https://doi.org/10.1140/epjc/s10052-019-7038-3
Regular Article - Theoretical Physics
Cosmology in symmetric teleparallel gravity and its dynamical system
Department of Physics, Liaoning Normal University, Dalian, 116029, People’s Republic of China
* e-mail: lvjianbo819@163.com
Received:
28
February
2019
Accepted:
10
June
2019
Published online:
20
June
2019
We explore an extension of the symmetric teleparallel gravity denoted the f(Q) theory, by considering a function of the nonmetricity invariant Q as the gravitational Lagrangian. Some interesting properties could be found in the f(Q) theory by comparing with the f(R) and f(T) theories. The field equations are derived in the f(Q) theory. The cosmological application is investigated. In this theory the accelerating expansion is an intrinsic property of the universe geometry without need of either exotic dark energy or extra fields. And the state equation of the geometrical dark energy can cross over the phantom divide line in the f(Q) theory. In addition, the dynamical system method are investigated. It is shown that there are five critical points in the STG model for taking 
. The critical points 
and 
are stable. corresponds to the geometrical dark energy dominated de Sitter universe (
), while corresponds to the matter dominated universe (
). Given that represents an attractor, the cosmological constant problems, such as the fine tuning problem, could be solved in the STG model.
© The Author(s), 2019
