General teleparallel gravity from Finsler geometry  

作　　者：Yeheng Tong 

机构地区：[1]Interdisciplinary Center for Theoretical Study,University of Science and Technology of China,Hefei,Anhui 230026,China [2]Peng Huanwu Center for Fundamental Theory,Hefei,Anhui 230026,China

出　　处：《Communications in Theoretical Physics》2023年第9期104-112,共9页理论物理通讯（英文版）

基　　金：supported in part by NSFC under Grant No.12075231 and 12047502。

摘　　要：Riemannian geometry, as a basis for general relativity, can be obtained from the more general Finsler geometry in terms of the Cartan connection and Chern connection, as discussed frequently in the literature. However, there are other gravity theories that can be made to be equivalent to general relativity but are based on non-Riemannian geometry. Famous examples are the Teleparallel and Symmetric Teleparallel gravity theories. In this paper, we show how to obtain the geometry for Teleparallel gravity from Finsler geometry in terms of a ‘Teleparallel type’ connection.

关 键 词：Finsler geometry teleparallel gravity Finsler connection 

分 类 号：O186.12[理学—数学]