String-inspired Teleparallel Cosmology

Abstract

The present paper represents an attempt for a very generic string inspired theory of gravitation, based on a stringy action in the teleparallel gravity which includes a specific functional which depends on the scalar field and its kinetic energy, as well as the torsion and boundary terms, embedding also possible effects from the teleparallel Gauss--Bonnet invariants. We focus our study on FLRW cosmology. After we deduce the cosmological equations for the associated generic theory of gravitation, we focus on string inspired couplings which are studied by considering different analytical techniques. The first analytical technique is based on the linear stability theory, by introducing proper dimensionless variables which enables us to study the structure of the phase space and the associated physical effects. In this case, we have obtained different cosmological solutions which correspond to matter and dark energy dominated solutions, achieving a possible transition between matter and dark energy dominated epochs. For each type of cosmological solutions, we have discussed the corresponding physical features, attaining viable constraints for the coupling constants due to dynamical effects. The dynamical study of the physical features included also a numerical analysis by fine--tuning the initial conditions deep into the matter era, obtaining possible trajectories for the effective equation of state for specific coupling functions.

arXiv comment18 pages. Matches published version in NPB

References in corpus (67)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Statefinder -- a new geometrical diagnostic of dark energy
• f(T) teleparallel gravity and cosmology
• Modified teleparallel gravity: inflation without inflaton
• Exploring the Expanding Universe and Dark Energy using the Statefinder Diagnostic
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Gauss-Bonnet dark energy
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• On Born-Infeld Gravity in Weitzenbock spacetime
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Cosmological scaling solutions of non-minimally coupled scalar fields
• Matter Bounce Cosmology with the f(T) Gravity
• Singularity-free cosmological solutions of the superstring effective action
• Equation of state for dark energy in $f(T)$ gravity
• Elements of String Cosmology
• The covariant formulation of f(T) gravity
• Modified teleparallel theories of gravity
• Extended Gravity Cosmography
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• "Teleparallel" Dark Energy
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Scalar-Tensor Gravity and Quintessence
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Good and bad tetrads in f(T) gravity
• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• $f(T)$ models with phantom divide line crossing
• Constraints on linear-negative potentials in quintessence and phantom models from recent supernova data
• The Graceful Exit Problem in String Cosmology
• Phase-Space analysis of Teleparallel Dark Energy
• Dilaton Production in String Cosmology
• Instability of 1-loop superstring cosmology
• Dynamical behavior in $f(T,T_G)$ cosmology
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• Singularity-free cosmological solutions in quadratic gravity
• Slow-roll inflation with a Gauss-Bonnet correction
• String-Inspired Higher-Curvature Terms and the Randall-Sundrum Scenario
• Gauss-Bonnet Inflation
• Cosmological applications of $F(T,T_G)$ gravity
• Can Horndeski Theory be recast using Teleparallel Gravity?
• One-Loop Superstring Cosmology and the Non-Singular Universe
• Power spectra from an inflaton coupled to the Gauss-Bonnet term
• $f(T)$ gravity after GW170817 and GRB170817A
• Viable Inflation in Scalar-Gauss-Bonnet Gravity and Reconstruction from Observational Indices
• Tree-level String Cosmology
• New classes of modified teleparallel gravity models
• Inflation coupled to a Gauss-Bonnet term
• Perturbation, Non-Gaussianity and Reheating in a GB-$\alpha$-Attractor Model
• Dynamical systems approach and generic properties of $f(T)$ cosmology
• Inflation driven by Einstein-Gauss-Bonnet gravity
• Generalized $f(R,\varphi ,X)$ gravity and the late-time cosmic acceleration
• Modified teleparallel theories of gravity -- Gauss-Bonnet and trace extensions
• Teleparallel quintessence with a nonminimal coupling to a boundary term
• Constraining Generalized Non-local Cosmology from Noether Symmetries
• Reviving Horndeski Theory using Teleparallel Gravity after GW170817
• Reheating in Gauss-Bonnet-coupled inflation
• Accelerating Universes in String Theory via Field Redefinition
• Dark energy generated from a (super)string effective action with higher order curvature corrections and a dynamical dilaton
• Nonlocal Teleparallel Cosmology
• Generalised teleparallel quintom dark energy non-minimally coupled with the scalar torsion and a boundary term
• Generalized Second Law of Thermodynamic in Modified Teleparallel Theory
• Noether symmetries and boundary terms in extended Teleparallel gravity cosmology
• Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries
• Generalized Tachyonic Teleparallel cosmology
• Teleparallel Equivalent of Lovelock Gravity, Generalizations and Cosmological Applications
• Scalar-Tensor Quintessence with a linear potential: Avoiding the Big Crunch cosmic doomsday

Cited by in corpus (8)

• Teleparallel Gravity: From Theory to Cosmology
• Black Holes in $f(T,B)$ Gravity: Exact and Perturbed Solutions
• Scalarized Black Holes in Teleparallel Gravity
• Spontaneous Scalarization of Black Holes in Gauss-Bonnet Teleparallel Gravity
• Constraints on Cubic and $f(P)$ Gravity from the Cosmic Chronometers, BAO & CMB datasets : Use of Machine Learning Algorithms
• Symmetric Teleparallel Gauss-Bonnet Gravity and its Extensions
• Anisotropic cosmology using observational datasets: exploring via machine learning approaches
• Global portraits of nonminimal teleparallel inflation