Constraining f(T) gravity by dynamical system analysis

Abstract

We investigate the cosmological solutions of the $f(T)$ gravity theory using the method of dynamical systems. For this purpose a general form of the $f(T)$ function is considered and four conditions are defined that they have to satisfy in order to describe the standard cosmological history. We examine the power law, and another form of $f(T)$ against these conditions. For a power law function $f(T)=B(-T{)}^{\beta }$, $\beta$ must be less than one and unequal to $\frac{1}{2}$ to obtain a consistent cosmological model. We also investigate a model of inflation in this theory.

11 pages

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Cited by in corpus (26)

• Teleparallel Gravity: From Theory to Cosmology
• Dynamical systems applied to cosmology: dark energy and modified gravity
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• Covariant formulation of scalar-torsion gravity
• Cosmological bouncing solutions in f(T,B) gravity
• Dynamical systems approach and generic properties of $f(T)$ cosmology
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• Phase Portraits of general f(T) Cosmology
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• Noether Symmetries in $f(T,T_G)$ Cosmology
• Dynamical Complexity in Teleparallel Gauss-Bonnet Gravity
• Dynamic properties of cyclic cosmologies
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• Teleparallel gravity: Effects of torsion in 6D braneworlds
• Dynamical System Analysis for Scalar Field Potential in Teleparallel Gravity
• D=11 cosmologies with teleparallel structure
• Production of Primordial Gravitational Waves in Teleparallel Gravity