Van De Meent, Maarten (2018) Gravitational self-force on generic bound geodesics in Kerr spacetime. Physical Review D, 97 (10), 1-20, [104033]. (doi:10.1103/PhysRevD.97.104033).
Abstract
In this work we present the first calculation of the gravitational self-force on generic bound geodesics in Kerr spacetime to first order in the mass ratio. That is, the local correction to equations of motion for a compact object orbiting a larger rotating black hole due to its own impact on the gravitational field. This includes both dissipative and conservative effects. Our method builds on and extends earlier methods for calculating the gravitational self-force on equatorial orbits. In particular we reconstruct the local metric perturbation in the outgoing radiation gauge from the Weyl scalar ψ4, which in turn is obtained by solving the Teukolsky equation using semianalytical frequency domain methods. The gravitational self-force is subsequently obtained using (spherical) l-mode regularization. We test our implementation by comparing the large l-behavior against the analytically known regularization parameters. In addition we validate our results by comparing the long-term average changes to the energy, angular momentum, and Carter constant to changes to these constants of motion inferred from the gravitational wave flux to infinity and down the horizon.
More information
Identifiers
Catalogue record
Export record
Altmetrics
Contributors
University divisions
- Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg)
Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg)
School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg) > Applied Mathematics (pre 2018 reorg) - Faculties (pre 2018 reorg) > Faculty of Social, Human and Mathematical Sciences (pre 2018 reorg) > Mathematical Sciences (pre 2018 reorg)
Current Faculties > Faculty of Social Sciences > School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg)
School of Mathematical Sciences > Mathematical Sciences (pre 2018 reorg)
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.