Stability of modified gravity models

2005/11/16 by Valerio Faraoni, Shahn Nadeau · 13 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.72.124005

published as Phys.Rev.D72:124005,2005 · 22 pages, LaTeX, to appear in Phys. Rev. D

arxiv created 2005/11/16 · openalex publication_date 2005/12/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Conditions for the existence and stability of de Sitter space in modified gravity are derived by considering inhomogeneous perturbations in a gauge-invariant formalism. The stability condition coincides with the corresponding condition for stability with respect to homogeneous perturbations, while this is not the case in scalar-tensor gravity. The stability criterion is applied to various modified gravity models of the early and the present universe.

Citations

• First Estimations of Cosmological Parameters From BOOMERANG
• Mach's Principle and a Relativistic Theory of Gravitation
• Ghost constraints on modified gravity
• Quintessence and the Rest of the World
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Renormalization of higher-derivative quantum gravity
• Inflatonless inflation

Cited by

• Modifiedf(R)gravity unifyingRminflation with theΛCDMepoch
• The generalized virial theorem inf(R) gravity
• Thin accretion disks inf(R)modified gravity models
• The phase-space view of f ( R ) gravity
• The Cauchy problem of f ( R ) gravity
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Wormhole geometries inf(R)modified theories of gravity
• Stability off(R)black holes
• Dispersion of growth of matter perturbations inf(R)gravity
• Spherical symmetry in f ( R )-gravity
• Dynamical systems analysis of anisotropic cosmologies in R n -gravity
• Consistent long distance modification of gravity from inverse powers of the curvature
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields