Self force on a scalar charge in Kerr spacetime: inclined circular orbits

Abstract

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 complex and, consequently, toy scalar-field models are often developed in order to establish a particular calculational approach. To that end, I present a calculation of the scalar-field self-force for a particle moving on a (fixed) inclined circular geodesic of a background Kerr black hole. I make the calculation in the frequency-domain and demonstrate how to apply the mode-sum regularization procedure to all four components of the self-force. I present results for a number of strong-field orbits which can be used as benchmarks for emerging self-force calculation techniques in Kerr spacetime.

17 pages, 5 figures. Updated to reflect published version

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• Metric perturbations of Kerr spacetime in Lorenz gauge: Circular equatorial orbits
• New self-force method via elliptic partial differential equations for Kerr inspiral models
• Applying the effective-source approach to frequency-domain self-force calculations for eccentric orbits
• Probing fundamental physics with Extreme Mass Ratio Inspirals: a full Bayesian inference for scalar charge
• 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
• Post-Newtonian expansion of fluxes from a scalar charge on an inclined-spherical orbit about a Kerr black hole
• Regularization of a scalar charged particle for generic orbits in Kerr spacetime
• Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit
• Adiabatic evolution due to the conservative scalar self-force during orbital resonances
• Extreme mass-ratio inspirals as probes of scalar fields: eccentric equatorial orbits around Kerr black holes