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The nature of singularities in plane symmetric scalar field cosmologies

The nature of the initial singularity in spatially compact plane symmetric scalar field cosmologies is investigated. It is shown that this singularity is crushing and velocity dominated and that the Kretschmann scalar diverges uniformly as it is approached. The last fact means in particular that a maximal globally hyperbolic spacetime in this class cannot be extended towards the past through a Cauchy horizon. A subclass of these spacetimes is identified for which the singularity is isotropic.

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1. Max-Planck-Institut für Astrophysik, Karl-Schwarzschildstr. 1, Postfach 1523, D-85740, Garching-bei-München, Germany

   Alan D. Rendall

Rendall, A.D. The nature of singularities in plane symmetric scalar field cosmologies. Gen Relat Gravit 27, 213–221 (1995). https://doi.org/10.1007/BF02107959

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• Received: 05 August 1994

• Issue Date: February 1995

• DOI: https://doi.org/10.1007/BF02107959

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