John D Barrow and Sigbjørn Hervik 2003 Class. Quantum Grav. 20 2841 doi:10.1088/0264-9381/20/13/329
John D Barrow and Sigbjørn Hervik
Show affiliationsAn asymptotic stability analysis of spatially homogeneous models of Bianchi type containing tilted perfect fluids is performed. Using the known attractors for the non-tilted Bianchi-type universes, we check whether they are stable against perturbations with respect to tilted perfect fluids. We perform the analysis for all Bianchi class B models and the Bianchi type VI0 model. In particular, we find that none of the non-tilted equilibrium points are stable against tilted perfect fluids stiffer than radiation. We also indicate parts of the phase space where new tilted exact solutions might be found.
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
Issue 13 (7 July 2003)
Received 14 April 2003
Published 10 June 2003
John D Barrow and Sigbjørn Hervik 2003 Class. Quantum Grav. 20 2841
G de Berredo-Peixoto 2003 Class. Quantum Grav. 20 4305
Massimo Giovannini 2003 Class. Quantum Grav. 20 5455
Karol Zyczkowski and Hans-Jürgen Sommers 2003 J. Phys. A: Math. Gen. 36 10115
D S Tang et al 2002 Nanotechnology 13 L1
X F Teng and Y T Zhang 2006 Physiol. Meas. 27 675
A Borsic et al 2009 Physiol. Meas. 30 S1
Y Tokura 2006 Rep. Prog. Phys. 69 797
-equation and reconstruction of convection coefficients
Alexandru Tamasan 2004 Inverse Problems 20 1807
Yu-Min Chien and Lin-Tang Chen 1982 J. Phys. D: Appl. Phys. 15 775