Post-Newtonian expansion of fluxes from a scalar charge on an inclined-spherical orbit about a Kerr black hole
arXiv:2507.07303 · doi:10.1103/n4dl-zm7p
Abstract
Efforts are underway to accurately model extreme-mass-ratio inspirals for binaries with a spinning (Kerr) primary. At lowest order the adiabatic evolution depends on the radiation fluxes. Fluxes and other self-force quantities can be expanded analytically in post-Newtionian (PN) series allowing the early evolutionary phase to be understood. When it comes to more complicated background geodesic orbits, it proves useful to use the scalar field model problem to guide development and testing of techniques. In this paper, we present analytical expressions for the scalar fluxes from a scalar point-charge in inclined-spherical orbit about a Kerr black hole up to 12PN relative order, with expressions that are exact in terms of the inclination parameter and black hole spin . The expressions are constructed using the Mano, Suzuki, and Takasugi method of solving the scalar wave equation in a Kerr background. We compare the numerical evaluation of these flux expressions to full numerical () Teukolsky code results, examining their degree of utility as the strong-field region is approached.
arXiv comment15 pages, 2 figures. Accepted for publication to PRD, updated to include corrections/revisions during the review process
References in corpus (47)
- The motion of point particles in curved spacetime
- Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
- Analytic black hole perturbation approach to gravitational radiation
- Perturbative Approach to an orbital evolution around a Supermassive black hole
- Gravitational self force in extreme mass-ratio inspirals
- The evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission
- Zoom & Whirl: Eccentric equatorial orbits around spinning black holes and their evolution under gravitational radiation reaction
- Gravitational wave snapshots of generic extreme mass ratio inspirals
- Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
- Evolution of circular, non-equatorial orbits of Kerr black holes due to gravitational-wave emission: II. Inspiral trajectories and gravitational waveforms
- Celestial mechanics in Kerr spacetime
- Analytical solutions of bound timelike geodesic orbits in Kerr spacetime
- The orbital statistics of stellar inspiral and relaxation near a massive black hole: characterizing gravitational wave sources
- Gravitational waveforms for compact binaries from second-order self-force theory
- Detecting fundamental fields with LISA observations of gravitational waves from extreme mass-ratio inspirals
- Rotating black hole orbit functionals in the frequency domain
- Axiomatic approach to radiation reaction of scalar point particles in curved spacetime
- Analytic Solutions of the Regge-Wheeler Equation and the Post-Minkowskian Expansion
- Prospects for observing extreme-mass-ratio inspirals with LISA
- Analytical high-order post-Newtonian expansions for extreme mass ratio binaries
- The location of the last stable orbit in Kerr spacetime
- Gravitational Waves from a Particle in Circular Orbits around a Rotating Black Hole to the 11th Post-Newtonian Order
- Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
- Self force on a scalar charge in Kerr spacetime: circular equatorial orbits
- Self force on a scalar charge in Kerr spacetime: eccentric equatorial orbits
- Detecting massive scalar fields with Extreme Mass-Ratio Inspirals
- Modeling the horizon-absorbed gravitational flux for equatorial-circular orbits in Kerr spacetime
- Analytical high-order post-Newtonian expansions for spinning extreme mass ratio binaries
- Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
- Calculation of radiation reaction effect on orbital parameters in Kerr spacetime
- Adiabatic Evolution of three 'Constants' of Motion for Greatly Inclined Orbits in Kerr spacetime
- Eccentric-orbit EMRI gravitational wave energy fluxes to 7PN order
- Gravitational-wave flux for a particle orbiting a Kerr black hole to 20th post-Newtonian order: a numerical approach
- Experimental mathematics meets gravitational self-force
- High Frequency Asymptotics for the Spin-Weighted Spheroidal Equation
- Analytic post-Newtonian expansion of the energy and angular momentum radiated to infinity by eccentric-orbit non-spinning extreme-mass-ratio inspirals to 19PN
- Self force on a scalar charge in Kerr spacetime: inclined circular orbits
- Repeated faint quasinormal bursts in extreme-mass-ratio inspiral waveforms: Evidence from frequency-domain scalar self-force calculations on generic Kerr orbits
- Determination of new coefficients in the angular momentum and energy fluxes at infinity to 9PN for eccentric Schwarzschild extreme-mass-ratio inspirals using mode-by-mode fitting
- Eccentric-orbit extreme-mass-ratio-inspiral radiation II: 1PN correction to leading-logarithm and subleading-logarithm flux sequences and the entire perturbative 4PN flux
- Eccentric-orbit EMRI radiation: Analytic forms of leading-logarithm and subleading-logarithm flux terms at high PN orders
- Perturbations of Extremal Kerr Spacetime: Analytic Framework and Late-time Tails
- Tidal heating and torquing of the primary black hole in eccentric-orbit, non-spinning extreme-mass-ratio inspirals to 22PN order
- Actions of spinning compact binaries: Spinning particle in Kerr matched to dynamics at 1.5 post-Newtonian order
- Post-Newtonian expansion of the spin-precession invariant for eccentric-orbit non-spinning extreme-mass-ratio inspirals to 9PN and
- Scalar field self-force effects on a particle orbiting a Reissner-Nordstrom black hole
- Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole