Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity

Yang Huang; Zhoujian Cao

doi:10.1140/epjc/s10052-023-11180-z

2022 Impact factor 4.4

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 80
https://doi.org/10.1140/epjc/s10052-023-11180-z

Regular Article - Theoretical Physics

Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity

Yang Huang¹^,2 and Zhoujian Cao¹^,2^,3^b

¹ Institute for Frontiers in Astronomy and Astrophysics, Beijing Normal University, 102206, Beijing, China
² Department of Astronomy, Beijing Normal University, 100875, Beijing, China
³ School of Fundamental Physics and Mathematical Sciences, Hangzhou Institute for Advanced Study, UCAS, 310024, Hangzhou, China

^b zjcao@bnu.edu.cn

Received: 23 September 2022
Accepted: 27 December 2022
Published online: 27 January 2023

Abstract

A rotating black hole in loop quantum gravity was constructed by Brahma, Chen, and Yeom based on a nonrotating counterpart using the revised Newman–Janis algorithm recently. For such spacetime, we investigate the weak gravitational deflection of massive particles to explore observational effects of the quantum correction. The purpose of this article is twofold. First, for Gibbons–Werner (GW) method, a geometric approach computing the deflection angle of particles in curved spacetimes, we refine its calculation and obtain a simplified formula. Second, by using GW method and our new formula, we work out the finite-distance weak deflection angle of massive particles for the rotating black hole in loop quantum gravity obtained by Brahma et al. An analysis to our result reveals the repulsive effect of the quantum correction to particles. What’s more, an observational constraint on the quantum parameter is obtained in solar system.

© The Author(s) 2023

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