Matter density perturbations in modified gravity models with arbitrary coupling between matter and geometry

2008/11/30 by Savvas Nesseris · 122 citations
Physics and Astronomy · #Astrophysics #Big Bang nucleosynthesis #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Coupling (piping) #Coupling constant #Dark energy #Dark matter #Friedmann equations #Galaxies: Formation, Evolution, Phenomena #Gravitation #Mathematical physics #Nucleosynthesis #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Phenomenology (philosophy) #Physics #Quantum mechanics #Sigma #Stars #Theoretical physics #astro-ph #gr-qc

paper · pdf · doi:10.1103/physrevd.79.044015

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 79(4) (American Physical Society) · 9 pages, 3 figures, uses revtex4, added Appendix and references, minor changes, accepted in Phys. Rev. D (to appear)

arxiv created 2009/02/10 · openalex publication_date 2009/02/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider theories with an arbitrary coupling between matter and gravity and obtain the perturbation equation of matter on subhorizon scales. Also, we derive the effective gravitational constant G_eff and two parameters \ensuremathΣ and \ensuremathη, which along with the perturbation equation of the matter density are useful to constrain the theory from growth factor and weak lensing observations. Finally, we use a completely solvable toy model which exhibits nontrivial phenomenology to investigate specific features of the theory. We obtain the analytic solution of the modified Friedmann equation for the scale factor a in terms of time t and use the age of the oldest star clusters and the primordial nucleosynthesis bounds in order to constrain the parameters of our toy model.

Citations

• The one-loop effective action in phi4theory coupled non-linearly with the power of the curvature and the dynamical origin of the cosmological constant
• Quantum Fields in Curved Space
• Modified gravity with R –matter couplings and (non-)geodesic motion
• Dark energy: the equation of state description versus scalar-tensor or modified gravity
• Braneworld models of dark energy
• Evolution of density perturbations inf(R)gravity
• Scalar–tensor models of normal and phantom dark energy
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Constraints on linear negative potentials in quintessence and phantom models from recent supernova data
• Solar system constraints onRngravity
• Generalized Chaplygin gas, accelerated expansion, and dark-energy-matter unification
• The Supernova Legacy Survey: measurement of Ω_M, Ω_Λ andwfrom the first year data set
• Dynamics of dark energy
• Cosmological consequences of a rolling homogeneous scalar field
• Reconciling dark energy models withf(R)theories
• TestingΛCDMwith the growth functionδ(a): Current constraints
• One-loopf(R) gravity in de Sitter universe
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY
• Extended quintessence

Cited by

• Wormhole geometries supported by a nonminimal curvature-matter coupling
• Consistency of universally nonminimally coupledf(R,T,RμνTμν)theories
• Cosmological model in the framework of f(R,L_m) gravity with quadratic equation of state parameter
• Dynamics of scalar perturbations inf(R,T)gravity