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Title:
Nonlinear evolution of f(R) cosmologies. I. Methodology
Authors:
Oyaizu, Hiroaki
Affiliation:
AA(Department of Astronomy and Astrophysics, University of Chicago, Chicago, Illinois 60637, USA; Kavli Institute for Cosmological Physics, University of Chicago, Chicago, Illinois 60637, USA)
Publication:
Physical Review D, vol. 78, Issue 12, id. 123523 (PhRvD Homepage)
Publication Date:
12/2008
Origin:
APS
Abstract Copyright:
(c) 2008: The American Physical Society
DOI:
10.1103/PhysRevD.78.123523
Bibliographic Code:
2008PhRvD..78l3523O

Abstract

We introduce the method and the implementation of a cosmological simulation of a class of metric-variation f(R) models that accelerate the cosmological expansion without a cosmological constant and evade solar-system bounds of small-field deviations to general relativity. Such simulations are shown to reduce to solving a nonlinear Poisson equation for the scalar degree of freedom introduced by the f(R) modifications. We detail the method to efficiently solve the nonlinear Poisson equation by using a Newton-Gauss-Seidel relaxation scheme coupled with the multigrid method to accelerate the convergence. The simulations are shown to satisfy tests comparing the simulated outcome to analytical solutions for simple situations, and the dynamics of the simulations are tested with orbital and Zeldovich collapse tests. Finally, we present several static and dynamical simulations using realistic cosmological parameters to highlight the differences between standard physics and f(R) physics. In general, we find that the f(R) modifications result in stronger gravitational attraction that enhances the dark matter power spectrum by ˜20% for large but observationally allowed f(R) modifications. A more detailed study of the nonlinear f(R) effects on the power spectrum are presented in a companion paper.
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