Adiabatic evolution due to the conservative scalar self-force during orbital resonances

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PhysRevD.106.064042.pdf (1.86 MB)

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https://journals.aps.org/prd/abstract/10.1103/PhysRevD.106.064042

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https://doi.org/10.1103/PhysRevD.106.064042
 http://hdl.handle.net/11603/32923

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UMBC Center for Space Sciences and Technology (CSST) / Center for Research and Exploration in Space Sciences & Technology II (CRSST II)
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https://orcid.org/0000-0002-5109-9704

Date

2022-09-23

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journal articles
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Citation of Original Publication

Nasipak, Zachary. “Adiabatic Evolution Due to the Conservative Scalar Self-Force during Orbital Resonances.” Physical Review D 106, no. 6 (September 23, 2022): 064042. https://doi.org/10.1103/PhysRevD.106.064042.

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This work was written as part of one of the author's official duties as an Employee of the United States Government and is therefore a work of the United States Government. In accordance with 17 U.S.C. 105, no copyright protection is available for such works under U.S. Law.
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Abstract

We calculate the scalar self-force experienced by a scalar point-charge orbiting a Kerr black hole along rθ-resonant geodesics. We use the self-force to calculate the averaged rate of change of the charge’s orbital energy hE_i, angular momentum hL_ zi, and Carter constant hQ_ i, which together capture the leading-order adiabatic, secular evolution of the point-charge. Away from resonances, only the dissipative (time antisymmetric) components of the self-force contribute to hE_i, hL_ zi, and hQ_ i. We demonstrate, using a new numerical code, that during rθ resonances conservative (time symmetric) scalar perturbations also contribute to hQ_ i and, thus, help drive the adiabatic evolution of the orbit. Furthermore, we observe that the relative impact of these conservative contributions to hQ_ i is particularly strong for eccentric 2∶3 resonances. These results provide the first conclusive numerical evidence that conservative scalar perturbations of Kerr spacetime are nonintegrable during rθ resonances.