Abstract
The thermodynamics of a scheme of dark matter-dark energy interaction is studied considering a holographic model for the dark energy in a flat Friedmann-Lemaitre-Robertson-Walker background. We obtain a total entropy rate for a general horizon and we study the Generalized Second Law of Thermodynamics for a cosmological interaction as a free function. Additionally, we discuss two horizons related to the Ricci and Ricci-like model and its effect on an interacting system.
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Notes
Let us note that the interaction is null for a particular Ansatz of the coincidence parameter \(r=\frac{ (c^{2}-2) }{ a^{(2/c^{2}-1) } (c^{2}(1+r_{0})-2)/r_{0}- c^{2}}\).
Let us note that the interaction is null for a particular Ansatz of \(r=\frac{ r_{0}(2 \alpha-3\beta-2) }{ a^{(2-2 \alpha+3\beta)/\beta}( (2 \alpha-3\beta)(1+r_{0})-2)-r_{0}(2 \alpha -3\beta)}\).
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Acknowledgements
This work is dedicated to the memory of our colleague Sergio del Campo, for his contributions to Cosmology in Chile. This work has been supported by Comisión Nacional de Ciencias y Tecnología through Fondecyt Grants 3130736 (FA). (FP) acknowledges DI14-0007 of Dirección de Investigación y Desarrollo for basal institutional support, Universidad de La Frontera, institution that also contributes reviewing the English in our work. (PC) acknowledges support from the Department of Physics of Universidad de La Frontera. (FA) would like to thank A. Cid and P. Mella for helpful references.
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Arevalo, F., Cifuentes, P. & Peña, F. Thermodynamics of interacting holographic dark energy. Astrophys Space Sci 361, 45 (2016). https://doi.org/10.1007/s10509-015-2634-7
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DOI: https://doi.org/10.1007/s10509-015-2634-7