NOTHER SYMMETRIES IN 4TH-ORDER COSMOLOGIES

Citation
S. Capozziello et R. Deritis, NOTHER SYMMETRIES IN 4TH-ORDER COSMOLOGIES, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 109(7), 1994, pp. 795-802
Citations number
36
Categorie Soggetti
Physics
ISSN journal
11241888
Volume
109
Issue
7
Year of publication
1994
Pages
795 - 802
Database
ISI
SICI code
1124-1888(1994)109:7<795:NSI4C>2.0.ZU;2-I
Abstract
We apply the so-called Nother Symmetry Approach to a generic fourth-or der theory of gravity f(R) to integrate the dynamics connected with th e pointlike FRW cosmological Lagrangian. We get interesting results wh en f(R) is-proportional-to R3/2, since in this case the equations of m otion are exactly solvable and solutions are physically relevant.