Self-Similar Collapse of Scalar Field with Plane Symmetry

Details Self-Similar Collapse of Scalar Field with Plane Symmetry Self-Similar Collapse of Scalar Field with Plane Symmetry

2004-06-08

arxiv.org/abs/gr-qc/0406025v1

Gen.Rel.Grav.36:1225-1236,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex, two figures

Scientific paper

10.1023/B:GERG.0000018289.60173.

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.

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