Noether gauge symmetry for f(R) gravity in Palatini formalism

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KUCUKAKCA Y., Camci U.

ASTROPHYSICS AND SPACE SCIENCE, cilt.338, sa.1, ss.211-216, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 338 Sayı: 1
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s10509-011-0921-5
  • Dergi Adı: ASTROPHYSICS AND SPACE SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.211-216
  • Anahtar Kelimeler: f(R) gravity, Palatini formalism, Noether gauge symmetry, COSMOLOGICAL MODELS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study, we consider a flat Friedmann-Robertson-Walker (FRW) universe in the context of Palatini f(R) theory of gravity. Using the dynamical equivalence between f(R) gravity and scalar-tensor theories, we construct a point Lagrangian in the flat FRW spacetime. Applying Noether gauge symmetry approach for this f(R) Lagrangian we find out the form of f(R) and the exact solution for cosmic scale factor. It is shown that the resulting form of f(R) yield a power-law expansion for the scale factor of the universe.