https://doi.org/10.1140/epjc/s10052-019-7253-y
Regular Article - Theoretical Physics
Tensor stability in Born-Infeld determinantal gravity
1
School of Physical Science and Technology, Southwest University, Chongqing, 400715, China
2
Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou, 730000, China
3
Key Laboratory for Magnetism and Magnetic of the Ministry of Education, Lanzhou University, Lanzhou, 730000, China
* e-mail: liuyx@lzu.edu.cn
Received:
19
May
2019
Accepted:
27
August
2019
Published online:
4
September
2019
We consider the transverse-traceless tensor perturbation of a spatial flat homogeneous and isotropic spacetime in Born-Infeld determinantal gravity, and investigate the evolution of the tensor mode for two solutions in the early universe. For the first solution where the initial singularity is replaced by a regular geometric de Sitter inflation of infinite duration, the evolution of the tensor mode is stable for the parameter spaces 
, 
and 
, 
. For the second solution where the initial singularity is replaced by a primordial brusque bounce, which suffers a sudden singularity at the bouncing point, the evolution of the tensor mode is stable for all regions of the parameter space. Our calculation suggests that the tensor evolution can hold stability in large parameter spaces, which is a remarkable property of Born-Infeld determinantal gravity. We also constrain the theoretical parameter 
by resorting to the current bound on the speed of the gravitational waves.
© The Author(s), 2019
