Post-Newtonian expansion of gravitational energy and angular momentum fluxes: inclined spherical orbits about a Kerr black hole
arXiv:2411.09700 · doi:10.1103/PhysRevD.111.084004
Abstract
We present analytical expressions for the fluxes of energy and angular momentum from a point mass on an inclined spherical orbit about a Kerr black hole. The expressions are obtained using the method of Mano, Suzuki and Takasugi to construct analytical solutions of the Teukolsky equation, and are given as post-Newtonian expansions valid through 12PN, with arbitrary values for the inclination parameter and black hole spin . We characterize the structure of the PN expansions in terms of their dependence on and , and we validate our results against numerical calculations.
15 pages, 4 figures, accepted for publication in PRD, updated to include revisions/corrections during the review process
References in corpus (16)
- GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
- GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
- GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
- Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
- Gravitational wave snapshots of generic extreme mass ratio inspirals
- Gravitational waveforms for compact binaries from second-order self-force theory
- Gravitational Waves from a Particle in Circular Orbits around a Schwarzschild Black Hole to the 22nd Post-Newtonian Order
- 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
- Extreme mass ratio inspirals on the equatorial plane in the adiabatic order
- Calculation of radiation reaction effect on orbital parameters in Kerr spacetime
- Gravitational-wave flux for a particle orbiting a Kerr black hole to 20th post-Newtonian order: a numerical approach
- 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
- Eccentric-orbit extreme-mass-ratio-inspiral radiation II: 1PN correction to leading-logarithm and subleading-logarithm flux sequences and the entire perturbative 4PN flux
- High-order post-Newtonian expansion of the generalized redshift invariant for eccentric-orbit, equatorial extreme-mass-ratio inspirals with a spinning primary