Thermodynamical properties of the Universe with dark energy

Details Thermodynamical properties of the Universe with dark energy Thermodynamical properties of the Universe with dark energy

2006-10-30

arxiv.org/abs/gr-qc/0610151v2

JCAP 0701:024,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

two figures; v2: minor corrections and updates, JCAP in press

Scientific paper

10.1088/1475-7516/2007/01/024

We have investigated the thermodynamical properties of the Universe with dark energy. Adopting the usual assumption in deriving the constant co-moving entropy density that the physical volume and the temperature are independent, we observed some strange thermodynamical behaviors. However, these strange behaviors disappeared if we consider the realistic situation that the physical volume and the temperature of the Universe are related. Based on the well known correspondence between the Friedmann equation and the first law of thermodynamics of the apparent horizon, we argued that the apparent horizon is the physical horizon in dealing with thermodynamics problems. We have concentrated on the volume of the Universe within the apparent horizon and considered that the Universe is in thermal equilibrium with the Hawking temperature on the apparent horizon. For dark energy with $w\ge -1$, the holographic principle and the generalized second law are always respected.

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