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Bimetric theory describes a massless and a massive spin-2 field with fullynon-linear (self-)interactions. It has a rich phenomenology and has beensuccessfully tested with several data sets. However, the observationalconstraints have not been combined in a consistent framework, yet. We propose aparametrization of bimetric solutions in terms of the effective cosmologicalconstant $\Lambda$ and the mass $m_\mathrm{FP}$ of the spin-2 field as well asits coupling strength to ordinary matter $\bar\alpha$. This simplifies choosingpriors in statistical analysis and allows to directly constrain theseparameters with observational data not only from local systems but also fromcosmology. By identifying the physical vacuum of bimetric theory theseparameters are uniquely determined. We work out the dictionary for the newparametrization for various submodels and present the implied consistencyconstraints on the physical parameter space. We then apply the dictionary toderive observational constraints from SN1a on the physical parameters. As aresult we find that even self-accelerating models with a heavy spin-2 field arein perfect agreement with current supernova data.

Physical parameter space of bimetric theory and SN1a constraints