Weak cosmic censorship conjecture and black hole shadow for black hole with generalized uncertainty principle

Abstract Based on string theory, loop quantum gravity, black hole physics, and other theories of quantum gravity, physicists have proposed generalized uncertainty principle (GUP) modifications. In this work, within the framework of GUP gravity theory, we successfully derive an exact solution to Eins...

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Main Author: Meirong Tang
Format: Article
Language:English
Published: SpringerOpen 2024-04-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-12641-9
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author Meirong Tang
author_facet Meirong Tang
author_sort Meirong Tang
collection DOAJ
description Abstract Based on string theory, loop quantum gravity, black hole physics, and other theories of quantum gravity, physicists have proposed generalized uncertainty principle (GUP) modifications. In this work, within the framework of GUP gravity theory, we successfully derive an exact solution to Einstein’s field equation, and discuss the possibility of using EHT to test GUP and how GUP changes the weak cosmic censorship conjecture for black holes. We analyze two different ways of constructing GUP rotating black holes (model I and model II). Model I takes into account the modification of mass by GUP, i.e., the change in mass by quantization of space, and the resulting GUP rotating black hole metric (18) is similar in form to the Kerr black hole metric. Model II takes into account the modification of the rotating black hole when GUP is an external field, where GUP acts like an electric charge, and the resulting GUP rotating black hole metric (19) is similar in form to the Kerr–Newman black hole metric. The difference between (18) and (19) in the spacetime linear structure provides a basis for us to examine the physical nature of GUP rotating black holes from observation. By analyzing the shadow shape of the GUP rotating black hole, we discover intriguing characteristics regarding the impact of first-order and second-order momentum correction coefficients on the black hole’s shadow shape. These findings will be instrumental in future GUP testing using EHT. Additionally, by incident test particle and scalar field with a rotating GUP black hole, the weak cosmic censorship conjecture is not violated in either extreme black holes or near-extreme black holes.
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spelling doaj.art-6f58ded6bdfd4fe0865bb68121c1bde02024-04-21T11:28:07ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-04-0184411310.1140/epjc/s10052-024-12641-9Weak cosmic censorship conjecture and black hole shadow for black hole with generalized uncertainty principleMeirong Tang0College of Physics, Guizhou UniversityAbstract Based on string theory, loop quantum gravity, black hole physics, and other theories of quantum gravity, physicists have proposed generalized uncertainty principle (GUP) modifications. In this work, within the framework of GUP gravity theory, we successfully derive an exact solution to Einstein’s field equation, and discuss the possibility of using EHT to test GUP and how GUP changes the weak cosmic censorship conjecture for black holes. We analyze two different ways of constructing GUP rotating black holes (model I and model II). Model I takes into account the modification of mass by GUP, i.e., the change in mass by quantization of space, and the resulting GUP rotating black hole metric (18) is similar in form to the Kerr black hole metric. Model II takes into account the modification of the rotating black hole when GUP is an external field, where GUP acts like an electric charge, and the resulting GUP rotating black hole metric (19) is similar in form to the Kerr–Newman black hole metric. The difference between (18) and (19) in the spacetime linear structure provides a basis for us to examine the physical nature of GUP rotating black holes from observation. By analyzing the shadow shape of the GUP rotating black hole, we discover intriguing characteristics regarding the impact of first-order and second-order momentum correction coefficients on the black hole’s shadow shape. These findings will be instrumental in future GUP testing using EHT. Additionally, by incident test particle and scalar field with a rotating GUP black hole, the weak cosmic censorship conjecture is not violated in either extreme black holes or near-extreme black holes.https://doi.org/10.1140/epjc/s10052-024-12641-9
spellingShingle Meirong Tang
Weak cosmic censorship conjecture and black hole shadow for black hole with generalized uncertainty principle
European Physical Journal C: Particles and Fields
title Weak cosmic censorship conjecture and black hole shadow for black hole with generalized uncertainty principle
title_full Weak cosmic censorship conjecture and black hole shadow for black hole with generalized uncertainty principle
title_fullStr Weak cosmic censorship conjecture and black hole shadow for black hole with generalized uncertainty principle
title_full_unstemmed Weak cosmic censorship conjecture and black hole shadow for black hole with generalized uncertainty principle
title_short Weak cosmic censorship conjecture and black hole shadow for black hole with generalized uncertainty principle
title_sort weak cosmic censorship conjecture and black hole shadow for black hole with generalized uncertainty principle
url https://doi.org/10.1140/epjc/s10052-024-12641-9
work_keys_str_mv AT meirongtang weakcosmiccensorshipconjectureandblackholeshadowforblackholewithgeneralizeduncertaintyprinciple