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World Scientific Publishing, International Journal of Geometric Methods in Modern Physics, 09(12), p. 1550095

DOI: 10.1142/s0219887815500954

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Noether Symmetry Approach for teleparallel-curvature cosmology

Journal article published in 2014 by Salvatore Capozziello ORCID, Mariafelicia De Laurentis, Ratbay Myrzakulov
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This paper is available in a repository.

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Abstract

We consider curvature-teleparallel F(R,T) gravity, where the gravitational Lagrangian density is given by an arbitrary function of the Ricci scalar R and the torsion scalar T. Using the Noether Symmetry Approach, we show that the functional form of the F(R,T) function can be determined by the presence of symmetries. Furthermore, we obtain exact solutions through the presence of conserved quantities and the reduction of cosmological dynamical system. Example of particular cosmological models are considered.