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Bianchi type V perfect fluid cosmologies
Authors:Kurt Fišer  Kjell Rosquist  Claes Uggla
Affiliation:(1) Department of Theoretical Physics, Charles University Prague, V Hole"scaron"ovi"ccaron"kàch 2, CS-180 00 Praha 8, Czechoslovakia;(2) Department of Physics, University of Stockholm, Vanadisvägen 9, S-113 46 Stockholm, Sweden;(3) Department of Physics, Syracuse University, 13244-1130 Syracuse, New York, USA
Abstract:Bianchi type V solutions of the Einstein equations are studied using the Hamiltonian approach. Explicit expressions depending on a single quadrature are given for the metric components in the general orthogonal perfect fluid case. It is shown that the quadrature can be evaluated in terms of elementary or elliptic integrals when the parameter gamma in the equation of statep=(gamma–1)rgr takes the values 1, 10/9, 4/3, 14/9, 5/3, 2.
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