f(R) cosmology from Noether’s symmetry

By Salvatore Capozziello, Antonio de Felice. 2008

151 citations recorded by the source corpus.

A general approach for finding exact cosmological solutions in f(R) gravity is discussed. Instead of taking into account phenomenological models, we assume, as a physical criterion, the existence of Noether symmetries in the cosmological f(R) Lagrangian. As a result, the presence of such symmetries leads to the selection of viable models and allows us 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a1b0b29bbd83f226e535cce9f8bd6a8f4ee20903

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Citations in the corpus

f(R) Theories (2010, background): “The action for metric f (R) gravity can be evaluated on a FLRW background, in terms of the fields a(t) and R(t), see [125, 124] (and also [129, 128, 415, 433, 429, 604, 603, 199, 200, 132]).”
f(T) teleparallel gravity and cosmology (2015, background): “As we know, Noether symmetry can be a useful tool to obtain specific solutions motivated at a fundamental level [447, 448, 452, 453].”