24 research outputs found

    Negative potentials and collapsing universes

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    We study Friedmann–Robertson–Walker models with a perfect fluid matter source and a scalar field nonminimally coupled to matter. We prove that a general class of bounded from above potentials which fall to minus infinity as the field goes to minus infinity, forces the Hubble function to diverge to −∞ in a finite time. This finite-time singularity theorem is true for the arbitrary coupling coefficient, provided that it is a bounded function of the scalar field

    CAN SECOND ORDER GRAVITY THEORY EXPLAIN ACCELERATION?

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    Comment on "Existence of Einstein static universes and their stability in fourth-order theories of gravity"

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    It is argued that the solution space of the equation determining the class of f(R) theories which admit an Einstein static universe should be broadened by including the algebraic roots

    Introduction to Cosmological Dynamical Systems

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