Jas. Lima et A. Maia, THERMODYNAMIC PROPERTIES OF GAMMA-FLUIDS AND THE QUANTUM VACUUM, Physical review. D. Particles and fields, 52(10), 1995, pp. 5628-5635
The thermodynamic behavior of a relativistic perfect simple fluid obey
ing the equation of state p = (gamma - 1)rho, where 0 less than or equ
al to gamma less than or equal to 2 is a constant, is investigated. Pa
rticular cases include a vacuum (p = -rho, gamma = 0), a randomly orie
nted distribution of cosmic strings (p = -1/3 rho, gamma = 2/3), black
body radiation (p = -1/3 rho, gamma = 4/3), and stiff matter (p = rho,
gamma = 2). Fluids with gamma < 1 become hotter when they expand adia
batically (T proportional to V1-gamma). By assuming that such fluids m
ay be regarded as a kind of generalized radiation, the general Planck-
type form of the spectrum is deduced. As a Limiting case, a new Lorent
z-invariant spectrum of the vacuum which is compatible with the equati
on of state and other thermodynamic constraints is proposed. Some poss
ible consequences to early universe physics are also discussed.