Successful inflation in scalar-tensor theories of gravity.

Mathematics – Logic

Scientific paper

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Scientific paper

Among the trajectories that solve the differential equations of general scalar-tensor theories of gravity special ones are selected that successfully inflate the universe. They are well-approximated by separatrices. Furthermore a set of necessary conditions is derived which allows for successful inflation. They do not only include sufficient horizon growth but also both phase space and further cosmological constraints. These conditions are imposed on a simple Φn potential and on several dilaton theories to arrive at bounds for the involved parameters.

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