Self force on particle in orbit around a black hole

Abstract

We study the self force acting on a scalar charge in uniform circular motion around a Schwarzschild black hole. The analysis is based on a direct calculation of the self force via mode decomposition, and on a regularization procedure based on Ori's mode-sum regularization prescription. We find the four self-force at arbitrary radii and angular velocities (both geodesic and non-geodesic), in particular near the black hole, where general-relativistic effects are strongest, and for fast motion. We find the radial component of the self force to be repulsive or attractive, depending on the orbit.

RevTeX, 4 pages, 4 Encapsulated PostScript figures. Submitted to Phys. Rev. Lett

References in corpus (5)

• The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission
• Mode sum regularization approach for the self-force in black hole spacetime
• The self-force on a static scalar test-charge outside a Schwarzschild black hole
• Self force on static charges in Schwarzschild spacetime
• The optimal entropy bound and the self-energy of test objects in the vicinity of a black hole

Cited by in corpus (85)

• Black holes, gravitational waves and fundamental physics: a roadmap
• The motion of point particles in curved spacetime
• The motion of point particles in curved spacetime
• Gravitational self force in extreme mass-ratio inspirals
• Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
• Gravitational Waves from a Compact Star in a Circular, Inspiral Orbit, in the Equatorial Plane of a Massive, Spinning Black Hole, as Observed by LISA
• Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission: II. Inspiral trajectories and gravitational waveforms
• A consequence of the gravitational self-force for circular orbits of the Schwarzschild geometry
• Gravitational self-force on a particle in eccentric orbit around a Schwarzschild black hole
• Calculating the gravitational self force in Schwarzschild spacetime
• Approximating the inspiral of test bodies into Kerr black holes
• Gravitational self force on a particle in circular orbit around a Schwarzschild black hole
• Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
• Gravitational self force and gauge transformations
• Self-force of a scalar field for circular orbits about a Schwarzschild black hole
• Regularization of fields for self-force problems in curved spacetime: foundations and a time-domain application
• Listening to the Universe with Gravitational-Wave Astronomy
• Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole
• Gravitational self-force on a particle orbiting a Kerr black hole
• Scalar, electromagnetic, and gravitational self-forces in weakly curved spacetimes
• Regularization parameters for the self force in Schwarzschild spacetime: II. gravitational and electromagnetic cases
• Self force on a scalar charge in Kerr spacetime: circular equatorial orbits
• Regularization parameters for the self force in Schwarzschild spacetime: I. scalar case
• Self-Force Calculations with Matched Expansions and Quasinormal Mode Sums
• Radiation-reaction force on a particle plunging into a black hole
• Frequency-domain calculation of the self force: the high-frequency problem and its resolution
• m-Mode Regularization Scheme for the Self Force in Kerr Spacetime
• Scalar field self-force effects on orbits about a Schwarzschild black hole
• Self-consistent orbital evolution of a particle around a Schwarzschild black hole
• Gravitational perturbations and metric reconstruction: Method of extended homogeneous solutions applied to eccentric orbits on a Schwarzschild black hole
• High-order expansions of the Detweiler-Whiting singular field in Schwarzschild spacetime
• Gravitational self force by mode sum regularization
• Gravitational waves from extreme mass ratio inspirals: Challenges in mapping the spacetime of massive, compact objects
• Frequency-domain algorithm for the Lorenz-gauge gravitational self-force
• Mode-sum regularization of the scalar self-force: Formulation in terms of a tetrad decomposition of the singular field
• Effective Field Theory for Extreme Mass Ratios
• Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry
• A Fast Frequency-Domain Algorithm for Gravitational Self-Force: I, Circular Orbits in Schwarzschild Spacetime
• Self force on a scalar charge in the spacetime of a stationary, axisymmetric black hole
• Self-force with (3+1) codes: a primer for numerical relativists
• Self-force via Green functions and worldline integration
• From the self-force problem to the Radiation reaction formula
• Applying the effective-source approach to frequency-domain self-force calculations
• Self force on charges in the spacetime of spherical shells
• High-order expansions of the Detweiler-Whiting singular field in Kerr spacetime
• Orbital evolution of a particle around a black hole: II. Comparison of contributions of spin-orbit coupling and the self force
• 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
• Self force on a scalar charge in Kerr spacetime: inclined circular orbits
• Generic effective source for scalar self-force calculations
• Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits
• Self-force: Computational Strategies
• Radiation Reaction in Schwarzschild Spacetime: Retarded Green's Function via Hadamard-WKB Expansion
• Quasi-local contribution to the gravitational self-force
• Self-force Regularization in the Schwarzschild Spacetime
• Orbital evolution of a test particle around a black hole: higher-order corrections
• Constraint on Brans-Dicke theory from intermediate/extreme mass ratio inspirals
• Applying the effective-source approach to frequency-domain self-force calculations for eccentric orbits
• A nonlinear scalar model of extreme mass ratio inspirals in effective field theory I. Self force through third order
• Scalar radiation emitted from a rotating source around a Reissner-Nordstrom black hole
• Classical self-forces in a space with a dispiration
• Nearly horizon skimming orbits of Kerr black holes
• Accelerated motion and the self-force in Schwarzschild spacetime
• Massive-Field Approach to the Scalar Self Force in Curved Spacetime
• Self-Force on a Scalar Charge in Circular Orbit around a Schwarzschild Black Hole
• Self-force on a scalar charge in radial infall from rest using the Hadamard-WKB expansion
• Scalar Synchrotron Radiation in the Schwarzschild-anti-de Sitter Geometry
• Instability of scalar charges in 1+1D and 2+1D
• Combined gravitational and electromagnetic self-force on charged particles in electrovac spacetimes
• Towards the solution of the relativistic gravitational radiation reaction problem for binary black holes
• Self interaction near dielectrics
• Scalar self-force on a static particle in Schwarzschild using the massive field approach
• Semiclassical approach to the decay of protons in circular motion under the influence of gravitational fields
• Self force on an accelerated particle
• Scalar field self-force effects on a particle orbiting a Reissner-Nordstrom black hole
• Self-force on a scalar charge in a circular orbit about a Reissner-Nordström black hole
• Self-action in Gravity
• Self-force of a scalar charge in the space-time of extreme charged anti-dilatonic wormhole
• Orbital evolution of a test particle around a black hole: Indirect determination of the self force in the post Newtonian approximation
• Radiation interference from sources rotating around Schwarzschild black holes
• Variations in the fine structure constant constraining gravity theories
• The singular field used to calculate the self-force on non-spinning and spinning particles
• Radiation Reaction on Moving Particles in General Relativity
• Harmonic gauge perturbations of the Schwarzschild metric
• Calculating the self force in Schwarzschild spacetime by mode-sum regularization