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Avoiding closed timelike curves with a collapsing rotating null dust shell

Filipe C Mena1,2, José Natário2 and Paul Tod3

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We present an idealized model of gravitational collapse, describing a collapsing rotating cylindrical shell of null dust in flat space, with the metric of a spinning cosmic string as the exterior. We find that the shell bounces before closed timelike curves can be formed. Our results also suggest slightly different definitions for the mass and angular momentum of the string.


PACS

04.20.Jb Exact solutions

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

95.30.Sf Relativity and gravitation

11.27.+d Extended classical solutions; cosmic strings, domain walls, texture

MSC

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

83E30 String and superstring theories (See also 81T30)

83C15 Exact solutions

83F05 Cosmology

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 4 (21 February 2008)

Received 2 November 2007, in final form 10 January 2008

Published 5 February 2008



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