Gravitational Lensing Effects from Models of Loop Quantum Gravity with Rigorous Quantum Parameters

Many previous works have studied gravitational lensing effects from Loop Quantum Gravity. So far, gravitational lensing effects from Loop Quantum Gravity have only been studied by choosing large quantum parameters much larger than the Planck scale. However, by construction, the quantum parameters of...

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Main Authors: Haida Li, Xiangdong Zhang
Format: Article
Language:English
Published: MDPI AG 2024-11-01
Series:Universe
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Online Access:https://www.mdpi.com/2218-1997/10/11/421
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author Haida Li
Xiangdong Zhang
author_facet Haida Li
Xiangdong Zhang
author_sort Haida Li
collection DOAJ
description Many previous works have studied gravitational lensing effects from Loop Quantum Gravity. So far, gravitational lensing effects from Loop Quantum Gravity have only been studied by choosing large quantum parameters much larger than the Planck scale. However, by construction, the quantum parameters of the effective models of Loop Quantum Gravity are usually related to the Planck length and, thus, are extremely small. In this work, by strictly imposing the quantum parameters as initially constructed, we study the true quantum corrections of gravitational lensing effects by five effective black hole models of Loop Quantum Gravity. Our study reveals several interesting results, including the different scales of quantum corrections displayed by each model and the connection between the quantum correction of deflection angles and the quantum correction of the metric. Observables related to the gravitational lensing effect are also obtained for all models in the case of SgrA* and M87*.
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spelling doaj-art-9110a35cf1c04a8ea64a4973e13a15332024-11-26T18:24:22ZengMDPI AGUniverse2218-19972024-11-01101142110.3390/universe10110421Gravitational Lensing Effects from Models of Loop Quantum Gravity with Rigorous Quantum ParametersHaida Li0Xiangdong Zhang1School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510641, ChinaSchool of Physics and Optoelectronics, South China University of Technology, Guangzhou 510641, ChinaMany previous works have studied gravitational lensing effects from Loop Quantum Gravity. So far, gravitational lensing effects from Loop Quantum Gravity have only been studied by choosing large quantum parameters much larger than the Planck scale. However, by construction, the quantum parameters of the effective models of Loop Quantum Gravity are usually related to the Planck length and, thus, are extremely small. In this work, by strictly imposing the quantum parameters as initially constructed, we study the true quantum corrections of gravitational lensing effects by five effective black hole models of Loop Quantum Gravity. Our study reveals several interesting results, including the different scales of quantum corrections displayed by each model and the connection between the quantum correction of deflection angles and the quantum correction of the metric. Observables related to the gravitational lensing effect are also obtained for all models in the case of SgrA* and M87*.https://www.mdpi.com/2218-1997/10/11/421general relativitygravitational lensingLoop Quantum Gravity
spellingShingle Haida Li
Xiangdong Zhang
Gravitational Lensing Effects from Models of Loop Quantum Gravity with Rigorous Quantum Parameters
Universe
general relativity
gravitational lensing
Loop Quantum Gravity
title Gravitational Lensing Effects from Models of Loop Quantum Gravity with Rigorous Quantum Parameters
title_full Gravitational Lensing Effects from Models of Loop Quantum Gravity with Rigorous Quantum Parameters
title_fullStr Gravitational Lensing Effects from Models of Loop Quantum Gravity with Rigorous Quantum Parameters
title_full_unstemmed Gravitational Lensing Effects from Models of Loop Quantum Gravity with Rigorous Quantum Parameters
title_short Gravitational Lensing Effects from Models of Loop Quantum Gravity with Rigorous Quantum Parameters
title_sort gravitational lensing effects from models of loop quantum gravity with rigorous quantum parameters
topic general relativity
gravitational lensing
Loop Quantum Gravity
url https://www.mdpi.com/2218-1997/10/11/421
work_keys_str_mv AT haidali gravitationallensingeffectsfrommodelsofloopquantumgravitywithrigorousquantumparameters
AT xiangdongzhang gravitationallensingeffectsfrommodelsofloopquantumgravitywithrigorousquantumparameters