Cosmological applications of $F(T,T_G)$ gravity

Abstract

We investigate the cosmological applications of $F(T,T_G)$ gravity, which is a novel modified gravitational theory based on the torsion invariant $T$ and the teleparallel equivalent of the Gauss-Bonnet term $T_G$. $F(T,T_G)$ gravity differs from both $F(T)$ theories as well as from $F(R,G)$ class of curvature modified gravity, and thus its corresponding cosmology proves to be very interesting. In particular, it provides a unified description of the cosmological history from early-times inflation to late-times self-acceleration, without the inclusion of a cosmological constant. Moreover, the dark energy equation-of-state parameter can be quintessence or phantom-like, or experience the phantom-divide crossing, depending on the parameters of the model.

arXiv comment10 pages, 4 figures, version published in Phys. Rev. D. arXiv admin note: substantial text overlap with arXiv:1404.2249

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• Cosmology in cubic and $f(P)$ gravity
• Noether Symmetries in Gauss-Bonnet-teleparallel cosmology
• Modified cosmology through Kaniadakis horizon entropy
• The effective field theory approach of teleparallel gravity, $f(T)$ gravity and beyond
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• Self-Gravitating Spherically Symmetric Solutions in Scalar-Torsion Theories
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• The Hidden Flat Like Universe: Starobinsky-like inflation induced by f(T) gravity
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• Generalized Second Law of Thermodynamic in Modified Teleparallel Theory
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• Observational Constraints and Cosmographic Analysis of $f(T,T_G)$ Gravity and Cosmology
• Hyperscaling violating black holes in scalar-torsion theories
• Noether Symmetries in $f(T,T_G)$ Cosmology
• Configurational Entropy and braneworlds in f(T,B) gravity
• A viable form of the metric Teleparallel F(T) theory of gravity
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