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Purely radiative perfect fluids

B Bastiaensen, H R Karimian, N Van den Bergh and L Wylleman

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We study 'purely radiative' (i.e. \textrm{div}\, E =\textrm{div}\,H=0 ) and geodesic perfect fluids with non-constant pressure and show that the Bianchi class A perfect fluids can be uniquely characterized—modulo the class of purely electric and (pseudo-)spherically symmetric universes—as those models for which the magnetic and electric parts of the Weyl tensor and the shear are simultaneously diagonalizable. For the case of constant pressure, the same conclusion holds provided one also assumes that the fluid is irrotational.


PACS

04.20.Jb Exact solutions

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

02.40.Hw Classical differential geometry

MSC

83C15 Exact solutions

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83F05 Cosmology

53A45 Vector and tensor analysis

83C20 Classes of solutions; algebraically special solutions, metrics with symmetries

53D25 Geodesic flows

Subjects

Mathematical physics

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 13 (7 July 2007)

Received 12 March 2007, in final form 5 May 2007

Published 12 June 2007



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