The future asymptotics of Bianchi VIII vacuum solutions

Details The future asymptotics of Bianchi VIII vacuum solutions The future asymptotics of Bianchi VIII vacuum solutions

2001-03-29

arxiv.org/abs/gr-qc/0103107v1

Class.Quant.Grav. 18 (2001) 3791-3824

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, no figures

Scientific paper

10.1088/0264-9381/18/18/302

Bianchi VIII vacuum solutions to Einstein's equations are causally geodesically complete to the future, given an appropriate time orientation, and the objective of this article is to analyze the asymptotic behaviour of solutions in this time direction. For the Bianchi class A spacetimes, there is a formulation of the field equations that was presented in an article by Wainwright and Hsu, and we analyze the asymptotic behaviour of solutions in these variables. We also try to give the analytic results a geometric interpretation by analyzing how a normalized version of the Riemannian metric on the spatial hypersurfaces of homogeneity evolves.

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