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Exploiting simple yet remarkable properties of relativistic gravitational scattering, we use first-order self-force (linear-in-mass-ratio) results to obtain arbitrary-mass-ratio results for the complete third-subleading post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Andrea Antonelli , Chris Kavanagh , Mohammed Khalil , Jan Steinhoff , Justin Vines

The gravitational-wave signals emitted by Extreme-Mass-Ratio Inspirals will be hidden in the instrumental LISA noise and the foreground noise produced by galactic binaries in the LISA band. Then, we need accurate gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2010-10-01 Priscilla Canizares , Carlos F. Sopuerta

We investigate bound and periodic timelike geodesics and their associated gravitational-wave (GW) signatures in the spacetime of a regular black hole arising in asymptotically safe gravity (ASG). The geometry incorporates quantum…

General Relativity and Quantum Cosmology · Physics 2026-05-11 Arun Kumar , Abolhassan Mohammadi , Sushant G. Ghosh

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

Vacuum perturbations of the Kerr metric can be reconstructed from the corresponding perturbation in either of the two Weyl scalars $\psi_0$ or $\psi_4$, using a procedure described by Chrzanowski and others in the 1970s. More recent work,…

General Relativity and Quantum Cosmology · Physics 2016-12-06 Cesar Merlin , Amos Ori , Leor Barack , Adam Pound , Maarten van de Meent

The article deals with the gravitational energy associated with axial perturbations of regular black holes. We review the stability of the geometry under odd-parity perturbations and the corresponding quasinormal modes, previously obtained…

General Relativity and Quantum Cosmology · Physics 2026-02-10 S. C. Ulhoa , F. L. Carneiro , B. C. C. Carneiro

We analytically compute, through the eight-and-a-half post-Newtonian order and the fourth-order in spin, the gravitational self-force correction to Detweiler's gauge invariant redshift function for a small mass in circular orbit around a…

General Relativity and Quantum Cosmology · Physics 2016-05-09 Donato Bini , Thibault Damour , Andrea Geralico

We consider a Kerr black hole acting as a gravitational deflector within the geometrical optics, and point source approximations. The Kerr black hole gravitational lens geometry consisting of an observer and a source located far away and…

General Relativity and Quantum Cosmology · Physics 2010-11-11 Samuel E. Vázquez , Ernesto P. Esteban

The Hamiltonian formulation of the teleparallel equivalent of general relativity is considered. Definitions of energy, momentum and angular momentum of the gravitational field arise from the integral form of the constraint equations of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 J. W. Maluf , J. F. da Rocha-Neto , T. M. L. Toribio , K. H. Castello-Branco

We revisit the problem of computing the self-force on a scalar charge moving along an eccentric geodesic orbit around a Schwarzschild black hole. This work extends previous scalar self-force calculations for circular orbits, which were…

General Relativity and Quantum Cosmology · Physics 2013-11-06 Ian Vega , Barry Wardell , Peter Diener , Samuel Cupp , Roland Haas

We present a method for calculating the self-force (the ``radiation reaction force'') acting on a charged particle moving in a strong field orbit in black hole spacetime. In this approach, one first calculates the contribution to the…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Leor Barack , Amos Ori

Using the Teukolsky and Sasaki-Nakamura equations for the gravitational perturbation of the Kerr spacetime, we calculate the post-Newtonian expansion of the energy and angular momentum luminosities of gravitational waves from a test…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Masaru Shibata , Misao Sasaki , Hideyuki Tagoshi , Takahiro Tanaka

We present a general relativistic framework for studying gravitational effects in quantum mechanical phenomena. We concentrate our attention on the case of ultra-relativistic, spin-1/2 particles propagating in Kerr spacetime. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kohkichi Konno , Masumi Kasai

We present results from calculations of the orbital evolution in eccentric binaries of nonrotating black holes with extreme mass-ratios. Our inspiral model is based on the method of osculating geodesics, and is the first to incorporate the…

General Relativity and Quantum Cosmology · Physics 2013-12-11 Niels Warburton , Sarp Akcay , Leor Barack , Jonathan R. Gair , Norichika Sago

This short paper should serve as basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main new result is the proof of essential…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Horst R. Beyer

In the standard Einstein's theory the exterior gravitational field of any static and axially symmetric stellar object can be described by means of a single function from which we obtain a metric into a four-dimensional space-time. In this…

General Relativity and Quantum Cosmology · Physics 2024-02-19 J. L. Hernández-Pastora

We present the first orbit-integrated self force effects for an IMRI or EMRI source, specifically the effects of its conservative piece on the orbit and on the waveform. We consider the quasi-circular motion of a particle in the spacetime…

General Relativity and Quantum Cosmology · Physics 2012-07-13 Lior M. Burko , Kristen A. Lackeos

Recently the non-local gravity theory has come out to be a good candidate for an effective field theory of quantum gravity and also it can provide rich phenomenology to understand late-time accelerating expansion of the universe. For any…

General Relativity and Quantum Cosmology · Physics 2019-08-23 Utkarsh Kumar , Sukanta Panda , Avani Patel

Motivated by the discovery of floating orbits and the potential to provide extra constraints on alternative theories, in this paper we derive the self-force equation for a small compact object moving on an accelerated world line in a…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Peter Zimmerman

Continuing our analytic computation of the first-order self-force contribution to the "geodetic" spin precession frequency of a small spinning body orbiting a large (non-spinning) body we provide the exact expressions of the tenth and…

General Relativity and Quantum Cosmology · Physics 2015-04-01 Donato Bini , Thibault Damour