The Holographic Model of Dark Energy and Thermodynamics of Non-Flat Accelerated Expanding Universe

Abstract

Motivated by recent results on non-vanishing spatial curvature \cite{curve} we employ the holographic model of dark energy to investigate the validity of first and second laws of thermodynamics in non-flat (closed) universe enclosed by apparent horizon $R_A$ and the event horizon measured from the sphere of horizon named $L$. We show that for the apparent horizon the first law is roughly respected for different epochs while the second laws of thermodynamics is respected while for $L$ as the system's IR cut-off first law is broken down and second law is respected for special range of deceleration parameter. It is also shown that at late-time universe $L$ is equal to $R_A$ and the thermodynamic laws are hold, when the universe has non-vanishing curvature. Defining the fluid temperature to be proportional to horizon temperature the range for coefficient of proportionality is obtained provided that the generalized second law of thermodynamics is hold.

12 pages, no figure, abstract and text extended, references added, accepted for publication in JCAP

Cited by in corpus (13)

• The holographic dark energy in non-flat Brans-Dicke cosmology
• Interacting holographic dark energy model in non-flat universe
• Interacting Holographic Phantom
• Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
• Bulk-Brane Interaction and Holographic Dark Energy
• Interacting holographic dark energy in Brans-Dicke theory
• Interacting agegraphic dark energy models in non-flat universe
• Age Problem in the Holographic Dark Energy Model
• The generalized second law of thermodynamics in generalized gravity theories
• Thermodynamical properties of dark energy
• Thermodynamics of k-essence
• Thermodynamical properties of dark energy with the equation of state
• Cosmological energy in a thermo-horizon and the first law