Cosmological bouncing solutions in f(T,B) gravity

Abstract

Teleparallel Gravity offers the possibility of reformulating gravity in terms of torsion by exchanging the Levi-Civita connection with the Weitzenböck connection which describes torsion rather than curvature. Surprisingly, Teleparallel Gravity can be formulated to be equivalent to general relativity for a appropriate setup. Our interest lies in exploring an extension of this theory in which the Lagrangian takes the form of $f(T,B)$ where T and B are two scalars that characterize the equivalency with general relativity. In this work, we explore the possible of reproducing well-known cosmological bouncing scenarios in the flat Friedmann-Lemaître-Robertson-Walker geometry using this approach to gravity. We study the types of gravitational Lagrangians which are capable of reconstructing analytical solutions for symmetric, oscillatory, superbounce, matter bounce, and singular bounce settings. These new cosmologically inspired models may have an effect on gravitational phenomena at other cosmological scales.

References in corpus (44)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• Quantum Nature of the Big Bang: Improved dynamics
• Einstein's Other Gravity and the Acceleration of the Universe
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Quantum Nature of the Big Bang
• The teleparallel equivalent of general relativity
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• On Born-Infeld Gravity in Weitzenbock spacetime
• Towards a Nonsingular Bouncing Cosmology
• Cosmological perturbations in f(T) gravity
• Inflationary cosmology in modified gravity theories
• New Ekpyrotic Cosmology
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Good and bad tetrads in f(T) gravity
• Bouncing Universe with Quintom Matter
• Solar system constraints on f(T) gravity
• A f(R) gravity without cosmological constant
• Exploring Bouncing Cosmologies with Cosmological Surveys
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Mimetic $F(R)$ gravity: inflation, dark energy and bounce
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Dynamical behavior in $f(T,T_G)$ cosmology
• A new kind of cyclic universe
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Cosmological applications of $F(T,T_G)$ gravity
• Weak-Field Spherically Symmetric Solutions in $f(T)$ gravity
• Non-Gaussianity in a Matter Bounce
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• The Matter Bounce Alternative to Inflationary Cosmology
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• Stability of the flat FLRW metric in $f(T)$ gravity
• Model-independent reconstruction of $f(T)$ teleparallel cosmology
• Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials
• Astronomical bounds on future big freeze singularity
• de Sitter and Scaling solutions in a higher-order modified teleparallel theory
• Bouncing Universes in Scalar-Tensor Gravity Models admitting Negative Potentials
• Finite-time future singularities models in $f(T)$ gravity and the effects of viscosity
• Cosmology of F(T) gravity and k-essence
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Noether symmetry in $f(T)$ teleparallel gravity
• Reconstruction of $f(R)$, $f(T)$ and $f(\mathcal{G})$ models inspired by variable deceleration parameter
• Spin and Anholonomy in General Relativity