Phys.Lett.B 780 (2018) 196-199 arXiv link
Gödel metrics with chronology protection in Horndeski gravities
Wei-Jian Geng1,∗, Shou-Long Li2,∗∗, H. Lu3,∗∗∗, Hao Wei2,∗∗∗∗
1. Department of Physics, Beijing Normal University, Beijing 100875, China
2. School of Physics, Beijing Institute of Technology, Beijing 100081, China
3. Department of Physics, Tianjin University, Tianjin 300350, China
∗ gengwj@mail.bnu.edu.cn
∗∗ sllee_phys@bit.edu.cn
∗∗∗ mrhonglu@gmail.com
∗∗∗∗ haowei@bit.edu.cn
Abstract:
Gödel universe, one of the most interesting exact solutions predicted by General Relativity, describes a homogeneous rotating universe containing naked closed time-like curves (CTCs). It was shown that such CTCs are the consequence of the null energy condition in General Relativity. In this paper, we show that the Gödel-type metrics with chronology protection can emerge in Einstein–Horndeski gravity. We construct such exact solutions also in Einstein–Horndeski–Maxwell and Einstein–Horndeski–Proca theories.
