Deflection of charged massive particles by a four-dimensional charged Einstein–Gauss–Bonnet black hole. (6th December 2021)

• Record Type: Journal Article
• Authors: Li, Zonghai; Duan, Yujie; Jia, Junji
• Is Part Of: Classical and quantum gravity. Volume 39:Number 1(2022)
• Publication Date: 2021-12-06
• Subjects: deflection angle -- gravitational lensing -- Gauss–Bonnet theorem -- charged massive particle -- timelike signal -- Einstein–Gauss–Bonnet black hole; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/1361-6382/ac38d0
• Languages: English
• ISSNs: 0264-9381

Abstract

Abstract: Based on the Jacobi metric method, this paper studies the deflection of a charged massive particle by a novel four-dimensional charged Einstein–Gauss–Bonnet black hole. We focus on the weak field approximation and consider the deflection angle with finite distance effects. To this end, we use a geometric and topological method, which is to apply the Gauss–Bonnet theorem to the Jacobi space to calculate the deflection angle. We find that the deflection angle contains a pure gravitational contribution δ g, a pure electrostatic δ c and a gravitational–electrostatic coupling term δ gc . We find that the deflection angle increases (decreases) if the Gauss–Bonnet coupling constant α is negative (positive). Furthermore, the effects of the BH charge, the particle charge-to-mass ratio and the particle velocity on the deflection angle are analyzed.