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Visco-elastic cosmology for a sparkling universe?

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Abstract

We show the analogy between a generalization of the Rayleigh–Plesset equation of bubble dynamics including surface tension, elasticity and viscosity effects with a reformulation of the Friedmann–Lemaître set of equations describing the expansion of space in cosmology assuming a homogeneous and isotropic universe. By comparing both fluid and cosmic equations, we propose a bold generalization of the newly-derived cosmic equation mapping three continuum mechanics contributions. Conversely, the addition of a cosmological constant-like term in the fluid equation would lead also to a new phenomenology.

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Acknowledgements

GR thanks Jennifer Chaline for providing him with the essential knowledge on the Rayleigh–Plesset equation based on her Ph.D. thesis work. He also acknowledges discussions with M. Baudoin and P. Marmottant.

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Authors and Affiliations

  1. Institut Pprime, UPR 3346, CNRS-Université de Poitiers-ISAE ENSMA, TSA 51124, 86073, Poitiers Cedex 9, France

    G. Rousseaux

  2. Department of Mathematics, Embry-Riddle Aeronautical University, Daytona Beach, FL, 32114-3900, USA

    S. C. Mancas

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  1. G. Rousseaux
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  2. S. C. Mancas
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Correspondence to G. Rousseaux or S. C. Mancas.

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Rousseaux, G., Mancas, S.C. Visco-elastic cosmology for a sparkling universe?. Gen Relativ Gravit 52, 55 (2020). https://doi.org/10.1007/s10714-020-02705-y

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