Dynamical systems analysis in f(T,ϕ) gravity

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 mot...

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 83; no. 1; p. 27
Main Authors Duchaniya, L. K., Kadam, S. A., Said, Jackson Levi, Mishra, B.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 17.01.2023
Springer Nature B.V
Subjects
Astronomical models
Astronomy
Astrophysics and Cosmology
Cosmology
Critical point
Dark energy
Elementary Particles
Equations of motion
Equations of state
Equivalence
Graphical representations
Gravitation
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Parameters
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Relativity
Scalars
String Theory
Systems analysis
Theory of relativity
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Summary: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 , ϕ ) gravity; T and ϕ 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.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-022-11155-6