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

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 ef...

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Main Authors: Yang Huang, Zhoujian Cao
Format: Article
Language:English
Published: SpringerOpen 2023-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-11180-z
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author Yang Huang
Zhoujian Cao
author_facet Yang Huang
Zhoujian Cao
author_sort Yang Huang
collection DOAJ
description 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.
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spelling doaj.art-d6ccc3433a73427384da41ee85a3804d2023-03-22T12:10:21ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-01-0183111110.1140/epjc/s10052-023-11180-zFinite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravityYang Huang0Zhoujian Cao1Institute for Frontiers in Astronomy and Astrophysics, Beijing Normal UniversityInstitute for Frontiers in Astronomy and Astrophysics, Beijing Normal UniversityAbstract 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.https://doi.org/10.1140/epjc/s10052-023-11180-z
spellingShingle Yang Huang
Zhoujian Cao
Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
European Physical Journal C: Particles and Fields
title Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
title_full Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
title_fullStr Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
title_full_unstemmed Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
title_short Finite-distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
title_sort finite distance gravitational deflection of massive particles by a rotating black hole in loop quantum gravity
url https://doi.org/10.1140/epjc/s10052-023-11180-z
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AT zhoujiancao finitedistancegravitationaldeflectionofmassiveparticlesbyarotatingblackholeinloopquantumgravity