New exact solutions of Bianchi I, Bianchi III and Kantowski-Sachs spacetimes in scalar-coupled gravity theories via Noether gauge symmetries

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Camci U., YILDIRIM A., OZ I. B.

ASTROPARTICLE PHYSICS, vol.76, pp.29-37, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 76
  • Publication Date: 2016
  • Doi Number: 10.1016/j.astropartphys.2015.12.006
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.29-37
  • Keywords: Bianchi I spacetime, Bianchi III spacetime, Kantowski-Sachs spacetime, Scalar-coupled theory of gravity, Noether gauge symmetry, COSMOLOGICAL CONSTANT, INFLATION, ANISOTROPY
  • Akdeniz University Affiliated: Yes


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.