Tensor stability in Born-Infeld determinantal gravity

Abstract

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 $\alpha <-1$, $\omega \ge -1/3$ and $\alpha =-1$, $\omega >0$. 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 $|\lambda |\ge 10^{-38}{\text{m}}^{-2}$ by resorting to the current bound on the speed of the gravitational waves.

arXiv comment14 pages, added a general discussion on the tensor stability in Sec. 3, and added Sec. 5 on the parameter constraint, published version

References in corpus (31)

• Particle Dark Matter: Evidence, Candidates and Constraints
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Modified teleparallel gravity: inflation without inflaton
• Dark Energy
• f(T) Gravity and local Lorentz invariance
• On Born-Infeld Gravity in Weitzenbock spacetime
• Cosmological perturbations in f(T) gravity
• Eddington's theory of gravity and its progeny
• Born-Infeld-Einstein Actions?
• Palatini approach to Born-Infeld-Einstein theory and a geometric description of electrodynamics
• Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?
• $f(T)$ gravity after GW170817 and GRB170817A
• Cosmological Perturbation in f(T) Gravity Revisited
• Polarization of gravitational waves in symmetric teleparallel theories of gravity and their modifications
• Gravitational Waves in Modified Teleparallel Theories
• A tensor instability in the Eddington inspired Born-Infeld Theory of Gravity
• The effective field theory approach of teleparallel gravity, $f(T)$ gravity and beyond
• Universe Driven by Perfect Fluid in Eddington-inspired Born-Infeld Gravity
• Linear perturbations in Eddington-inspired Born-Infeld gravity
• Constraints on Born-Infeld gravity from the speed of gravitational waves after GW170817 and GRB 170817A
• Matter Density Perturbations in Modified Teleparallel Theories
• Born-Infeld Determinantal gravity and the taming of the conical singularity in 3-dimensional spacetime
• Modified Eddington-inspired-Born-Infeld Gravity with a Trace Term
• Domain wall brane in a reduced Born-Infeld-$f(T)$ theory
• Black hole solutions in mimetic Born-Infeld gravity
• Cosmological singularities in Born-Infeld determinantal gravity
• Primordial brusque bounce in Born-Infeld determinantal gravity
• An analysis of Born-Infeld determinantal gravity in Weitzenbock spacetime
• Cosmology in a reduced Born-Infeld--$f(T)$ theory of gravity
• Stable Singularity-free Cosmological Solutions in non-projectable Horava-Lifshitz Gravity
• Nonsingular Promises from Born-Infeld Gravity

Cited by in corpus (1)

• Thick branes in Born-Infeld determinantal gravity in Weitzenböck spacetime