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Noether symmetries and boundary terms in extended Teleparallel gravity cosmology

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arxiv 1807.02891 v3 pith:5EC2LM4C submitted 2018-07-08 gr-qc

Noether symmetries and boundary terms in extended Teleparallel gravity cosmology

classification gr-qc
keywords boundarycosmologyexactextendedgravitymodelsnoethersolutions
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss an extended Teleparallel gravity models comprising functions of scalar invariants constructed by torsion, torsion Gauss-Bonnet and boundary terms. We adopt the Noether Symmetry Approach to select the functional forms, the first integrals and, eventually, the exact solutions of the dynamics in the context of flat Friedman-Robertson-Walker cosmology. Standard perfect fluid matter, minimally coupled to geometry, is considered. Several physically consistent models are derived with related exact solutions.

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