Black hole in discrete gravity

Abstract We study the metric corresponding to a three-dimensional coset space SO(4)/SO(3) in the lattice setting. With the use of three integers $$n_1, n_2$$ n 1 , n 2 , and $$n_3$$ n 3 , and a length scale, $$l_{\mu }$$ l μ , the continuous metric is transformed into a discrete space. The numerical...

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Main Authors: Ali H. Chamseddine, Ola Malaeb, Sara Najem
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-12648-2
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author Ali H. Chamseddine
Ola Malaeb
Sara Najem
author_facet Ali H. Chamseddine
Ola Malaeb
Sara Najem
author_sort Ali H. Chamseddine
collection DOAJ
description Abstract We study the metric corresponding to a three-dimensional coset space SO(4)/SO(3) in the lattice setting. With the use of three integers $$n_1, n_2$$ n 1 , n 2 , and $$n_3$$ n 3 , and a length scale, $$l_{\mu }$$ l μ , the continuous metric is transformed into a discrete space. The numerical outcomes are compared with the continuous ones. The singularity of the black hole is explored and different domains are studied.
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spelling doaj.art-9630a4a90d544d289c5b04fee871e2b82024-03-24T12:31:38ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-03-018431610.1140/epjc/s10052-024-12648-2Black hole in discrete gravityAli H. Chamseddine0Ola Malaeb1Sara Najem2Department of Physics, American University of BeirutDepartment of Physics, American University of BeirutDepartment of Physics, American University of BeirutAbstract We study the metric corresponding to a three-dimensional coset space SO(4)/SO(3) in the lattice setting. With the use of three integers $$n_1, n_2$$ n 1 , n 2 , and $$n_3$$ n 3 , and a length scale, $$l_{\mu }$$ l μ , the continuous metric is transformed into a discrete space. The numerical outcomes are compared with the continuous ones. The singularity of the black hole is explored and different domains are studied.https://doi.org/10.1140/epjc/s10052-024-12648-2
spellingShingle Ali H. Chamseddine
Ola Malaeb
Sara Najem
Black hole in discrete gravity
European Physical Journal C: Particles and Fields
title Black hole in discrete gravity
title_full Black hole in discrete gravity
title_fullStr Black hole in discrete gravity
title_full_unstemmed Black hole in discrete gravity
title_short Black hole in discrete gravity
title_sort black hole in discrete gravity
url https://doi.org/10.1140/epjc/s10052-024-12648-2
work_keys_str_mv AT alihchamseddine blackholeindiscretegravity
AT olamalaeb blackholeindiscretegravity
AT saranajem blackholeindiscretegravity