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This is the second in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a…

General Relativity and Quantum Cosmology · Physics 2011-10-06 Sam R. Dolan , Barry Wardell , Leor Barack

This is the third in a series of papers aimed at developing a practical time-domain method for self-force calculations in Kerr spacetime. The key elements of the method are (i) removal of a singular part of the perturbation field with a…

General Relativity and Quantum Cosmology · Physics 2013-05-13 Sam R. Dolan , Leor Barack

We present a new, simple method for calculating the scalar, electromagnetic, and gravitational self forces acting on particles in orbit around a Kerr black hole. The standard ``mode-sum regularization'' approach for self-force calculations…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Leor Barack , Darren A. Golbourn , Norichika Sago

We formulate a new analytical method for regularizing the self-force acting on a particle of small mass $\mu$ orbiting a black hole of mass $M$, where $\mu\ll M$. At first order in $\mu$, the geometry is perturbed and the motion of the…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Wataru Hikida , Sanjay Jhingan , Hiroyuki Nakano , Norichika Sago , Misao Sasaki , Takahiro Tanaka

We examine the motion in Schwarzschild spacetime of a point particle endowed with a scalar charge. The particle produces a retarded scalar field which interacts with the particle and influences its motion via the action of a self-force. We…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Roland Haas , Eric Poisson

The self-force is the leading method in modelling waveforms for extreme mass ratio inspirals, a key target of ESA's future space-based gravitational wave detector LISA. In modelling these systems, one approximates the smaller body as a…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Anna Heffernan

Recently, we proposed a method for calculating the ``radiation reaction'' self-force exerted on a charged particle moving in a strong field orbit in a black hole spacetime. In this approach, one first calculates the contribution to the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Leor Barack

We propose a practical scheme for calculating the local gravitational self-force experienced by a test mass particle moving in a black hole spacetime. The method---equally effective for either weak or strong field orbits---employs the {\em…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Leor Barack

If a small "particle" of mass $\mu M$ (with $\mu \ll 1$) orbits a Schwarzschild or Kerr black hole of mass $M$, the particle is subject to an $\O(\mu)$ radiation-reaction "self-force". Here I argue that it's valuable to compute this…

General Relativity and Quantum Cosmology · Physics 2010-06-21 Jonathan Thornburg

We outline a method for calculating the self force (the "radiation reaction force") acting on a scalar particle in a strong field orbit in a Schwarzschild spacetime. In this method, the contribution to the self force associated with each…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Leor Barack , Amos Ori

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

We present a practical method for calculating the local gravitational self-force (often called ``radiation-reaction force'') for a pointlike particle orbiting a Schwarzschild black hole. This is an implementation of the method of {\it…

General Relativity and Quantum Cosmology · Physics 2009-10-09 Leor Barack , Yasushi Mino , Hiroyuki Nakano , Amos Ori , Misao Sasaki

We present a calculation of the scalar field self-force (SSF) acting on a scalar-charge particle in a strong-field orbit around a Kerr black hole. Our calculation specializes to circular and equatorial geodesic orbits. The analysis is an…

General Relativity and Quantum Cosmology · Physics 2015-06-30 Niels Warburton , Leor Barack

We calculate the singular field of an accelerated point particle (scalar charge, electric charge or small gravitating mass) moving on an accelerated (non-geodesic) trajectory in a generic background spacetime. Using a mode-sum…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Thomas M. Linz , John L. Friedman , Alan G. Wiseman

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

The foundations are laid for the numerical computation of the actual worldline for a particle orbiting a black hole and emitting gravitational waves. The essential practicalities of this computation are here illustrated for a scalar…

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

The equations of motion of a point particle interacting with its own field are defined in terms of a certain regularized self-field. Two of the leading methods for computing this regularized field are the mode-sum and effective-source…

General Relativity and Quantum Cosmology · Physics 2014-10-28 Niels Warburton , Barry Wardell

We derive the explicit values of all regularization parameters (RP) for a scalar particle in an arbitrary geodesic orbit around a Schwarzschild black hole. These RP are required within the previously introduced mode-sum method, for…

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

This review is concerned with the gravitational self-force acting on a mass particle in orbit around a large black hole. Renewed interest in this old problem is driven by the prospects of detecting gravitational waves from strongly…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Leor Barack

In a previous paper, we computed expressions for the Detweiler-Whiting singular field of point scalar, electromagnetic and gravitational charges following a geodesic of the Schwarzschild spacetime. We now extend this to the case of…

General Relativity and Quantum Cosmology · Physics 2014-01-29 Anna Heffernan , Adrian Ottewill , Barry Wardell
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