论文标题
Bianchi I型公制的四维爱因斯坦 - 加斯 - 邦网重力和Horndeksi重力的非实现等效性
Non-full equivalence of the four-dimensional Einstein-Gauss-Bonnet gravity and Horndeksi gravity for Bianchi type I metric
论文作者
论文摘要
提出了四维爱因斯坦 - 加斯 - 鲍尼特（4DEGB）重力，作为具有重新耦合常数的高维EGB重力的奇异极限。后续工作表明4DEGB重力可能等效于特殊的Horndeski重力。但是，这两种理论的全部等效性尚未得到证明。在本文中，我们测试了Bianchi I型度量的可能等效性。我们考虑了4DEGB重力中额外尺寸的两个对称选择，并获得理论的显式宇宙进化方程。我们的结果表明，对于一种对称选择，4DEGB重力与特殊的Horndeski重力之间存在对应关系。但是，对于其他对称选择，两种理论之间没有对应关系。因此，4DEGB重力不等于一般情况的特殊Horndeski重力。
The four-dimensional Einstein-Gauss-Bonnet (4DEGB) gravity is proposed as a singular limit of the higher-dimensional EGB gravity with a rescaled coupling constant. Follow-up work indicates that the 4DEGB gravity may be equivalent to a special Horndeski gravity. However, the full equivalence of the two theories has not been proven. In this paper, we test the possible equivalence for Bianchi type I metric. We consider two symmetry choices of the extra dimensions in the 4DEGB gravity and obtain the explicit cosmological evolution equations of the theories. Our result shows that, for one symmetry choice, there is a correspondence between the 4DEGB gravity and the special Horndeski gravity. However, for the other symmetry choice, there is no correspondence between the two theories. Therefore, the 4DEGB gravity is not equivalent to the special Horndeski gravity for the general case.
