Hamiltonian perturbation theory in f(R) gravity
General Relativity and Quantum Cosmology
2010-04-29 v1 Cosmology and Nongalactic Astrophysics
Abstract
Hamiltonian perturbation theory is used to analyse the stability of f(R) models. The Hamiltonian equations for the metric and its momentum conjugate are written for f(R) Lagrangian in the presence of perfect fluid matter. The perturbations examined are perpendicular to R. As perturbations are added to the metric and momentum conjugate to the induced metric instabilities are found, depending on the form of f(R). Thus the examination of these instabilities is a way to rule out certain f(R) models.
Cite
@article{arxiv.0910.5659,
title = {Hamiltonian perturbation theory in f(R) gravity},
author = {Tuomas Multamäki and Jaakko Vainio and Iiro Vilja},
journal= {arXiv preprint arXiv:0910.5659},
year = {2010}
}
Comments
16 pages