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The European Physical Journal C

, Volume 69, Issue 1–2, pp 265–269 | Cite as

Thermodynamics of apparent horizon and modified Friedmann equations

  • Ahmad SheykhiEmail author
Regular Article - Theoretical Physics

Abstract

Starting from the first law of thermodynamics, dE=T h dS h +WdV, at the apparent horizon of a FRW universe, and assuming that the associated entropy with apparent horizon has a quantum-corrected relation, \(S=\frac{A}{4G}-\alpha \ln \frac{A}{4G}+\beta \frac{4G}{A}\), we derive modified Friedmann equations describing the dynamics of the universe with any spatial curvature. We also examine the time evolution of the total entropy including the quantum-corrected entropy associated with the apparent horizon together with the matter field entropy inside the apparent horizon. Our study shows that, with the local equilibrium assumption, the generalized second law of thermodynamics is fulfilled in a region enclosed by the apparent horizon.

Keywords

Entropy Quantum Gravity High Energy Phys Apparent Horizon Black Hole Entropy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag / Società Italiana di Fisica 2010

Authors and Affiliations

  1. 1.Department of PhysicsShahid Bahonar UniversityKermanIran
  2. 2.Research Institute for Astronomy and Astrophysics of Maragha (RIAAM)MaraghaIran

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