Noether gauge symmetry for $f(R)$ gravity in Palatini formalism
| Autor: | Kucukakca, Y., Camci, U. |
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| Rok vydání: | 2011 |
| Předmět: | |
| Zdroj: | Astrophys.Space Sci.338 (2012) 211-216 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10509-011-0921-5 |
| Popis: | 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 {\em 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. Comment: 7 pagese, no figures; Published in Astrophysics & Space Science. Some minor corrections have been made |
| Databáze: | arXiv |
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