D.B. Thomas
f(R) gravity on non-linear scales: The post-Friedmann expansion and the vector potential
Thomas, D.B.; Bruni, M.; Koyama, K.; Li, B.; Zhao, G.
Abstract
Many modified gravity theories are under consideration in cosmology as the source of the accelerated expansion of the universe and linear perturbation theory, valid on the largest scales, has been examined in many of these models. However, smaller non-linear scales offer a richer phenomenology with which to constrain modified gravity theories. Here, we consider the Hu-Sawicki form of f(R) gravity and apply the post-Friedmann approach to derive the leading order equations for non-linear scales, i.e. the equations valid in the Newtonian-like regime. We reproduce the standard equations for the scalar field, gravitational slip and the modified Poisson equation in a coherent framework. In addition, we derive the equation for the leading order correction to the Newtonian regime, the vector potential. We measure this vector potential from f(R) N-body simulations at redshift zero and one, for two values of the fR0 parameter. We find that the vector potential at redshift zero in f(R) gravity can be close to 50% larger than in GR on small scales for |fR0|=1.289 × 10−5, although this is less for larger scales, earlier times and smaller values of the fR0 parameter. Similarly to in GR, the small amplitude of this vector potential suggests that the Newtonian approximation is highly accurate for f(R) gravity, and also that the non-linear cosmological behaviour of f(R) gravity can be completely described by just the scalar potentials and the f(R) field.
Citation
Thomas, D., Bruni, M., Koyama, K., Li, B., & Zhao, G. (2015). f(R) gravity on non-linear scales: The post-Friedmann expansion and the vector potential. Journal of Cosmology and Astroparticle Physics, 2015(07), https://doi.org/10.1088/1475-7516/2015/07/051
Journal Article Type | Article |
---|---|
Acceptance Date | Jul 8, 2015 |
Publication Date | Jul 30, 2015 |
Deposit Date | Aug 17, 2015 |
Publicly Available Date | Jul 30, 2016 |
Journal | Journal of Cosmology and Astroparticle Physics |
Electronic ISSN | 1475-7516 |
Publisher | IOP Publishing |
Peer Reviewed | Peer Reviewed |
Volume | 2015 |
Issue | 07 |
DOI | https://doi.org/10.1088/1475-7516/2015/07/051 |
Public URL | https://durham-repository.worktribe.com/output/1403989 |
Related Public URLs | http://arxiv.org/abs/1503.07204 |
Files
arXiv version
(430 Kb)
PDF
Copyright Statement
arXiv version
You might also like
Minkowski functionals of large-scale structure as a probe of modified gravity
(2024)
Journal Article
Where shadows lie: reconstruction of anisotropies in the neutrino sky
(2023)
Journal Article
MGLENS: Modified gravity weak lensing simulations for emulation-based cosmological inference
(2023)
Journal Article
Downloadable Citations
About Durham Research Online (DRO)
Administrator e-mail: dro.admin@durham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search