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Validity of generalised second law in holographic DGP brane

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Abstract

In this paper we study the validity of the generalised second law of thermodynamics (GSLT) of the universe bounded by the event horizon on the Dvali–Gabadadze–Porrati (DGP) brane world. The radius of the event horizon is calculated by establishing a correspondence between holographic dark energy and the effective energy density in the DGP brane world. It is shown that in the absence of cold dark matter (CDM), GSLT is always respected. In the presence of CDM, we take three different DGP models and find conditions under which GSLT holds.

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Authors and Affiliations

  1. Department of Basic Sciences and Social Sciences, North Eastern Hill University, NEHU Campus, Shillong, 793022, India

    Jibitesh Dutta

  2. Department of Mathematics, Jadavpur University, Kolkata, 700032, India

    Subenoy Chakraborty

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  1. Jibitesh Dutta
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  2. Subenoy Chakraborty
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Correspondence to Jibitesh Dutta.

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Dutta, J., Chakraborty, S. Validity of generalised second law in holographic DGP brane. Gen Relativ Gravit 42, 1863–1873 (2010). https://doi.org/10.1007/s10714-010-0957-9

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