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New explicit spike solutions—non-local component of the generalized Mixmaster attractor

Woei Chet Lim

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By applying a standard solution-generating transformation to an arbitrary vacuum Bianchi type II solution, one generates a new solution with spikes commonly observed in numerical simulations. It is conjectured that the spike solutions are part of the generalized Mixmaster attractor.


PACS

04.20.Jb Exact solutions

95.30.Sf Relativity and gravitation

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

04.20.Dw Singularities and cosmic censorship

MSC

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83F05 Cosmology

85A40 Cosmology (For relativistic cosmology, see 83F05)

83C75 Space-time singularities, cosmic censorship, etc.

83C15 Exact solutions

Subjects

Gravitation and cosmology

Astrophysics and astroparticles

Dates

Issue 4 (21 February 2008)

Received 7 October 2007, in final form 1 December 2007

Published 5 February 2008



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