Analytical derivation of second-order deflection in the equatorial plane of a radially moving Kerr–Newman black hole. (19th April 2017)

• Record Type: Journal Article
• Authors: He, Guansheng; Lin, Wenbin
• Is Part Of: Classical and quantum gravity. Volume 34:Number 10(2017:May)
• Publication Date: 2017-04-19
• Subjects: iterative technique -- kinematical effect -- gravitational deflection; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/aa691d
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: In this work, we base ourselves on the second-order post-Minkowskian equations of motion, and apply an iterative technique to analytically derive the gravitational deflection of the relativistic particles in the equatorial plane of a Kerr–Newman black hole with a radial (or longitudinal) and constant velocity. We find that the kinematically correctional effects on the second-order contributions to the deflection can be expressed in a very compact form, which are valid for both the massive particle and photon. Our result reduces to the previous formulation for the first-order deflection caused by a moving Schwarzschild black hole when the second-order contributions are dropped.