New measures to test modified gravity cosmologies
Abstract
The observed accelerated expansion of the Universe may be explained by dark energy or the breakdown of general relativity (GR) on cosmological scales. When the latter case, a modified gravity scenario, is considered, it is often assumed that the background evolution is the same as the ΛCDM model but the density perturbation evolves differently. In this paper, we investigate more general classes of modified gravity, where both the background and perturbation evolutions are deviated from those in the ΛCDM model. We introduce two phase diagrams, αfσ _{8} and Hfσ _{8} diagrams; H is the expansion rate, fσ_{8} is a combination of the growth rate of the Universe and the normalization of the density fluctuation which is directly constrained by redshiftspace distortions, and α is a parameter which characterizes the deviation of gravity from GR and can be probed by gravitational lensing. We consider several specific examples of Horndeski's theory, which is a general scalartensor theory, and demonstrate how deviations from the ΛCDM model appears in the αfσ _{8} and Hfσ _{8} diagrams. The predicted deviations will be useful for future largescale structure observations to exclude some of the modified gravity models.
 Publication:

Journal of Cosmology and Astroparticle Physics
 Pub Date:
 July 2020
 DOI:
 10.1088/14757516/2020/07/059
 arXiv:
 arXiv:2005.09227
 Bibcode:
 2020JCAP...07..059M
 Keywords:

 Astrophysics  Cosmology and Nongalactic Astrophysics;
 General Relativity and Quantum Cosmology
 EPrint:
 18 pages, 8 figures, accepted to JCAP