Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-10-29
Phys.Rev.D81:064025,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
16 pages
Scientific paper
10.1103/PhysRevD.81.064025
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.
Multamaki Tuomas
Vainio Jaakko
Vilja Iiro
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