Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2005-09-09
Class.Quant.Grav. 23 (2006) 845-866
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, v2:references and comments added, typos fixed, to appear in CQG
Scientific paper
10.1088/0264-9381/23/3/018
We use expansion-normalised variables to investigate the Bianchi type VII$_0$ model with a tilted $\gamma$-law perfect fluid. We emphasize the late-time asymptotic dynamical behaviour of the models and determine their asymptotic states. Unlike the other Bianchi models of solvable type, the type VII$_0$ state space is unbounded. Consequently we show that, for a general non-inflationary perfect fluid, one of the curvature variables diverges at late times, which implies that the type VII$_0$ model is not asymptotically self-similar to the future. Regarding the tilt velocity, we show that for fluids with $\gamma<4/3$ (which includes the important case of dust, $\gamma=1$) the tilt velocity tends to zero at late times, while for a radiation fluid, $\gamma=4/3$, the fluid is tilted and its vorticity is dynamically significant at late times. For fluids stiffer than radiation ($\gamma>4/3$), the future asymptotic state is an extremely tilted spacetime with vorticity.
Coley Alan A.
den Hoogen Robert J. van
Hervik Sigbjorn
Lim Woei Chet
No associations
LandOfFree
The Futures of Bianchi type VII0 cosmologies with vorticity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The Futures of Bianchi type VII0 cosmologies with vorticity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Futures of Bianchi type VII0 cosmologies with vorticity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-464192