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Abstract
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We study the future cosmological singularities in the framework of massive gravity and minimal
massive bigravity theory. In this regards, we consider the possible classes of finite-time future
singularities such as sudden, big rip, big freeze and big brake singularities in the massive universe.
In dRGT model with an open expanding universe we obtain the sudden singularity in the future at a
finite-time which generally without taking account of any particular realistic equation of state, is not
avoidable and except the fluid density, all dynamical physical quantities such as pressure approach
to infinity. To complete our study, we search the future cosmological singularities in the context of
minimal massive bigravity theory and we find that the cosmology of this theory suffers from the
sudden and big brake singularities, in which we can see that the parameters of the model approaches
to zero the sudden singularity can be removed.
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