论文标题
时空对称性和对称解决方案的快速指南
A quick guide to spacetime symmetry and symmetric solutions in teleparallel gravity
论文作者
论文摘要
时空对称性的概念对于描述引诱物理系统(如行星,恒星,黑洞或整个宇宙),因为它们至少具有良好的近似,球形,轴向或空间均匀和同性恋对称性。本文对远程平行重力中的时空对称性的已知事实进行了快速概述。介绍了Weitzenbck仪表中最通用的球形,轴向或空间均质和各向同性四核,并简要讨论了$ f(T,B,ϕ,ϕ,X)$ f(T,B,X,X)$ f(t,b,x)$的对称解。
The notion of spacetime symmetry is essential to describe gravitating physical systems like planets, stars, black holes, or the universe as a whole, since they possess, at least to good approximation, spherical, axial, or spatially homogeneous and isotropic symmetry, respectively. This article gives a quick overview over the known facts on spacetime symmetries in teleparallel gravity. The most general spherical, axial, or spatially homogeneous and isotropic tetrads in Weitzenbck gauge are presented and a brief discussion about symmetric solutions of the anti-symmetric field equations in $f(T,B,ϕ,X)$-gravity is given.