Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach
General Relativity and Quantum Cosmology
2015-06-25 v1
Abstract
Higher-order corrections of Einstein-Hilbert action of general relativity can be recovered by imposing the existence of a Noether symmetry to a class of theories of gravity where Ricci scalar R and its d'Alembertian are present. In several cases, it is possible to get exact cosmological solutions or, at least, to simplify dynamics by recovering constants of motion. The main result is that a Noether vector seems to rule the presence of higher-order corrections of gravitaty.
Keywords
Cite
@article{arxiv.gr-qc/9912084,
title = {Higher-Order Corrections to the Effective Gravitational Action from Noether Symmetry Approach},
author = {S. Capozziello and G. Lambiase},
journal= {arXiv preprint arXiv:gr-qc/9912084},
year = {2015}
}
Comments
LaTex file, 16 pag., 2 tables, no figures, to appear in Gen. Rel. Grav