The teleparallel equivalent of Newton-Cartan gravity
The teleparallel equivalent of Newton-Cartan gravity
复制标题
DOI：
10.1088/1361-6382/aad70d
复制
发表时间：
2018-09-20
影响因子：
3.5
通讯作者：
Teh, Nicholas J.
中科院分区：
文献类型：
--
作者：
Read, James;Teh, Nicholas J.
我们为牛顿-嘉当理论构建了远程平行化的概念，并证明该理论的远程平行等效物是牛顿引力；此外，我们证明这一结果与广义相对论中的远程平行化一致，并且可以通过对五维引力波解的远程平行等效值进行零约化来获得。因此，这项工作大大加强了四种理论之间的联系：牛顿-嘉当理论、牛顿引力理论、广义相对论和远平行引力。
We construct a notion of teleparallelization for Newton-Cartan theory, and show that the teleparallel equivalent of this theory is Newtonian gravity; furthermore, we show that this result is consistent with teleparallelization in general relativity, and can be obtained by null-reducing the teleparallel equivalent of a five-dimensional gravitational wave solution. This work thus strengthens substantially the connections between four theories: Newton-Cartan theory, Newtonian gravitation theory, general relativity, and teleparallel gravity.