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Polytropic inspired inflation on the brane. (English) Zbl 1390.83476

Summary: The brane inflationary model inspired by a polytropic inflationary idea is studied. In the slow-roll approximation and high energy limit, for a chaotic potential, the model is developed, and its characteristics are discussed. We obtain explicit expressions for the scalar power spectrum, the tensor-scalar ratio, the scalar spectral index and its running in terms of the polytropic parameters. We find a new constraint on the energy scale of the inflation and the brane tension using the WMAP9 data.

MSC:

83F05 Relativistic cosmology
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
85A40 Astrophysical cosmology

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