Gravitating Chern-Simons vortices

Abstract

The construction of self-dual vortex solutions to the Chern-Simons-Higgs model (with a suitable eighth-order potential) coupled to Einstein gravity in (2 + 1) dimensions is reconsidered. We show that the self-duality condition may be derived from the sole assumption $g_{00}=1$. Next, we derive a family of exact, doubly self-dual vortex solutions, which interpolate between the symmetrical and asymmetrical vacua. The corresponding spacetimes have two regions at spatial infinity. The eighth-order Higgs potential is positive definite, and closed timelike curves are absent, if the gravitational constant is chosen to be negative.

11 pages, LaTex

References in corpus (6)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Spinning charged BTZ black holes and self-dual particle-like solutions
• The electrically charged BTZ black hole with self(anti-self) dual Maxwell field
• Closed time like curve and the energy condition in 2+1 dimensional gravity
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