https://doi.org/10.1140/epjc/s10052-018-5533-6
Regular Article - Theoretical Physics
Stability of Einstein static universe in gravity theory with a non-minimal derivative coupling
1
Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, Hunan, 410081, China
2
School of Physics and Electronic Science, Zunyi Normal College, Zunyi, 563006, China
3
Center for High Energy Physics, Peking University, Beijing, 100080, China
* e-mail: hwyu@hunnu.edu.cn
Received:
30
June
2017
Accepted:
7
January
2018
Published online:
20
January
2018
The emergent mechanism provides a possible way to resolve the big-bang singularity problem by assuming that our universe originates from the Einstein static (ES) state. Thus, the existence of a stable ES solution becomes a very crucial prerequisite for the emergent scenario. In this paper, we study the stability of an ES universe in gravity theory with a non-minimal coupling between the kinetic term of a scalar field and the Einstein tensor. We find that the ES solution is stable under both scalar and tensor perturbations when the model parameters satisfy certain conditions, which indicates that the big-bang singularity can be avoided successfully by the emergent mechanism in the non-minimally kinetic coupled gravity.
© The Author(s), 2018
