THERMODYNAMIC PROPERTIES OF $γ$--FLUIDS AND THE QUANTUM VACCUM

Details THERMODYNAMIC PROPERTIES OF $γ$--FLUIDS AND THE QUANTUM VACCUM THERMODYNAMIC PROPERTIES OF $γ$--FLUIDS AND THE QUANTUM VACCUM

1995-05-31

arxiv.org/abs/gr-qc/9505052v1

Phys.Rev. D52 (1995) 5628-5635

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, uses LATEX

Scientific paper

10.1103/PhysRevD.52.5628

The thermodynamic behaviour of a relativistic perfect simple fluid obeying the equation of state $p=(\gamma-1)\rho $, where $0 \le \gamma \le 2$ is a constant, has been investigated. Particular cases include: vacuum($p=-\rho $, $\gamma=0$), a randomly oriented distribution of cosmic strings ($p=-{1 \over 3} \rho $, $\gamma =2/3$), blackbody radiation ($p={1\over 3} \rho$, $\gamma =4/3$) and stiff matter ($p=\rho$, $\gamma=2$). Fluids with $\gamma <1$ become hotter when they expand adiabatically ($T\propto V^{1- \gamma}$). By assuming that such fluids may be regarded as a kind of generalized radiation, the general Planck's type form of the spectrum is deduced. As a limiting case, a new Lorentz invariant spectrum of the vacuum which is compatible with the equation of state and other thermodynamic constraints is proposed. Some possible consequences to the early universe physics are also discussed.

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