Stability of topological solitons, and black string to bubble transition

We study the existence of smooth topological solitons and black strings as locally-stable saddles Euclidean gravitational action five dimensional Einstein-Maxwell theory. These objects live in Kaluza-Klein background four Minkowski with an $S^1$. compute off-shell canonical ensemble fixed boundary data corresponding to asymptotic radius $S^1$, electric magnetic charges that label strings. show these are large sectors phase space varying lifetime. Furthermore, we determine globally-stable phases for different regimes data, there can be Hawking-Page transitions between This analysis demonstrates a family solitonic gravity beyond supersymmetry, presents mechanism through which they arise from