Cosmological Evolution in Bimetric Gravity: Observational Constraints and LSS Signatures

Abstract

Bimetric gravity is an interesting alternative to standard GR given its potential to provide a concrete theoretical framework for a ghost-free massive gravity theory. Here we investigate a class of Bimetric gravity models for their cosmological implications. We study the background expansion as well as the growth of matter perturbations at linear and second order. We use low-redshift observations from SnIa (Pantheon+ and SH0ES), Baryon Acoustic Oscillations (BAO), the growth ($f{\sigma }_8$) measurements and the measurement from Megamaser Cosmology Project to constrain the Bimetric model. We find that the Bimetric models are consistent with the present data alongside the $\Lambda$CDM model. We reconstructed the `` effective dark energy equation of state" (${\omega }_{de}$) and "Skewness" ($S_3$) parameters for the Bimetric model from the observational constraints and show that the current low-redshift data allow significant deviations in ${\omega }_{de}$ and $S_3$ parameters with respect to the $\Lambda$CDM behaviour. We also look at the ISW effect via galaxy-temperature correlations and find that the best fit Bimetric model behaves similarly to $\Lambda$CDM in this regard.

arXiv comment12 pages, Latex style with 12 figures, revised version with new references added

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