Scalar self-force on eccentric geodesics in Schwarzschild spacetime: A time-domain computation

  title={Scalar self-force on eccentric geodesics in Schwarzschild spacetime: A time-domain computation},
  author={Roland Haas},
  journal={Physical Review D},
  • R. Haas
  • Published 5 April 2007
  • Physics
  • Physical Review D
We calculate the self-force acting on a particle with scalar charge moving on a generic geodesic around a Schwarzschild black hole. This calculation requires an accurate computation of the retarded scalar field produced by the moving charge; this is done numerically with the help of a fourth-order convergent finite-difference scheme formulated in the time domain. The calculation also requires a regularization procedure, because the retarded field is singular on the particle's world line; this… 

Gravitational self-force effects on a point mass moving around a Schwarzschild black hole

We consider the effects of the gravitational self-force on a point mass moving in a generic (eccentric) orbit around a Schwarzschild black hole. We developed a numerical code to solve the metric

Self-force on a scalar charge in Kerr spacetime: Circular equatorial orbits

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

High-order expansions of the Detweiler-Whiting singular field in Schwarzschild spacetime

The self field of a charged particle has a component that diverges at the particle. We use both coordinate and covariant approaches to compute an expansion of this singular field for generic geodesic

Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole

We present a numerical code for calculating the local gravitational self-force acting on a pointlike particle in a generic (bound) geodesic orbit around a Schwarzschild black hole. The calculation is

Self-force on point particles in orbit around a Schwarzschild black hole

SELF-FORCE ON POINT PARTICLES IN ORBIT AROUND A SCHWARZSCHILD BLACK HOLE Roland Haas Advisor: University of Guelph, 2008 Professor Eric Poisson We examine the motion of a point scalar or

Generic effective source for scalar self-force calculations

A leading approach to the modelling of extreme mass ratio inspirals involves the treatment of the smaller mass as a point particle and the computation of a regularized self-force acting on that

Scalar field self-force effects on a particle orbiting a Reissner-Nordström black hole

Scalar field self-force effects on a scalar charge orbiting a Reissner-Nordstr\"om black hole are investigated. The scalar wave equation is solved analytically in a post-Newtonian framework, and the

Computational Methods for the Self-Force in Black Hole Spacetimes

We survey the set of computational methods devised for implementing the MiSaTaQuWa formulation in practice, for orbits around Kerr black holes. We focus on the gravitational self-force (SF) and

Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums

Accurate modeling of gravitational wave emission by extreme-mass ratio inspirals is essential for their detection by the LISA mission. A leading perturbative approach involves the calculation of the

Self-force via Green functions and worldline integration

A compact object moving in curved spacetime interacts with its own gravitational field. This leads to both dissipative and conservative corrections to the motion, which can be interpreted as a



Mode sum regularization approach for the self-force in black hole spacetime

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

Self-force of a scalar field for circular orbits about a Schwarzschild black hole

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

Mode-sum regularization of the scalar self-force: Formulation in terms of a tetrad decomposition of the singular field

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

Self force via a Green's function decomposition

The gravitational field of a particle of small mass \mu moving through curved spacetime is naturally decomposed into two parts each of which satisfies the perturbed Einstein equations through O(\mu).

Gravitational radiation reaction to a particle motion

A small mass particle traveling in a curved spacetime is known to trace a background geodesic in the lowest order approximation with respect to the particle mass. In this paper, we discuss the

Axiomatic approach to radiation reaction of scalar point particles in curved spacetime

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

A time-domain fourth-order-convergent numerical algorithm to integrate black hole perturbations in the extreme-mass-ratio limit

We obtain a fourth-order accurate numerical algorithm to integrate the Zerilli and Regge–Wheeler wave equations, describing perturbations of non-rotating black holes, with source terms due to an

Understanding initial data for black hole collisions

Numerical relativity, applied to collisions of black holes, starts with initial data for black holes already in each other's strong field. The initial hypersurface data typically used for computation

Axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime

The problem of determining the electromagnetic and gravitational ``self-force'' on a particle in a curved spacetime is investigated using an axiomatic approach. In the electromagnetic case, our key