Geodesic equation in non-commutative gauge theory of gravity  

作　　者：Abdellah Touati Slimane Zaim 

机构地区：[1]Laboratoire de Physique des Rayonnements et de leurs Interactions avec la Matiere Departement de Physique,Faculte des Sciences de la Matiere Universite de Batna-1,Batna 05000,Algeria [2]Departement de Physique,Faculte des Sciences de la Matière Universitéde Batna-1,Batna 05000,Algeria

出　　处：《Chinese Physics C》2022年第10期193-206,共14页中国物理C（英文版）

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

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 hole.The 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 spacetime.The 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.

关 键 词：non-commutative geometry gauge gravity Schwarzschild space-time geodesic equation 

分 类 号：P145.8[天文地球—天体物理] O412.1[天文地球—天文学]