Self-Similar Collapse of Scalar Field with Plane Symmetry

Abstract

Plane symmetric self-similar solutions to Einstein's four-dimensional theory of gravity are studied and all such solutions are given analytically in closed form. The local and global properties of these solutions are investigated and it is shown that some of the solutions can be interpreted as representing gravitational collapse of the scalar field. During the collapse, trapped surfaces are never developed. As a result, no black hole is formed. Although the collapse always ends with spacetime singularities, it is found that these singularities are spacelike and not naked.

arXiv commentlatex, two figures

References in corpus (8)

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Cited by in corpus (5)

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• Asymptotics of Solutions of a Perfect Fluid Coupled with a Cosmological Constant in Four-Dimensional Spacetime with Toroidal Symmetry
• Perturbed Self-Similar Massless Scalar Field in Spherically Symmetric Spaceimes