We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

Testing the quasi-static approximation in f(R) gravity simulations.

Bose, S. and Hellwing, W. A. and Li, B. (2015) 'Testing the quasi-static approximation in f(R) gravity simulations.', Journal of cosmology and astroparticle physics., 2015 (02). 034.


Numerical simulations in modified gravity have commonly been performed under the quasi-static approximation—that is, by neglecting the effect of time derivatives in the equation of motion of the scalar field that governs the fifth force in a given modified gravity theory. To test the validity of this approximation, we analyse the case of f(R) gravity beyond this quasi-static limit, by considering effects, if any, these terms have in the matter and velocity divergence cosmic fields. To this end, we use the adaptive mesh refinement code ECOSMOG to study three variants (|fR|= 10−4[F4], 10−5[F5] and 10−6[F6]) of the Hu-Sawicki f(R) gravity model, each of which refers to a different magnitude for the scalar field that generates the fifth force. We find that for F4 and F5, which show stronger deviations from standard gravity, a low-resolution simulation is enough to conclude that time derivatives make a negligible contribution to the matter distribution. The F6 model shows a larger deviation from the quasi-static approximation, but one that diminishes when re-simulated at higher-resolution. We therefore come to the conclusion that the quasi-static approximation is valid for the most practical applications in f(R) cosmologies.

Item Type:Article
Full text:(NA) Not Applicable
Download PDF (arXiv version)
Publisher Web site:
Publisher statement:This is an author-created, un-copyedited version of an article published in Journal of Cosmology and Astroparticle Physics. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at
Date accepted:07 January 2015
Date deposited:No date available
Date of first online publication:February 2015
Date first made open access:No date available

Save or Share this output

Look up in GoogleScholar