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Gravitational self-force on generic bound geodesics in Kerr spacetime

van de Meent, M. (2018). Gravitational self-force on generic bound geodesics in Kerr spacetime. Physical Review D, 97: 104033. doi:10.1103/PhysRevD.97.104033.

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Creators:
van de Meent , Maarten1, Author
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1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
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 $\psi_4$, which in turn is obtained by solving the Teukolsky equation using semi-analytical frequency domain methods. The gravitational self-force is subsequently obtained using (spherical) $l$-mode regularization. We test our implementation by comparing the large $l$-behaviour against the analytically known regularization parameters. In addition we validate our results be 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.

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Dates: 2017-11-272018
Publication Status: Published in print
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Identifiers: arXiv: 1711.09607
DOI: 10.1103/PhysRevD.97.104033
URI: http://arxiv.org/abs/1711.09607
Degree: -

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Title: Physical Review D
Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 97 Sequence Number: 104033 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258