Scalar self-force for eccentric orbits around a Schwarzschild black hole

Abstract

We revisit the problem of computing the self-force on a scalar charge moving along an eccentric geodesic orbit around a Schwarzschild black hole. This work extends previous scalar self-force calculations for circular orbits, which were based on a regular "effective" point-particle source and a full 3D evolution code. We find good agreement between our results and previous calculations based on a (1+1) time-domain code. Finally, our data visualization is unconventional: we plot the self-force through full radial cycles to create "self-force loops", which reveal many interesting features that are less apparent in standard presentations of eccentric-orbit self-force data.

arXiv comment13 pages, 7 figures, version published in Phys. Rev. D

References in corpus (38)

• Physics, Astrophysics and Cosmology with Gravitational Waves
• The motion of point particles in curved spacetime
• Evolutions in 3D numerical relativity using fixed mesh refinement
• The Einstein Toolkit: A Community Computational Infrastructure for Relativistic Astrophysics
• Self-force via a Green's function decomposition
• Perturbative Approach to an orbital evolution around a Supermassive black hole
• Gravitational self force in extreme mass-ratio inspirals
• Two timescale analysis of extreme mass ratio inspirals in Kerr. I. Orbital Motion
• Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole
• Hyperboloidal foliations and scri-fixing
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Evolution of inspiral orbits around a Schwarzschild black hole
• Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
• Osculating orbits in Schwarzschild spacetime, with an application to extreme mass-ratio inspirals
• New, efficient, and accurate high order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
• Self-force of a scalar field for circular orbits about a Schwarzschild black hole
• A multi-block infrastructure for three-dimensional time-dependent numerical relativity
• Computing inspirals in Kerr in the adiabatic regime. I. The scalar case
• Regularization of fields for self-force problems in curved spacetime: foundations and a time-domain application
• Self-force as a cosmic censor
• Scalar, electromagnetic, and gravitational self-forces in weakly curved spacetimes
• Scalar-field perturbations from a particle orbiting a black hole using numerical evolution in 2+1 dimensions
• Scalar self-force on eccentric geodesics in Schwarzschild spacetime: a time-domain computation
• A numerical study of the quasinormal mode excitation of Kerr black holes
• Self force on a scalar charge in Kerr spacetime: circular equatorial orbits
• Self force on a scalar charge in Kerr spacetime: eccentric equatorial orbits
• Limitations of the adiabatic approximation to the gravitational self-force
• Self-consistent orbital evolution of a particle around a Schwarzschild black hole
• Spacelike matching to null infinity
• Mode-sum regularization of the scalar self-force: Formulation in terms of a tetrad decomposition of the singular field
• Self-force with (3+1) codes: a primer for numerical relativists
• An Efficient Pseudospectral Method for the Computation of the Self-force on a Charged Particle: Circular Geodesics around a Schwarzschild Black Hole
• Self force via $m$-mode regularization and 2+1D evolution: II. Scalar-field implementation on Kerr spacetime
• Pseudospectral Collocation Methods for the Computation of the Self-Force on a Charged Particle: Generic Orbits around a Schwarzschild Black Hole
• Self force via m-mode regularization and 2+1D evolution: Foundations and a scalar-field implementation on Schwarzschild
• Effective source approach to self-force calculations
• Generic effective source for scalar self-force calculations
• Tuning Time-Domain Pseudospectral Computations of the Self-Force on a Charged Scalar Particle

Cited by in corpus (10)

• Black holes, gravitational waves and fundamental physics: a roadmap
• Gravitational self-force on eccentric equatorial orbits around a Kerr black hole
• Scalar self-force for highly eccentric equatorial orbits in Kerr spacetime
• Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits
• Unbound motion on a Schwarzschild background: Practical approaches to frequency domain computations
• Generalized Parton Distributions: confining potential effects within AdS/QCD
• Scalar field self-force effects on a particle orbiting a Reissner-Nordstrom black hole
• Regularization of a scalar charged particle for generic orbits in Kerr spacetime
• Hyperboloidal method for frequency-domain self-force calculations
• Self force from equivalent periodic sources