Scalar-Tensor Teleparallel Gravity With Boundary Term by Noether Symmetries

Abstract

In the framework of teleparallel gravity, the Friedman-Robertson-Walker cosmological model with scalar tensor theory where scalar field is non-minimally coupled to both the torsion scalar and boundary term is studied. Utilizing the Noether symmetry approach in such a theory, we obtain the explicit forms of the couplings and potential as a function the scalar field. We present some important cosmological solutions for the modified field equations using these functions getting via the Noether symmetry approach. Finally, the interesting cosmological properties of these solutions are discussed in detail, and it is shown that they can describe a universe lead to the late time accelerating expansion.

9 pages, 5 figures

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• Teleparallel Gravity: From Theory to Cosmology
• Higgs inflation and teleparallel gravity
• Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
• Noether symmetries and boundary terms in extended Teleparallel gravity cosmology
• Unified dark sectors in scalar-torsion theories of gravity
• Generalized Tachyonic Teleparallel cosmology
• String-inspired Teleparallel Cosmology
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• Dynamics of a higher-dimension Einstein-Scalar-Gauss-Bonnet cosmology
• Teleparallel Gravity and Quintessence: The Role of Nonminimal Boundary Couplings
• Global portraits of nonminimal teleparallel inflation
• Quantum cosmology in teleparallel gravity with a boundary term