Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-03-21
Mod.Phys.Lett.A10:2501-2508,1995
Physics
High Energy Physics
High Energy Physics - Theory
9 pages latex; Minor typos corrected
Scientific paper
10.1142/S0217732395002647
We show that self-dual Nielsen Olesen (NO) vortices in $3$ dimensions give rise to a class of exact solutions when coupled to Einstein Maxwell Dilaton gravity obeying the Majumdar-Papapetrou(MP) relation between gravitational and Maxwell couplings , provided certain Chern-Simons type interactions are present. The metric may be solved for explicitly in terms of the NO vortex function and becomes degenerate at scales $r_H \sim l_S exp(\frac{l_S}{l_P})$ where $l_S$ is the vortex core size and $l_P$ the Planck length. For typical $l_S\geq 10^4 l_P$ the horizon is thus pushed out to exponentially large scales. In the intermediate asymptotic region (IAR) $l_S<
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