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We derive an analytic phenomenological expression that predicts the final mass of the black-hole remnant resulting from the merger of a generic binary system of black holes on quasi-circular orbits. Besides recovering the correct…

General Relativity and Quantum Cosmology · Physics 2014-04-17 Enrico Barausse , Viktoriya Morozova , Luciano Rezzolla

We obtain the electric field and scalar field for a static point charge in closed form in the 5D Schwarzschild-Tangherlini black hole spacetime. We then compute the static self-force in each of these cases by assuming that the appropriate…

General Relativity and Quantum Cosmology · Physics 2015-11-19 Peter Taylor , Éanna É. Flanagan

In this work, we re-assess a class of black hole solutions in a global monopole spacetime in the framework of an $f(R)$-gravity model. Our main line of investigation consists in considering a region close enough to the black hole, but such…

We compute the linear metric perturbation to a Schwarzschild black hole generated by a spinning compact object, specialising to circular equatorial orbits with an (anti-)aligned spin vector. We derive a two-timescale expansion of the field…

General Relativity and Quantum Cosmology · Physics 2022-05-04 Josh Mathews , Adam Pound , Barry Wardell

Several different methods have recently been proposed for calculating the motion of a point particle coupled to a linearized gravitational field on a curved background. These proposals are motivated by the hope that the point particle…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Theodore C. Quinn

The saddle point approximation of the path integral partition functions is an important way of deriving the thermodynamical properties of black holes. However, there are certain black hole models and some mathematically analog mechanical…

General Relativity and Quantum Cosmology · Physics 2015-11-11 Hugo A. Morales-Técotl , Daniel H. Orozco-Borunda , Saeed Rastgoo

Renormalization of physical quantities for quantum field theories in curved spacetimes can be achieved via the consistent subtraction of counterterms within a regularization scheme such as a point-splitting method. Pragmatic mode-sum…

General Relativity and Quantum Cosmology · Physics 2026-02-05 Noa Zilberman , Marc Casals , Adam Levi , Amos Ori , Adrian C. Ottewill

Eigenfunctions for normal modes of scalar fields in BTZ black hole spacetime are studied. Orthonormal relations among them are derived. Quantization for scalar fields is done and particle number, energy and angular momentum are expressed by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Kenmoku , M. Kuwata , K. Shigemoto

In this paper, we describe an extremely efficient method for computing the renormalized stress-energy tensor of a quantum scalar field in spherically-symmetric black hole spacetimes. The method applies to a scalar field with arbitrary field…

General Relativity and Quantum Cosmology · Physics 2022-10-04 Peter Taylor , Cormac Breen , Adrian Ottewill

In this paper we present an approach to compute analytical post-Minkowskian corrections to unbound two-body scattering in the self-force formalism. Our method relies on a further low-velocity (post-Newtonian) expansion of the motion. We…

General Relativity and Quantum Cosmology · Physics 2024-10-25 Donato Bini , Andrea Geralico , Chris Kavanagh , Adam Pound , Davide Usseglio

The rotating loop quantum gravity black hole is a newly proposed non-singular black hole, which eliminates spacetime singularities when a regularization parameter is introduced through loop quantum corrections. This parameter is expected to…

General Relativity and Quantum Cosmology · Physics 2024-07-23 Zhong-Wu Xia , Hao Yang , Yan-Gang Miao

In this paper, a massive scalar field non-minimally coupled with gravity is considered. Assuming a regular and spherically symmetric background, specifically a regular black hole solution, the energy-momentum tensor is calculated. Using the…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Jhonny A. A. Ruiz , A. F. Santos

We obtain an approximate solution for the motion of a charged particle around a Schwarzschild black hole immersed in a weak dipolar magnetic field. We focus on eccentric bound orbits in the equatorial plane of the Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Demetrios B. Papadopoulos , Ioannis Contopoulos , Kostas D. Kokkotas , Nikolaos Stergioulas

In this paper we define the radiation field for the wave equation on the Schwarzschild black hole spacetime. In this context it has two components: the rescaled restriction of the time derivative of a solution to null infinity and to the…

Analysis of PDEs · Mathematics 2015-06-16 Dean Baskin , Fang Wang

The gravitational self-force acting on a particle orbiting a massive central body has thus far been computed for vacuum spacetimes involving a black hole. In this work we continue an ongoing effort to study the self-force in nonvacuum…

General Relativity and Quantum Cosmology · Physics 2016-04-13 Soichiro Isoyama , Raissa F. P. Mendes , Eric Poisson

A method is presented which allows for the renormalization of the self-potential for a scalar point charge at rest in static curved space-time. The method is suitable for the scalar field with arbitrary mass $m$ and coupling to the scalar…

General Relativity and Quantum Cosmology · Physics 2011-11-16 Arkady A. Popov

For a particle of mass mu and scalar charge q, we compute the effects of the scalar field self-force upon circular orbits, upon slightly eccentric orbits and upon the innermost stable circular orbit of a Schwarzschild black hole of mass M.…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luz Maria Diaz-Rivera , Eirini Messaritaki , Bernard F. Whiting , Steven Detweiler

In many astrophysically relevant situations radiation reaction force acting upon a charge can not be neglected and the question arises about the location and stability of circular orbits in such regime. Motion of point charge with radiation…

General Relativity and Quantum Cosmology · Physics 2019-01-24 Arman Tursunov , Martin Kološ , Zdeněk Stuchlík , Dmitri V. Gal'tsov

In this, the first of two companion papers, we present a method for finding the gravitational self-force in a modified radiation gauge for a particle moving on a geodesic in a Schwarzschild or Kerr spacetime. An extension of an earlier…

General Relativity and Quantum Cosmology · Physics 2014-10-23 Tobias S. Keidl , Abhay G. Shah , John L. Friedman , Dong-Hoon Kim , Larry R. Price

We compute the self-force acting on an electric charge at rest in Schwarzschild-de Sitter spacetimes, allowing the cosmological constant to be either positive or negative. In the case of a positive cosmological constant, we show that the…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Joseph Kuchar , Eric Poisson , Ian Vega