Dynamical system analysis in teleparallel gravity with boundary term

Abstract

In this paper, we perform the dynamical system analysis of the cosmological models framed in the extended teleparallel gravity, the $f(T,B)$ gravity. We use the mapping, $f(T,B)$ $\to$-$T$+$\tilde{f}(T,B)$, and define the dynamical variables to form the autonomous dynamical system. The critical points are obtained in two well-motivated forms of $f(T,B)$, one that involves the logarithmic form of the boundary term B, and the other one is the non-linear form of the boundary term. The position of critical points is shown in the different evolutionary phases of the Universe such as radiation, matter, and de-Sitter phase. The stability condition of each of the critical points of both the models is derived and the behavior of each point has been obtained mathematically and through the phase portrait. The evolution of standard density parameters such as radiation (${\Omega }_r$), matter (${\Omega }_m$), and dark energy (${\Omega }_{DE}$) are also analyzed. Further to connect with the present cosmological scenario, the behavior of deceleration and equation of state parameter both in the dark energy phase (${\omega }_{DE}$) and total (${\omega }_{tot}$) are shown from the initial condition of the dynamical variables. The accelerating behaviour has been obtained for both models.

15 pages, 10 figures, 8 tables

References in corpus (13)

• Dark torsion as the cosmic speed-up
• Modified teleparallel gravity: inflation without inflaton
• On Born-Infeld Gravity in Weitzenbock spacetime
• $f(T,\mathcal{T})$ gravity and cosmology
• Teleparallel equivalent of Gauss-Bonnet gravity and its modifications
• Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology
• Dynamical behavior in $f(T,T_G)$ cosmology
• Cosmological bouncing solutions in f(T,B) gravity
• Dynamical system analysis for accelerating models in non-metricity $f(Q)$ gravity
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Dynamical Stability Analysis of Accelerating f(T) Gravity Models
• Stability of the flat FLRW metric in $f(T)$ gravity
• Dynamical complexity of the Teleparallel gravity cosmology

Cited by in corpus (13)

• Stability of $f(Q,B)$ Gravity via Dynamical System Approach: a Comprehensive Bayesian Statistical Analysis
• Cosmological fluids with boundary term couplings
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Cosmological Dynamics in Interacting Scalar-Torsion f(T,$\varphi$) Gravity: Investigating Energy and Momentum Couplings
• Dynamical system analysis in modified Galileon cosmology
• Constructing Viable Interacting Dark Matter and Dark Energy Models: A Dynamical Systems Approach
• Teleparallel Gravity and Quintessence: The Role of Nonminimal Boundary Couplings
• Dynamical System Analysis for Scalar Field Potential in Teleparallel Gravity
• Late Time Phenomena in $f(T,\mathcal{T})$ Gravity Framework: Role of $H_0$ Priors
• Cosmological Constraints on f(T,B) Gravity from Observations of Early and Late Universe
• Scalar perturbation and density contrast evolution in $f(Q,C)$ gravity
• Quantum cosmology in teleparallel gravity with a boundary term
• Dynamical systems approach to stellar modelling in $f(G,B)$ gravity