B Bastiaensen et al 2007 Class. Quantum Grav. 24 3211 doi:10.1088/0264-9381/24/13/005
B Bastiaensen, H R Karimian, N Van den Bergh and L Wylleman
Show affiliationsWe study 'purely radiative' (i.e.
) 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.
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
53A45 Vector and tensor analysis
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries
Issue 13 (7 July 2007)
Received 12 March 2007, in final form 5 May 2007
Published 12 June 2007
B Bastiaensen et al 2007 Class. Quantum Grav. 24 3211
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