TY - JOUR

T1 - Perturbative correction terms to electromagnetic self-force due to metric perturbation

T2 - astrophysical and cosmological implications

AU - Sarkar, Arnab

AU - Ali, Amna

AU - Nasri, Salah

N1 - Funding Information:
Arnab Sarkar thanks S. N. Bose National Centre for Basic Sciences, Kolkata 700106, under Department of Science and Technology, Govt. of India, for funding through institute-fellowship. Amna Ali is thankful to UGC for providing financial support under the scheme Dr. D.S. Kothari postdoctoral fellowship. Arnab Sarkar is grateful for the valuable advice and comments of Dr. Adam Pound, Royal Society University Research Fellow within Mathematical Sciences at the University of Southampton, the UK. Dr. Adam Pound’s suggestions have helped greatly to improve this work and it is a privilege to get his opinions. Also, Arnab Sarkar wants to thank International Centre for Theoretical Sciences (ICTS) TIFR, Bengaluru 560089, India, as the motivation for this work came after attending a lecture series on ‘Self-force and radiation reaction in general relativity’ by Dr. Adam Pound, as a part of the programme -“ Summer School on Gravitational Wave Astronomy 2019 ” (Code: ICTS/gws2019/07).
Funding Information:
Arnab Sarkar thanks S. N. Bose National Centre for Basic Sciences, Kolkata 700106, under Department of Science and Technology, Govt. of India, for funding through institute-fellowship. Amna Ali is thankful to UGC for providing financial support under the scheme Dr. D.S. Kothari postdoctoral fellowship. Arnab Sarkar is grateful for the valuable advice and comments of Dr. Adam Pound, Royal Society University Research Fellow within Mathematical Sciences at the University of Southampton, the UK. Dr. Adam Pound?s suggestions have helped greatly to improve this work and it is a privilege to get his opinions. Also, Arnab Sarkar wants to thank International Centre for Theoretical Sciences (ICTS) TIFR, Bengaluru 560089, India, as the motivation for this work came after attending a lecture series on ?Self-force and radiation reaction in general relativity? by Dr. Adam Pound, as a part of the programme -? Summer School on Gravitational Wave Astronomy 2019 ? (Code: ICTS/gws2019/07).
Publisher Copyright:
© 2021, The Author(s).

PY - 2021/8

Y1 - 2021/8

N2 - We consider the equation of motion of a charged particle or a charged compact object in curved space-time, under the reaction of electromagnetic radiation and also consider a physical situation such that the charged particle or compact object emits gravitational radiation, thereby gravitational radiation reaction also acts on it. We investigate the effect of this metric perturbation i.e. the gravitational radiation on the electromagnetic self-force. We show that, besides the interaction terms derived by Zimmerman and Poisson (Phys Rev D 90:084030, 2014), additional perturbative terms are generated, which are linear in metric perturbation and are generated due to perturbation of the electromagnetic self-force by the metric perturbation. We discuss the conditions of significance of these perturbative terms and also the interaction terms with respect to the gravitational self-force in various astrophysical and cosmological cases; such as the motion of charged particles around black holes, some extreme mass-ratio inspirals (EMRIs) involving sufficiently accelerated motion of charged stars (specially neutron stars) or charged stellar mass black holes around supermassive black holes, and motion of charged particles around charged primordial black holes formed in the early Universe etc. We find that in some astrophysical and cosmological cases these perturbative terms can have significant effect in comparison with the gravitational radiation-reaction term.

AB - We consider the equation of motion of a charged particle or a charged compact object in curved space-time, under the reaction of electromagnetic radiation and also consider a physical situation such that the charged particle or compact object emits gravitational radiation, thereby gravitational radiation reaction also acts on it. We investigate the effect of this metric perturbation i.e. the gravitational radiation on the electromagnetic self-force. We show that, besides the interaction terms derived by Zimmerman and Poisson (Phys Rev D 90:084030, 2014), additional perturbative terms are generated, which are linear in metric perturbation and are generated due to perturbation of the electromagnetic self-force by the metric perturbation. We discuss the conditions of significance of these perturbative terms and also the interaction terms with respect to the gravitational self-force in various astrophysical and cosmological cases; such as the motion of charged particles around black holes, some extreme mass-ratio inspirals (EMRIs) involving sufficiently accelerated motion of charged stars (specially neutron stars) or charged stellar mass black holes around supermassive black holes, and motion of charged particles around charged primordial black holes formed in the early Universe etc. We find that in some astrophysical and cosmological cases these perturbative terms can have significant effect in comparison with the gravitational radiation-reaction term.

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U2 - 10.1140/epjc/s10052-021-09485-y

DO - 10.1140/epjc/s10052-021-09485-y

M3 - Article

AN - SCOPUS:85112249110

SN - 1434-6044

VL - 81

JO - European Physical Journal C

JF - European Physical Journal C

IS - 8

M1 - 725

ER -