Noether Symmetry Approach in $f(T,B)$ teleparallel cosmology

Abstract

We consider the cosmology derived from $f(T,B)$ gravity where $T$ is the torsion scalar and $B=\frac{2}{e}{\partial }_{\mu }(e{T}^{\mu })$ a boundary term. In particular we discuss how it is possible to recover, under the same standard, the teleparallel $f(T)$ gravity, the curvature $f(R)$ gravity and the teleparallel-curvature $f(R,T)$ gravity, which are particular cases of $f(T,B)$. We adopt the Noether Symmetry Approach to study the related dynamical systems and to find out cosmological solutions.

21 pages

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• Non-Local Gravity Cosmology: an Overview
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• Gravitoelectromagnetism, Solar System Test and Weak-Field Solutions in $f(T,B)$ Gravity with Observational Constraints
• Minisuperspace quantum cosmology in $f(Q)$ gravity
• Exact Spherically Symmetric Solutions in Modified Teleparallel gravity
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• Dynamical complexity of the Teleparallel gravity cosmology
• Dynamical system analysis in teleparallel gravity with boundary term
• Classification of Teleparallel Horndeski Cosmology via Noether Symmetries
• Fermion localization in braneworld teleparallel f(T,B) gravity
• Unified dark sectors in scalar-torsion theories of gravity
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• Multiscalar-torsion Cosmology: Exact and Analytic Solutions from Noether Symmetries
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• The Equivalence Principle as a Noether Symmetry
• Visible Energy Alternative to Dark Energy
• Propagating Gravitational Waves in Teleparallel Gauss-Bonnet Gravity
• String-like brane splitting in the context of $f(T,B)$ gravity
• Cosmological Constraints on f(T,B) Gravity from Observations of Early and Late Universe
• Precision Cosmology in Modified and Extended Theories of Gravity: an insightful test
• The first non-static inhomogeneous exact solution in $f(T,B)$ gravity
• Production of Primordial Gravitational Waves in Teleparallel Gravity