Minimal theory of massive gravity in the light of CMB data and the $S_8$ tension
Abstract
We investigate the Minimal Theory of Massive Gravity (MTMG) in the light of different observational data sets which are in tension within the $\Lambda$CDM cosmology. In particular, we analyze MTMG model, for the first time, with the PlanckCMB data, and how these precise measurements affect the free parameters of the theory. The MTMG model can affect the CMB power spectrum at large angular scales and cause a suppression on the amplitude of the matter power spectrum. We find that on adding PlanckCMB data, the graviton has a small, positive, but nonzero mass at 68\% confidence level, and from this perspective, we show that the tension between redshift space distortions measurements and PlanckCMB data in the parametric space $S_8  \Omega_m$ can be resolved within the MTMG scenario. Through a robust and accurate analysis, we find that the $H_0$ tension between the CMB and the local distance ladder measurements still remains but can be reduced to $\sim3.5\sigma$ within the MTMG theory. The MTMG is very well consistent with the CMB observations, and undoubtedly, it can serve as a viable candidate amongst other modified gravity theories.
 Publication:

arXiv eprints
 Pub Date:
 June 2021
 arXiv:
 arXiv:2106.09595
 Bibcode:
 2021arXiv210609595D
 Keywords:

 Astrophysics  Cosmology and Nongalactic Astrophysics
 EPrint:
 14 pages, 7 figures, 2 tables. v2: discussion improved, typos corrected