Formation of Three-Dimensional Black Strings from Gravitational Collapse of Dust Cloud

Abstract

We study the formation of black strings from a gravitational collapse of cylindrical dust clouds in the three-dimensional low-energy string theory. New junction conditions for the dilaton as well as two junction conditions for metrics and extrinsic curvatures between both regions of the clouds are presented. As a result, it is found that the collapsing dust cloud always collapses to a black string within a finite collapse time, and then a curvature singularity formed at origin is cloaked by an event horizon. Moreover, it is also shown that the collapse process can form a naked singularity within finite time, regardless of the choice of initial data.

LaTeX, 13 pages, 6 figures, matches published version

References in corpus (4)

• Gravitationally Collapsing Shells in (2+1) Dimensions
• Gravitational Collapse of Inhomogeneous Dust in (2+1) Dimensions
• Cosmology of Antisymmetric Tensor Field in D-brane Universe
• String Cosmology of the D-brane Universe

Cited by in corpus (4)

• Dynamics of false vacuum bubbles with nonminimal coupling
• Cylindrically symmetric models of gravitational collapse to black holes: a short review
• Analytic approach to the formation of a three-dimensional black string from a dust cloud
• Quantum radiation of a collapsing shell in three-dimensional AdS spacetime revisited