A bstract We construct the first smooth bubbling geometries using the Weyl formalism. The solutions are obtained from Einstein theory coupled to a twoform gauge field in six dimensions with two compact directions. We classify the charged Weyl solutions in this framework. Smooth solutions consist of a chain of KaluzaKlein bubbles that can be neutral or wrapped by electromagnetic fluxes, and are free of curvature and conical singularities. We discuss how such topological structures are prevented from gravitational collapse without struts. When embedded in type IIB, the class of solutions describes D1D5KKm solutions in the nonBPS regime, and the smooth bubbling solutions have the same conserved charges as a static fourdimensional nonextremal CveticYoum black hole.
Bubble bag end: a bubbly resolution of curvature singularity
A bstract We construct a family of smooth charged bubbling solitons in $$ \mathbbm{M} $$ M 4 ×T 2 , fourdimensional Minkowski with a twotorus. The solitons are characterized by a degeneration pattern of the torus along a line in $$ \mathbbm{M} $$ M 4 defining a chain of topological cycles. They live in the same parameter regime as nonBPS nonextremal fourdimensional black holes, and are ultracompact with sizes ranging from miscroscopic to macroscopic scales. The sixdimensional framework can be embedded in type IIB supergravity where the solitons are identified with geometric transitions of nonBPS D1D5KKm bound states. Interestingly, the geometries admit a minimal surface that smoothly opens up to a bubbly end of space. Away from the solitons, the solutions are indistinguishable from a new class of singular geometries. By taking a limit of large number of bubbles, the soliton geometries can be matched arbitrarily close to the singular spacetimes. This provides the first classical resolution of a curvature singularity beyond the framework of supersymmetry and supergravity by blowing up topological cycles wrapped by fluxes at the vicinity of the singularity.
 Publication Date:
 NSFPAR ID:
 10311174
 Journal Name:
 Journal of High Energy Physics
 Volume:
 2021
 Issue:
 10
 ISSN:
 10298479
 Sponsoring Org:
 National Science Foundation
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