Hyper-Charged Vortices and Strings with Signature Change Horizon

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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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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