Anisotropic solution via Noether symmetry for f(R) Palatini gravity

KÜÇÜKAKÇA Y.

ASTROPHYSICS AND SPACE SCIENCE, vol.361, no.2, 2016 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 361 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1007/s10509-016-2667-6
  • Journal Name: ASTROPHYSICS AND SPACE SCIENCE
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: f(R) gravity, Palatini formalism, Noether symmetry, LRS Binachi I metric, DARK ENERGY, COSMOLOGICAL CONSEQUENCES, ACCELERATING UNIVERSE, NOTHER SYMMETRIES, MODEL, DYNAMICS
  • Akdeniz University Affiliated: Yes

Abstract

In this work, we consider the Palatini f(R) gravity theory with the matter dominated universe. Utilizing the dynamical equivalence between Palatini f(R) gravity and Brans-Dicke like scalar tensor theory, we obtain a point-like Lagrangian for the locally rotational symmetric Bianchi I space time. We determine the physically interesting functional forms of f(R) for this Lagrangian via Noether symmetry approach. We also explore some cosmological solutions of the field equations using these forms obtained by the existence of Noether symmetry. It is shown that these solutions are consistent with the accelerated behavior of the universe.