English

f(R) cosmology by Noether's symmetry

General Relativity and Quantum Cosmology 2010-02-10 v3

Abstract

A general approach to find out exact cosmological solutions in f(R)-gravity is discussed. Instead of taking into account phenomenological models, we assume, as a physical criterium, the existence of Noether symmetries in the cosmological f(R) Lagrangian. As a result, the presence of such symmetries selects viable models and allow to solve the equations of motion. We discuss also the case in which no Noether charge is present but general criteria can be used to achieve solutions.

Keywords

Cite

@article{arxiv.0804.2163,
  title  = {f(R) cosmology by Noether's symmetry},
  author = {Salvatore Capozziello and Antonio De Felice},
  journal= {arXiv preprint arXiv:0804.2163},
  year   = {2010}
}

Comments

23 pages, uses RevTeX

R2 v1 2026-06-21T10:30:31.696Z