Matter instabilities in general Gauss-Bonnet gravity

Abstract

We study the evolution of cosmological perturbations in f(G) gravity, where the Lagrangian is the sum of a Ricci scalar R and an arbitrary function f in terms of a Gauss-Bonnet term G. We derive the equations for perturbations assuming matter to be described by a perfect fluid with a constant equation of state w. We show that density perturbations in perfect fluids exhibit negative instabilities during both the radiation and the matter domination, irrespective of the form of f(G). This growth of perturbations gets stronger on smaller scales, which is difficult to be compatible with the observed galaxy spectrum unless the deviation from General Relativity is very small. Thus f(G) cosmological models are effectively ruled out from this Ultra-Violet instability, even though they can be compatible with the late-time cosmic acceleration and local gravity constraints.

9 pages, 2 figures, published PRD version

References in corpus (24)

• Dynamics of dark energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Conditions for the cosmological viability of f(R) dark energy models
• The Large Scale Structure of f(R) Gravity
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Construction of cosmologically viable f(G) gravity models
• The Cosmology of f(R) Gravity in the Metric Variational Approach
• The Cosmology of Modified Gauss-Bonnet Gravity
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Stability of Cosmological Solution in f(R) Models of Gravity
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• Weak Lensing Probes of Modified Gravity
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• Solar system constraints on f(G) gravity models
• Ghost conditions for Gauss-Bonnet cosmologies
• Solar System Constraints on Gauss-Bonnet Mediated Dark Energy
• Vacuum structure for scalar cosmological perturbations in Modified Gravity Models
• The effect of modified gravity on weak lensing
• Post-Newtonian expansion for Gauss-Bonnet Gravity
• Realizing Scale-invariant Density Perturbations in Low-energy Effective String Theory

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