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Second-order gravitational self-force theory has recently led to the breakthrough calculation of ``first post-adiabatic'' (1PA) compact-binary waveforms [Phys. Rev. Lett. 130, 241402 (2023)]. The computations underlying those waveforms…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Jeremy Miller , Benjamin Leather , Adam Pound , Niels Warburton

We present a procedure that allows the construction of the metric perturbations and electromagnetic four-potential, for gravitational and electromagnetic perturbations produced by sources in Kerr spacetime. This may include, for example,…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Amos Ori

The quantization of linearized gravity on black hole spacetimes and the construction of states for that theory is a sought-after, yet difficult achievement. One of the main reasons is the difficulty of reconciling the positivity and gauge…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Christiane K. M. Klein

Self-force theory is the leading method of modeling extreme-mass-ratio inspirals (EMRIs), key sources for the gravitational-wave detector LISA. It is well known that for an accurate EMRI model, second-order self-force effects are critical,…

General Relativity and Quantum Cosmology · Physics 2020-01-22 Adam Pound , Barry Wardell , Niels Warburton , Jeremy Miller

This paper reviews the basic features of the theory of curvature perturbations in Kerr spacetime, which is customarily written in terms of gauge invariant components of the Weyl tensor which satisfy a perturbation equation known as the…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Ramon Lopez-Aleman

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

The traditional effective-source method is hampered by complex analytical expressions and the inherent smoothness limit, which incur high computational costs and complicate implementation. To overcome these limitations, we introduce the…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Chao Zhang , Yungui Gong , Xuchen Lu , Wenting Zhou

We analytically compute, through the six-and-a-half post-Newtonian order, the second-order-in-eccentricity piece of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in eccentric orbit around a Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Donato Bini , Thibault Damour , Andrea Geralico

We raise the analytical knowledge of the eccentricity-expansion of the Detweiler-Barack-Sago redshift invariant in a Schwarzschild spacetime up to the 9.5th post-Newtonian order (included) for the $e^2$ and $e^4$ contributions, and up to…

General Relativity and Quantum Cosmology · Physics 2016-05-18 Donato Bini , Thibault Damour , Andrea Geralico

We compute the electromagnetic self-force acting on a charged particle held in place at a fixed position r outside a five-dimensional black hole described by the Schwarzschild-Tangherlini metric. Using a spherical-harmonic decomposition of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Matthew J. S. Beach , Eric Poisson , Bernhard G. Nickel

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

Motivated by the desire to understand the leading order nonlinear gravitational wave interactions around arbitrarily rapidly rotating Kerr black holes, we describe a numerical code designed to compute second order vacuum perturbations on…

General Relativity and Quantum Cosmology · Physics 2021-05-26 Justin L. Ripley , Nicholas Loutrel , Elena Giorgi , Frans Pretorius

We present an expression for the gravitational self-force correction to the geodetic spin precession of a spinning compact object with small, but non-negligible mass in a bound, equatorial orbit around a Kerr black hole. We consider only…

General Relativity and Quantum Cosmology · Physics 2017-09-15 Sarp Akcay

We present a fourth order convergent (2+1) numerical code to solve the Teukolsky equation in the time domain. Our approach is to rewrite the Teukolsky equation as a system of first order differential equations. In this way we get a system…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Enrique Pazos-Avalos , Carlos O. Lousto

We compute the first-order self-force contribution to Detweiler's redshift invariant for extended bodies endowed with both dipolar and quadrupolar structure (with spin-induced quadrupole moment) moving along circular orbits on a…

General Relativity and Quantum Cosmology · Physics 2020-08-05 Donato Bini , Andrea Geralico , Jan Steinhoff

We propose an approach for the calculation of self-forces, energy fluxes and waveforms arising from moving point charges in curved spacetimes. As opposed to mode-sum schemes that regularize the self-force derived from the singular retarded…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Ian Vega , Steven Detweiler

Gravitational redshift is being generally calculated without considering the rotation of a body. Neglecting the rotation, the geometry of space time can be described by using the spherically symmetric Schwarzschild geometry. Rotation has…

General Relativity and Quantum Cosmology · Physics 2013-10-04 Anuj Kumar Dubey , Asoke Kumar Sen

The (first-order) gravitational self-force correction to the spin-orbit precession of a spinning compact body along a slightly eccentric orbit around a Schwarzschild black hole is computed through the ninth post-Newtonian order, improving…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Donato Bini , Thibault Damour , Andrea Geralico

This paper presents results for the innermost stable circular orbit in a Kerr-like spacetime. The metric employed is an approximation that combines the Kerr metric with the Erez-Rosen metric, expanded in a Taylor series. Consequently, this…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Fabián Chaverri-Miranda , Francisco Frutos-Alfaro , Diego Solano-Alfaro , Pedro Gómez-Ovares , André Oliva

We present analytic calculations of gravitational waves from a particle orbiting a black hole. We first review the Teukolsky formalism for dealing with the gravitational perturbation of a black hole. Then we develop a systematic method to…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasushi Mino , Misao Sasaki , Masaru Shibata , Hideyuki Tagoshi , Takahiro Tanaka