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The Spectrum of Gravitational Waves in an f(R) Model with a Bounce

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Progress in Mathematical Relativity, Gravitation and Cosmology

Abstract

We present an inflationary model preceded by a bounce in a metric f(R) theory. In this model, modified gravity affects only the early stages of the universe. We analyse the predicted spectrum of the gravitational waves in this scenario using the method of the Bogoliubov coefficients. We show that there are distinctive (oscillatory) signals on the spectrum for very low frequencies; i.e., corresponding to modes that are currently entering the horizon.

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Acknowledgements

M.B.L. is supported by the Spanish Agency “Consejo Superior de Investigaciones Científicas” through JAEDOC064. This work was supported by the Portuguese Agency “Fundção para a Ciência e Tecnologia” through PTDC/FIS/111032/2009.

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Correspondence to Mariam Bouhmadi-López .

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Bouhmadi-López, M., Morais, J., Henriques, A.B. (2014). The Spectrum of Gravitational Waves in an f(R) Model with a Bounce. In: García-Parrado, A., Mena, F., Moura, F., Vaz, E. (eds) Progress in Mathematical Relativity, Gravitation and Cosmology. Springer Proceedings in Mathematics & Statistics, vol 60. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-40157-2_16

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