Tensor stability in Born-Infeld determinantal gravity

• Published in: The European physical journal. C, Particles and fields Vol. 79; no. 9; pp. 1 - 12
• Main Authors: Yang, Ke, Zhang, Yu-Peng, Liu, Yu-Xiao
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2019; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Analysis; Astronomy; Astrophysics and Cosmology; Elementary Particles; Evolution; Gravitation; Gravitational waves; Hadrons; Heavy Ions; Inflation (Finance); Mathematical analysis; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Parameters; Perturbation; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Stability; String Theory; Tensors
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-019-7253-y

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 α < - 1 , ω ≥ - 1 / 3 and α = - 1 , ω > 0 . 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 | λ | ≥ 10 - 38 m - 2 by resorting to the current bound on the speed of the gravitational waves.