General Relativity and Quantum Cosmology · Physics 2017-05-03 Jonathan Thornburg , Barry Wardell

For a self-gravitating particle of mass \mu in orbit around a Kerr black hole of mass M >> \mu, we compute the O(\mu/M) shift in the frequency of the innermost stable circular equatorial orbit (ISCEO) due to the conservative piece of the…

General Relativity and Quantum Cosmology · Physics 2014-10-21 Soichiro Isoyama , Leor Barack , Sam R. Dolan , Alexandre Le Tiec , Hiroyuki Nakano , Abhay G. Shah , Takahiro Tanaka , Niels Warburton