Hamiltonian perturbation theory inf(R)gravity

2009/10/29 by Tuomas Multamäki, Jaakko Vainio, Iiro Vilja
Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computer science #Cosmology and Gravitation Theories #Mathematics #Particle physics theoretical and experimental studies #Physics #astro-ph.CO #gr-qc

paper · pdf · doi:10.1103/physrevd.81.064025

published as Phys.Rev.D81:064025,2010 · 16 pages

arxiv created 2009/10/29 · openalex publication_date 2010/03/18 · arxiv updated 2010/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Hamiltonian perturbation theory is used to analyze the stability of f(R) models. The Hamiltonian equations for the metric and its momentum conjugate are written for the 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.

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