Explicit soliton-black hole correspondence for static configurations

Abstract

We construct an explicit map that transforms static, generalized sine-Gordon metrics to black hole type metrics. This, in particular, provides for a further description of the Cadoni correspondence (which extends the Gegenberg-Kunstatter correspondence) of soliton solutions and extremal black hole solutions in 2D dilaton gravity.

Submitted to Phys Rev D, 7 pages, no figures