Non-linear dynamics of the minimal theory of massive gravity

Abstract

We investigate cosmological signatures of the minimal theory of massive gravity (MTMG). To this aim, we simulate the normal branch of the MTMG by employing the \textsc{Ramses} \mbox{$N$-body} code and extending it with an effective gravitational constant $G_{\mathrm{eff}}$. We implement an environment-dependent $G_{\mathrm{eff}}$ as a function of the graviton mass and the local energy density as predicted by MTMG. We find that halo density profiles are not a good probe for MTMG, because deviations from general relativity (GR) are quite small. Similarly, the matter power spectra show deviations only at the percentage level. However, we find a clear difference between MTMG and GR in that voids are denser in MTMG than in GR. As measuring void profiles is quite a complex task from an observational point of view, a better probe of MTMG would be the halo abundances. In this case, MTMG creates a larger amount of massive halos, while there is a suppression in the abundance of small halos.

arXiv comment8 pages, 7 figures. Updated to reflect peer-reviewed version for publication

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• Extended minimal theories of massive gravity
• Static and spherically symmetric general relativity solutions in Minimal Theory of Bigravity
• Gravitational collapse and odd-parity black hole perturbations in Minimal Theory of Bigravity
• Gravitational ringdown in the Minimal Theory of Massive Gravity