Dynamics in interacting scalar-torsion theory

Abstract

In a spatially flat \ Friedmann--Lema\^ıtre--Robertson--Walker background space we consider a scalar-torsion gravitational model which has similar properties with the dilaton theory. This teleparallel model is invariant under a discrete transformation similar to the Gasperini-Veneziano duality transformation. Moreover, in the gravitational Action integral we introduce the Lagrangian function of a pressureless fluid source which is coupled to the teleparallel dilaton field. This specific gravitational theory with interaction in the dark sector of the universe is investigated by using methods of the dynamical system analysis. We calculate that the theory provides various areas of special interest for the evolution of the cosmological history. Inflationary scaling solutions and the de Sitter universe is recovered. Furthermore, we calculate that there exist an attractor which provides a stable solution where the two fluid components, the scalar field and the pressureless matter, contribute in the cosmological fluid. This solution is of special interest because it can describe the present epoch. Finally, the qualitative evolution of the cosmographic parameters is discussed.

arXiv comment19 pages, 4 figures, to appear in Universe, Special Issue: "Probing the Dark Universe with Theory and Observations"

References in corpus (49)

• Modified Gravity and Cosmology
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• In the Realm of the Hubble tension $-$ a Review of Solutions
• Coupled Quintessence
• Curvature Quintessence
• Modified teleparallel gravity: inflation without inflaton
• Modern tests of Lorentz invariance
• Pre-Big-Bang in String Cosmology
• Jerk, snap, and the cosmological equation of state
• Teleparallel Gravity: From Theory to Cosmology
• Cosmological perturbations in f(T) gravity
• Teleparallel Theories of Gravity: Illuminating a Fully Invariant Approach
• Tale of stable interacting dark energy, observational signatures, and the $H_0$ tension
• "Teleparallel" Dark Energy
• f(T) gravity mimicking dynamical dark energy. Background and perturbation analysis
• Consequences of dark matter-dark energy interaction on cosmological parameters derived from SNIa data
• Theoretical Models of Dark Energy
• Phase-Space analysis of Teleparallel Dark Energy
• Cosmological Solutions of $f(T)$ Gravity
• Dark Interactions and Cosmological Fine-Tuning
• Structure formation in $f(T)$ gravity and a solution for $H_0$ tension
• Observational Constraints on Teleparallel Dark Energy
• Covariant formulation of scalar-torsion gravity
• Dynamics of Teleparallel Dark Energy
• Perturbations in a coupled scalar field cosmology
• A new interacting two fluid model and its consequences
• Nonlinear interacting cosmological models after Planck 2018 legacy release and the $H_0$ tension
• Field theoretic interpretations of interacting dark energy scenarios and recent observations
• Translation of Einstein's Attempt of a Unified Field Theory with Teleparallelism
• Growth of matter perturbations in non-minimal teleparallel dark energy
• Probing the cosmographic parameters to distinguish between dark energy and modified gravity models
• Cosmological dynamics with non-linear interactions
• Constraining f(T) gravity in the Solar System
• Propagation of gravitational waves in teleparallel gravity theories
• Dynamics of nonlinear interacting dark energy models
• Cosmological constraints on an exponential interaction in the dark sector
• Scalar-torsion theories of gravity I: general formalism and conformal transformations
• Scalar-torsion theories of gravity II: $L(T,X,Y,\varphi )$ theory
• de Sitter and Scaling solutions in a higher-order modified teleparallel theory
• A cosmographic analysis of holographic dark energy models
• Dynamical complexity of the Brans-Dicke cosmology
• Higgs inflation and teleparallel gravity
• Generalised teleparallel quintom dark energy non-minimally coupled with the scalar torsion and a boundary term
• Gravitationally Induced Particle Production through a Nonminimal Torsion-Matter Coupling
• Violation of causality in $f(T)$ gravity
• Dark Matter-Dark Energy Interaction and the Shape of Cosmic Voids
• Integrability and Cosmological Solutions in Einstein-aether-Weyl theory
• Inhomogeneous spacetimes in Weyl integrable geometry with matter source
• APPLIED COSMOGRAPHY: A Pedagogical Review

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• Dynamical system analysis in modified Galileon cosmology
• Constraining $f(T,B,T_G,B_G)$ gravity by dynamical system analysis
• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
• Cosmological Dynamics in Interacting Scalar-Torsion f(T,$\varphi$) Gravity: Investigating Energy and Momentum Couplings
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