Bouncing solutions in $f(T)$ gravity

Abstract

We consider certain aspects of cosmological dynamics of a spatially curved Universe in $f(T)$ gravity. Local analysis allows us to find conditions for bounces and for static solutions; these conditions appear to be in general less restrictive than in general relativity. We also provide a global analysis of the corresponding cosmological dynamics in the cases when bounces and static configurations exist, by constructing phase diagrams. These diagrams indicate that the fate of a big contracting Universe is not altered significantly when bounces become possible, since they appear to be inaccessible by a sufficiently big Universe.

11 pages, 5 figures, v3: some corrections, published version

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Cited by in corpus (12)

• Matter Bounce Scenario and the Dynamical aspects in f(Q,T) Gravity
• Cosmological bouncing scenarios in symmetric teleparallel gravity
• Cosmic dynamics and qualitative study of Rastall model with spatial curvature
• Qualitative study of anisotropic Rastall cosmologies
• The dynamics of matter bounce cosmology in Weyl-type $f(Q,T)$ gravity
• Bounce Models within Teleparallel modified gravity
• $f(T)$ Cosmology with Nonzero Curvature
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Bianchi I cosmological solutions in teleparallel gravity
• Reconstruction of the singularity-free $f(\mathcal{R})$ gravity via Raychaudhuri equations
• Non-singular bouncing cosmology in $f(T,\mathcal{T})$ gravity with energy condition violations
• Static cosmological solutions in quadratic gravity