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On the Stability and Thermodynamics of the Dark Energy Based on Generalized Uncertainty Principle

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Abstract

The new agegraphic Dark Energy (NADE) model (based on generalized uncertainty principle) interacting with Dark Matter (DM) is considered in this study via power-law form of the scale factor a(t). The equation of state (EoS) parameter ω G is observed to have a phantom-like behaviour. The stability of this model is investigated through the squared speed of sound \(v_{s}^{2}\). It is found that \(v_{s}^{2}\) always stays at negative level. This indicates instability of the considered model. Moreover, validity of the generalized second law of thermodynamics has been investigated assuming that the apparent horizon is the enveloping horizon. It has been observed that the generalized second law is valid throughout the evolution of the universe.

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Acknowledgements

The authors are thankful to the reviewers for constructive suggestions. The second author (SC) acknowledges the research grant under Fast Track Programme for Young Scientists provided by the Department of Science and Technology (DST), Govt of India. The grant number is SR/FTP/PS-167/2011.

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Authors and Affiliations

  1. Department of Physics, University of Trieste, Via Valerio, 2 34127, Trieste, Italy

    Antonio Pasqua

  2. Pailan College of Management and Technology, Bengal Pailan Park, Kolkata, 700 104, India

    Surajit Chattopadhyay

  3. Heat-and-Power Engineering Department, National Technical University of Ukraine, Kyiv, Ukraine

    Iuliia Khomenko

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  1. Antonio Pasqua
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  2. Surajit Chattopadhyay
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  3. Iuliia Khomenko
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Correspondence to Surajit Chattopadhyay.

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Pasqua, A., Chattopadhyay, S. & Khomenko, I. On the Stability and Thermodynamics of the Dark Energy Based on Generalized Uncertainty Principle. Int J Theor Phys 52, 2496–2507 (2013). https://doi.org/10.1007/s10773-013-1537-z

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  • DOI: https://doi.org/10.1007/s10773-013-1537-z

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