Post-Minkowskian self-force in the low-velocity limit: Scalar field scattering

In this paper we present an approach to compute analytical post-Minkowskian corrections to unbound two-body scattering in the self-force formalism. Our method relies on a further low-velocity (post-Newtonian) expansion of the motion. We present a general strategy valid for gravitational and nongravitational self-force, and we explicitly demonstrate our approach for a scalar charge scattering off a Schwarzschild black hole. We compare our results with recent calculations in [, Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model, Phys. Rev. D 108, 024025 (2023)], showing complete agreement where appropriate and fixing undetermined scale factors in their calculation. Our results also extend their results by including in our dissipative sector the contributions from the flux into the black hole horizon.

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Publication Details

Journal
Physical review. D/Physical review. D.
Published
2024-09-16
DOI
https://doi.org/10.1103/physrevd.110.064050
Citations
8
Primary Topic
Pulsars and Gravitational Waves Research
Type
article
Field-Weighted Citation Impact
2.65

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article

Post-Minkowskian self-force in the low-velocity limit: Scalar field scattering

Andrea Geralico, Donato Bini, Adam Pound, Chris Kavanagh et al.
8 citations
Physical review. D/Physical review. D.
Pulsars and Gravitational Waves Research
2.65
article

Post-Minkowskian self-force in the low-velocity limit: Scalar field scattering

Andrea Geralico, Donato Bini, Adam Pound, Chris Kavanagh, Davide Usseglio
article en
8 citations

Abstract

In this paper we present an approach to compute analytical post-Minkowskian corrections to unbound two-body scattering in the self-force formalism. Our method relies on a further low-velocity (post-Newtonian) expansion of the motion. We present a general strategy valid for gravitational and nongravitational self-force, and we explicitly demonstrate our approach for a scalar charge scattering off a Schwarzschild black hole. We compare our results with recent calculations in [, Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model, Phys. Rev. D 108, 024025 (2023)], showing complete agreement where appropriate and fixing undetermined scale factors in their calculation. Our results also extend their results by including in our dissipative sector the contributions from the flux into the black hole horizon.

Physical review. D/Physical review. D.Vol. 110(6)
University College Dublin (IE), Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre (IT), Istituto per le Applicazioni del Calcolo Mauro Picone (IT), Istituto Nazionale di Fisica Nucleare, Sezione di Napoli (IT), Scuola Superiore Meridionale (IT), University of Southampton (GB)
Istituto Nazionale di Alta Matematica "Francesco Severi", UK Research and Innovation, Science Foundation Ireland, Gruppo Nazionale per la Fisica Matematica, HORIZON EUROPE Framework Programme, European Research Council
Openalex Percentile: Top 11%
Pulsars and Gravitational Waves Research
2.65
DOIOpen Access PDFOpenAlex
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Post-Minkowskian self-force in the low-velocity limit: Scalar field scattering — Andrea Geralico, Donato Bini, et al. · Physical review. D/Physical review. D. (2024) | TGRS Research Map | TGRS