Geodesic equation in non-commutative gauge theory of gravity

作     者：Abdellah Touati Slimane Zaim Abdellah Touati;Slimane Zaim

作者机构：Laboratoire de Physique des Rayonnements et de leurs Interactions avec la Matiere Departement de PhysiqueFaculte des Sciences de la Matiere Universite de Batna-1Batna 05000Algeria Departement de PhysiqueFaculte des Sciences de la Matière Universitéde Batna-1Batna 05000Algeria 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2022年第46卷第10期

页      面：193-206页

核心收录：

学科分类：07[理学] 070401[理学-天体物理] 070201[理学-理论物理] 0704[理学-天文学] 0702[理学-物理学] 

基　　金：Supported by PRFU Research Project(B00L02UN050120190001) Univ.Batna 1,Algeria 

主　　题：non-commutative geometry gauge gravity Schwarzschild space-time geodesic equation 

摘      要：In this study,we construct a non-commtative gauge theory of the modified structure of the gravitational field using the Seiberg-Witten map and the general tetrad fields of Schwarzschild space-time to show that the noncommutative geometry removes the singularity at the origin of the black hole,thus obtaining a non-singular Schwarzschild black *** geodetic structure of this black hole presents new types of motion next to the event horizon within stable orbits that are not allowed by the ordinary Schwarzschild *** noncommutative periastron advance of the Mercury orbit is obtained,and with the available experimental data,we find a parameter of non-commutativity on the order of 10^(-25)s·kg^(-1).This result shows that the new fundamental length,√h■,is on the order of 10^(-31)m.