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In this paper we show that a recent attempt to derive dark energy as an entropic force suffers from the same problems as earlier attempts motivated by holography. The possible remedy is again the introduction of source terms.

High Energy Physics - Theory · Physics 2010-03-04 Ulf H. Danielsson

We consider equations of modified gravity involving critical accelerations and find its solutions for the point-like source by suggesting the appropriate symmetry of metrics in the empty space-time.

General Physics · Physics 2019-11-28 Ja. V. Balitsky , V. V. Kiselev

Source extension is a reformulation of inverse problems in wave propagation, that at least in some cases leads to computationally tractable iterative solution methods. The core subproblem in all source extension methods is the solution of a…

Numerical Analysis · Mathematics 2022-04-01 William W. Symes

We semianalytically investigate the scalar self-force experienced in the final stages of extreme mass ratio inspirals of nonspinning scalar particles into supermassive nearly extremal Kerr black holes. We exploit the near-horizon conformal…

General Relativity and Quantum Cosmology · Physics 2020-04-07 Geoffrey Compère , Kwinten Fransen , Thomas Hertog , Yan Liu

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

A scalar charged particle moving in a curved background spacetime will emit a field affecting its own motion; the resolving of this resulting motion is often referred to as the self-force problem. This also serves as a toy model for the…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Anna Heffernan

This paper presents the first calculation of the gravitational self-force on a small compact object on an eccentric equatorial orbit around a Kerr black hole to first order in the mass-ratio. That is the pointwise correction to the object's…

General Relativity and Quantum Cosmology · Physics 2016-08-24 Maarten van de Meent

The growing reality of gravitational wave astronomy is giving age-old problems a new lease of life; one such problem is that of the self-force. A charged or massive particle moving in a curved background space-time produces a field that…

General Relativity and Quantum Cosmology · Physics 2014-03-26 Anna Heffernan

We offer a novel derivation of the electromagnetic self-force acting on a charged particle moving in an arbitrary curved spacetime. Our derivation is based on a generalization from flat spacetime to curved spacetime of the extended-body…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Javier Molina Sanchez , Eric Poisson

We derive the gravitational field and the spacetime metric generated by sources in quantum superposition of different locations. We start by working in a Newtonian approximation, in which the effective gravitational potential is computed as…

General Relativity and Quantum Cosmology · Physics 2022-11-04 Ali Akil , Mariano Cadoni , Leonardo Modesto , Mauro Oi , Andrea Pierfrancesco Sanna

We explore a recently proposed effective field theory describing electromagnetically or gravitationally interacting massive particles in an expansion about their mass ratio, also known as the self-force (SF) expansion. By integrating out…

High Energy Physics - Theory · Physics 2024-10-04 Clifford Cheung , Julio Parra-Martinez , Ira Z. Rothstein , Nabha Shah , Jordan Wilson-Gerow

The statistics of a passive scalar randomly emitted from a point source is investigated analytically. Our attention has been focused on the two-point equal-time scalar correlation function. The latter is indeed easily related to the…

Chaotic Dynamics · Physics 2009-11-13 Antonio Celani , Marco Martins Afonso , Andrea Mazzino

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

Gravitational waves from the inspiral of a stellar-size black hole to a supermassive black hole can be accurately approximated by a point particle moving in a Kerr background. This paper presents progress on finding the electromagnetic and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Tobias S. Keidl , John L. Friedman , Alan G. Wiseman

We study the problem of self-energy of pointlike charges in higher dimensional static spacetimes. Their energy, as a functional of the spacetime metric, is invariant under a specific continuous transformation of the metric. We show that the…

High Energy Physics - Theory · Physics 2015-06-05 Valeri P. Frolov , Andrei Zelnikov

In this article, we derive source integrals for multipole moments in axially symmetric and static spacetimes. The multipole moments can be read off the asymptotics of the metric close to spatial infinity in a hypersurface, which is…

General Relativity and Quantum Cosmology · Physics 2012-07-20 Norman Gürlebeck

The wave function $\psi$ is interpreted as charge density, or charge distribution, at each point in space. This is a physical interpretation of $\psi$. The notion of speed can be associated with $\psi$, which leads to the concept of…

General Physics · Physics 2007-05-23 Koen J. van Vlaenderen

We consider the self-potential and the self-force for an electrically charged particle at rest in the massive wormhole space-time. We develop general approach for the renormalization of electromagnetic field of such particle in the static…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Nail R. Khusnutdinov , Arkadii A. Popov , Lilia N. Lipatova

A formulation of classical electrodynamics on an energy-momentum background of constant, non-zero curvature is given. The procedure consists of taking the formulation of standard electrodynamics in the energy-momentum representation, and…

General Physics · Physics 2020-01-01 Boris Ivetić

We study the problem of self-energy of charges in higher dimensional static spacetimes. Application of regularization methods of quantum field theory to calculation of the classical self-energy of charges leads to model-independent results.…

High Energy Physics - Theory · Physics 2015-06-04 Valeri P. Frolov , Andrei Zelnikov