BTZ type black cosmic strings from global U(1) strings.

Mathematics – Logic

Scientific paper

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Cosmic Strings: Black Holes

Scientific paper

The authors consider massive spinless point particles and global U(1) vortices coupled to (2+1)D gravity in the presence of a negative cosmological constant. For the case of a point particle, they find a new stationary solution in addition to the well known two static solutions, i.e., regular hyperboloid with deficit angle and Schwarzschild type BTZ black hole. They find that the spacetimes formed by the regular static global U(1) vortices are free from curvature singularity. The authors obtain three types of solution according to the scale of the cosmological constant. One of them is a regular hyperboloid and the others are black hole solutions with single or two horizons. They identify the charge of the black hole to the topological charge of the global U(1) vortex via the duality transformation. The role of the obtained point-like solutions as straight, infinite long cosmic strings are also briefly discussed.

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