On the radiation gauge for spin-1 perturbations in Kerr–Newman spacetime. (24th December 2020)

• Record Type: Journal Article
• Authors: Hollands, Stefan; Toomani, Vahid
• Is Part Of: Classical and quantum gravity. Volume 38:Number 2(2021)
• Publication Date: 2020-12-24
• Subjects: general relativity -- black holes -- perturbation -- Kerr–Newman blackhole -- Hertz potential -- classical electromagnetism -- Teukolsky equation; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/abc36f
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: We extend previous work (2020 Class. Quantum Grav. 37 075001) to the case of Maxwell's equations with a source. Our work shows how to construct a vector potential for the Maxwell field on the Kerr–Newman background in a radiation gauge. The vector potential has a 'reconstructed' term obtained from a Hertz potential solving Teukolsky's equation with a source, and a 'correction' term which is obtainable by a simple integration along outgoing principal null rays. The singularity structure of our vector potential is discussed in the case of a point particle source.