Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity

Abstract

We present a formalism to calculate the non-linear matter power spectrum in modified gravity models that explain the late-time acceleration of the Universe without dark energy. Any successful modified gravity models should contain a mechanism to recover General Relativity (GR) on small scales in order to avoid the stringent constrains on deviations from GR at solar system scales. Based on our formalism, the quasi non-linear power spectrum in the Dvali-Gabadadze-Porratti (DGP) braneworld models and $f(R)$ gravity models are derived by taking into account the mechanism to recover GR properly. We also extrapolate our predictions to fully non-linear scales using the Parametrized Post Friedmann (PPF) framework. In $f(R)$ gravity models, the predicted non-linear power spectrum is shown to reproduce N-body results. We find that the mechanism to recover GR suppresses the difference between the modified gravity models and dark energy models with the same expansion history, but the difference remains large at weakly non-linear regime in these models. Our formalism is applicable to a wide variety of modified gravity models and it is ready to use once consistent models for modified gravity are developed.

25 pages, 8 figures, comparison to N-body simulations in DGP added, published in PRD

References in corpus (27)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Measuring the dark side (with weak lensing)
• Distinguishing Modified Gravity from Dark Energy
• Dark Energy and Dark Gravity
• Searching for modified growth patterns with tomographic surveys
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• Observational Tests of Modified Gravity
• A Singularity Problem with f(R) Dark Energy
• Dark Energy versus Modified Gravity
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Relativistic stars in f(R) gravity, and absence thereof
• Non-linear evolution of f(R) cosmologies I: methodology
• Ghosts in the self-accelerating universe
• Non-linear interactions in a cosmological background in the DGP braneworld
• Can higher curvature corrections cure the singularity problem in f(R) gravity?
• Consistency test of general relativity from large scale structure of the Universe
• The cosmological constant and dark energy in braneworlds
• Nonlinear growth in modified gravity theories of dark energy
• Chasing the non-linear evolution of matter power spectrum with numerical resummation method: solution of closure equations
• Testing general relativity with the multipole spectra of the SDSS luminous red galaxies
• A Consistency Relation in Cosmology
• Detectability of a phantom-like braneworld model with the integrated Sachs-Wolfe effect
• Three-Point Correlations in f(R) Models of Gravity

Cited by in corpus (1)

• A Multi-Parameter Investigation of Gravitational Slip