Collapsing Scalar Field with Kinematic Self-Similarity of the Second Kind in 2+1 Gravity

Abstract

All the 2+1-dimensional circularly symmetric solutions with kinematic self-similarity of the second kind to the Einstein-massless-scalar field equations are found and their local and global properties are studied. It is found that some of them represent gravitational collapse of a massless scalar field, in which black holes are always formed.

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