Using Noether symmetries to specify f(R) gravity

NEB 15 – Recent Developments in Gravity

Paliathanasis, Andronikos^1

Department of Physics, Section of Astronomy, Astrophysics and Mechanics, University of Athens, Panepistemiopolis, Athens 157 83, Greece^1

关键词: C modeling;    Cosmological modeling;    Field equation;    Geometric symmetry;    Noether symmetry;    Point symmetry;    Spacetime;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/453/1/012009/pdf
DOI  :  10.1088/1742-6596/453/1/012009

来源: IOP

【 摘 要 】

A detailed study of the modified gravity, f(R) models is performed, using the fact that the Noether point symmetries of these models are geometric symmetries of the mini su-perspace of the theory. It is shown that the requirement that the field equations admit Noether point symmetries selects definite models in a self-consistent way. As an application in Cosmology we consider the Friedman -Robertson-Walker spacetime and show that the only cosmological model which is integrable via Noether point symmetries is the (Rb- 2Λ)cmodel, which generalizes the Lambda Cosmology. Furthermore using the corresponding Noether integrals we compute the analytic form of the main cosmological functions.