# Accelerated motion and the self-force in Schwarzschild spacetime

@article{Heffernan2018AcceleratedMA, title={Accelerated motion and the self-force in Schwarzschild spacetime}, author={Anna Heffernan and Adrian C Ottewill and Niels Warburton and Barry Wardell and Peter Diener}, journal={Classical and Quantum Gravity}, year={2018}, volume={35} }

We provide expansions of the Detweiler–Whiting singular field for a particle with a scalar field moving along arbitrary, planar accelerated trajectories in Schwarzschild spacetime. We transcribe these results into mode-sum regularization parameters, computing previously unknown terms that increase the convergence rate of the mode-sum. We test our results by computing the self-force along a variety of accelerated trajectories. For non-uniformly accelerated circular orbits we present results from…

## 10 Citations

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∗ Previous aﬃliations where part of this work was carried out. A scalar charged particle moving in a curved background spacetime will emit a ﬁeld eﬀecting its own motion; the resolving of this…

## References

SHOWING 1-10 OF 132 REFERENCES

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

- Physics
- 2012

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…

### Self-force on an accelerated particle

- Physics
- 2014

We calculate the singular field of an accelerated point particle (scalar charge, electric charge or small gravitating mass) moving on an accelerated (nongeodesic) trajectory in a generic background…

### Regularization parameters for the self-force in Schwarzschild spacetime: scalar case

- Physics
- 2002

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…

### Self-force on a scalar charge in Kerr spacetime: Inclined circular orbits

- Physics
- 2015

Accurately modeling astrophysical extreme-mass-ratio-insprials requires calculating the gravitational self-force for orbits in Kerr spacetime. The necessary calculation techniques are typically very…

### Gravitational self-force on generic bound geodesics in Kerr spacetime

- Physics
- 2018

In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass ratio. That is, the local correction to equations…

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

- Physics
- 2010

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…

### Self-force and Green function in Schwarzschild spacetime via quasinormal modes and branch cut

- Physics
- 2013

The motion of a small compact object in a curved background spacetime deviates from a geodesic due to the action of its own field, giving rise to a self-force. This self-force may be calculated by…

### Covariant self-force regularization of a particle orbiting a Schwarzschild black hole: Mode decomposition regularization

- Physics
- 2002

The covariant structure of the self-force of a particle in a general curved background has been elucidated in the cases of scalar, electromagnetic, and gravitational charges. Specifically, what we…

### Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases

- Physics
- 2003

We obtain all ‘‘regularization parameters’’ ~RPs! needed for calculating the gravitational and electromagnetic self-forces for an arbitrary geodesic orbit around a Schwarzschild black hole. These RP…

### Self force on a scalar charge in Kerr spacetime: eccentric equatorial orbits

- Physics
- 2011

We present a numerical code for calculating the self force on a scalar charge moving in a bound (eccentric) geodesic in the equatorial plane of a Kerr black hole. We work in the frequency domain and…