Accelerated motion and the self-force in Schwarzschild spacetime

  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},
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… 

Self-force calculations with a spinning secondary

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

Discontinuous collocation methods and gravitational self-force applications

This work presents a new approach to evolving partial differential equations occurring in black hole perturbation theory and calculations of the self-force acting on point particles orbiting supermassive black holes, and shows that high-order accuracy can be recovered by adding to the Lagrange interpolation formula a linear combination of certain jump amplitudes.

Gravitational self-force corrections to tidal invariants for spinning particles on circular orbits in a Schwarzschild spacetime

We compute gravitational self-force corrections to tidal invariants for spinning particles moving along circular orbits in a Schwarzschild spacetime. In particular, we consider the square and the

Modified Gravity Corrections in Fundamental Orbital Frequencies in Kerr Spacetime

As a first step towards the calculation of waveform of Extreme Mass Ratio Inspirals for Modified Gravity theories, we calculate the orbital frequencies of a Small Compact Object inspiralling into a

Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits

We report development of a code to calculate the scalar self-force on a scalar-charged particle moving on generic bound orbits in the Kerr spacetime. The scalar self-force model allows rapid

Black hole perturbation theory and gravitational self-force

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.

Self-force and radiation reaction in general relativity

This review surveys the theory of gravitational self- force in curved spacetime and its application to the astrophysical inspiral problem, and highlights the way in which self-force calculations make a fruitful contact with other approaches to the two-body problem and help inform an accurate universal model of binary black hole inspirals, valid across all mass ratios.

Adiabatic evolution due to the conservative scalar self-force during orbital resonances

We calculate the scalar self-force experienced by a scalar point-charge orbiting a Kerr black hole along rθ -resonant geodesics. We use the self-force to calculate the averaged rate of change of the

Slow evolution of the metric perturbation due to a quasicircular inspiral into a Schwarzschild black hole

Extreme mass-ratio inspirals (EMRIs) are one of the most highly anticipated sources of gravitational radiation novel to detection by millihertz space-based detectors. To accurately estimate the

Regularization of a scalar charged particle for generic orbits in Kerr spacetime

∗ 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



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

Self-force on an accelerated particle

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

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

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

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

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

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

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

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

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