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f(R) scalar-tensor cosmology by Noether symmetry

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arxiv 1402.6521 v1 pith:A6A6KQBI submitted 2014-02-26 gr-qc

f(R) scalar-tensor cosmology by Noether symmetry

classification gr-qc
keywords noethersymmetrycosmologicalcosmologyscalar-tensoraccordingapproachbrans-dicke
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In the framework of f(R) scalar-tensor cosmology, we use the Noether symmetry approach to find the cosmological models consistent with the Noether symmetry. We obtain the functions f(R) and H(a), or the corresponding differential equations, according to specific choices for the scalar field potential V(\phi), the Brans-Dicke function \omega(\phi), some cosmological parameters, and the constants of motion.

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