Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-04-21
Class. Quantum Grav. 27 185006 (2010)
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages
Scientific paper
10.1088/0264-9381/27/18/185006
In this paper we study the future asymptotics of spatially homogeneous Bianchi type II cosmologies with a tilted perfect fluid with a linear equation of state. By means of Hamiltonian methods we first find a monotone function for a special tilted case, which subsequently allows us to construct a new set of monotone functions for the general tilted type II cosmologies. In the context of a new partially gauge invariant dynamical system, this then leads to a proof for a theorem that for the first time gives a complete description of the future asymptotic states of the general tilted Bianchi type II models. The generality of our arguments suggests how one can produce monotone functions that are useful for determining the asymptotics of other tilted perfect fluid cosmologies, as well as for other sources.
Hervik Sigbjorn
Lim Woei Chet
Sandin Patrik
Uggla Claes
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