Cosmological Stability of Massive Bigravity

  • Adam Ross SolomonEmail author
Part of the Springer Theses book series (Springer Theses)


In the previous chapter, and in particular in Sect.  2.1, we discussed an approach to modifying gravity in which its force-carrier particle, the graviton, is given a small mass. In particular, by specialising to the dRGT interaction potentials ( 2.22) we ensure that the notorious Boulware-Deser ghost mode is absent, and by allowing both metrics to be dynamical and taking the graviton mass to be of the order of the present-day Hubble rate, we can obtain cosmological solutions which agree well with observations of the cosmic expansion history. These solutions are self-accelerating: the Hubble parameter goes to a constant at late times even in the absence of a cosmological constant. The action of this bimetric theory, or bigravity, is given by Eq. ( 2.30), and the associated modified gravitational field equations were presented as Eqs. ( 2.39) and ( 2.40).


Cosmological Constant Auxiliary Variable Bimetric Theory Perturbation Variable Hubble Rate 
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© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Center for Particle CosmologyUniversity of PennsylvaniaPhiladelphiaUSA

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