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Abstract
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We generalize the scalar tensor bigravity models to the non-minimal kinetic cou-pling scalar tensor bigravity models with two scalar fields whose kinetic terms are non-minimally coupled to two Einstein tensors constructed by two metrics. We show that a
broad class of expanding universes can be explained by some solutions of this model. Then,
we study the stability issue of the solutions by means of imposing homogeneous perturbation
on the equations of motion and extract the stable solutions
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