Chen, Xuelei and Hindmarsh, Mark and Kamionkowski, Marc and Liddle, Andrew R. (1997) Instability of the one-texture universe. Physical Review D, 56 (4). pp. 2051-2056. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:CHEprd97
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The one-texture universe, introduced by Davis in 1987, is a homogeneous mapping of a scalar field with an S^3 vacuum into a closed universe. It has long been known to mathematicians that such solutions, although static, are unstable. We show by explicit construction that there are four degenerate lowest modes which are unstable, corresponding to collapse of the texture towards a single point, in the case where gravitational back reaction is neglected. We discuss the instability time scale in both static and expanding space-times; in the latter case it is of order of the present age of the universe, suggesting that, though unstable, the one-texture universe could survive to the present. The cosmic microwave background constrains the initial magnitude of this unstable perturbation to be less than ∼10^-3.
|Additional Information:||©1997 The American Physical Society Received 31 January 1997 We thank John Barrow, Ruth Durrer, and Erick Weinberg for discussions. M.H. was supported by PPARC and A.R.L. by the Royal Society. This work was supported at Columbia by D.O.E. Contract No. DEFG02-92-ER 40699, NASA NAG5-3091, and the Alfred P. Sloan Foundation. A.R.L. thanks Columbia University for its hospitality during a visit, and M.H., M.K., and A.R.L. thank the University of Uppsala/NORDITA for support during a visit to Sweden.|
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|Deposited On:||23 May 2006|
|Last Modified:||26 Dec 2012 08:53|
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