Journal
ASTROPARTICLE PHYSICS
Volume 76, Issue -, Pages 29-37Publisher
ELSEVIER
DOI: 10.1016/j.astropartphys.2015.12.006
Keywords
Bianchi I spacetime; Bianchi III spacetime; Kantowski-Sachs spacetime; Scalar-coupled theory of gravity; Noether gauge symmetry
Funding
- Scientific Research Projects Coordination Unit of Akdeniz University (BAP) [2013.01.115.003]
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The Noether symmetry approach is useful tool to restrict the arbitrariness in a gravity theory when the equations of motion are underdetermined due to the high number of functions to be determined in the ansatz. We consider two scalar-coupled theories of gravity, one motivated by induced gravity, the other more standard; in Bianchi I, Bianchi III and Kantowski-Sachs cosmological models. For these models, we present a full set of Noether gauge symmetries, which are more general than those obtained by the strict Noether symmetry approach in our recent work. Some exact solutions are derived using the first integrals corresponding to the obtained Noether gauge symmetries. (C) 2015 Elsevier B.V. All rights reserved.
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