Nonstandard big bang models

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Scientific paper

The usual FRW hot big-bang cosmologies have been generalized by considering the equation of state ϱ=Anm+(γ-1)-1p, where m is the rest mass of the fluid particles and A is a dimensionless constant. Explicit analytic solutions are given for the flat case (ɛ=0). For large cosmological times these extended models behave as the standard Einstein-de Sitter universes regardless of the values of A and γ. Unlike the usual FRW flat case the deceleration parameter q is a time-dependent function and its present value, q⋍1, obtained from the luminosity distance versus redshift relation, may be fitted by taking, for instance, A=1 and γ=5/3 (monatomic relativistic gas with m>>kBT). In all cases the universe cools obeying the same temperature law of the FRW models and it is shown that the age of the universe is only slightly modified.
On leave of absence from Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, Natal, RN, Brazil.

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