Dynamical systems analysis in $f(T,\varphi )$ gravity

Abstract

Teleparallel based cosmological models provide a description of gravity in which torsion is the mediator of gravitation. Several extensions have been made within the so-called Teleparallel equivalent of general relativity which is equivalent to general relativity at the level of the equations of motion where attempts are made to study the extensions of this form of gravity and to describe more general functions of the torsion scalar $T$. One of these extensions is $f(T,\varphi )$ gravity; $T$ and $\varphi$ respectively denote the torsion scalar and scalar field. In this work, the dynamical system analysis has been performed for this class of theories to obtain the cosmological behaviour of a number of models. Two models are presented here with some functional form of the torsion scalar and the critical points are obtained. For each critical point, the stability behaviour and the corresponding cosmology are shown. Through the graphical representation the equation of state parameter and the density parameters for matter-dominated, radiation-dominated and dark energy phase are also presented for both the models.

15 pages, 4 figures

References in corpus (16)

• Dynamics of dark energy
• Cosmology and the Fate of Dilatation Symmetry
• Dark torsion as the cosmic speed-up
• Einstein's Other Gravity and the Acceleration of the Universe
• Strong constraints on cosmological gravity from GW170817 and GRB 170817A
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• On Born-Infeld Gravity in Weitzenbock spacetime
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Dynamical Stability Analysis of Accelerating f(T) Gravity Models
• Stability of the flat FLRW metric in $f(T)$ gravity
• Gauge Structure of Teleparallel Gravity
• Constraining Teleparallel Gravity through Gaussian Processes
• Cosmological dynamics of dark energy in scalar-torsion $f(T,\varphi )$ gravity
• Reconstructing teleparallel gravity with cosmic structure growth and expansion rate data
• Stability of scalar perturbations in scalar-torsion $f(T,\varphi )$ gravity theories in the presence of a matter fluid
• Generating primordial fluctuations from modified teleparallel gravity with local Lorentz-symmetry breaking

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