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Scalar–tensor teleparallel gravity with boundary term by Noether symmetries

G. Gecim

Department of Physics, Faculty of Science, Akdeniz University, 07058 Antalya, Turkey

E-mail Address: gecimganim@gmail.com

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and

Y. Kucukakca

Department of Physics, Faculty of Science, Akdeniz University, 07058 Antalya, Turkey

E-mail Address: ykucukakca@akdeniz.edu.tr

Corresponding author.

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https://doi.org/10.1142/S0219887818501517Cited by:22 (Source: Crossref)

Abstract

In the framework of teleparallel gravity, the Friedman–Robertson–Walker (FRW) 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 of the scalar field. We present some important cosmological solutions for the modified field equations using these functions gotten 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 leading to the late-time accelerating expansion.

Keywords:

AMSC: 35B06, 83F05

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