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Study of Thermodynamic Quantities in Generalized Gravity Theories

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Abstract

In this work, we have studied the thermodynamic quantities like temperature of the universe, heat capacity and squared speed of sound in generalized gravity theories like Brans-Dicke, Hořava-Lifshitz and f(R) gravities. We have considered the universe filled with dark matter and dark energy. Also we have considered the equation of state parameters for open, closed and flat models. We have observed that in all cases the equation of state behaves like quintessence. The temperature and heat capacity of the universe are found to decrease with the expansion of the universe in all cases. In Brans-Dicke and f(R) gravity theories the squared speed of sound is found to exhibit increasing behavior for open, closed and flat models and in Hořava-Lifshitz gravity theory it is found to exhibit decreasing behavior for open and closed models with the evolution of the universe. However, for flat universe, the squared speed of sound remains constant in Hořava-Lifshitz gravity.

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Acknowledgements

The authors are thankful to the anonymous reviewers for their constructive suggestions. The first two authors are thankful to the Inter-University Centre for Astronomy and Astrophysics (IUCAA), Pune, India for providing Visiting Associateship, under which this work was carried out. The third author wishes to sincerely acknowledge the warm hospitality provided by IUCAA, Pune, where part of the work was carried out during a scientific visit.

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Authors and Affiliations

  1. Department of Computer Application (Mathematics Section), Pailan College of Management and Technology, Bengal Pailan Park, Kolkata, 700 104, India

    Surajit Chattopadhyay

  2. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, 711 103, India

    Ujjal Debnath & Samarpita Bhattacharya

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  1. Surajit Chattopadhyay
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  2. Ujjal Debnath
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Correspondence to Surajit Chattopadhyay.

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Chattopadhyay, S., Debnath, U. & Bhattacharya, S. Study of Thermodynamic Quantities in Generalized Gravity Theories. Int J Theor Phys 51, 3168–3185 (2012). https://doi.org/10.1007/s10773-012-1198-3

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