Horizon-free universe

Mathematics – Logic

Scientific paper

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Scientific paper

We have studied a theory of gravity, consistent with all astronomical observations, which is an extension of general relativity generated by a gravitational field Lagrangian proportional to R+AR2 (where R is the scalar curvature and A is a new dimensional constant). We find cosmological solutions without a particle horizon for any value of A, compatible with cosmological observations if A is negative and small enough. It is pointed out that while alleviating the problem of the large-scale physical uniformity of the universe, the theory may also alleviate the problem of the development of smaller-scale structures from an initially isotropic state, and possibly the problem of "hidden mass."

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