Abstract

We introduce a solvable system of equations that describes non-extremal multicenter solutions to six-dimensional ungauged supergravity coupled to tensor multiplets. The system involves a set of functions on a three-dimensional base metric. We obtain a family of non-extremal axisymmetric solutions that generalize the known multicenter extremal solutions, using a particular base metric that introduces a bolt. We analyze the conditions for regularity, and in doing so we show that this family does not include solutions that contain an extremal black hole and a smooth bolt. We determine the constraints that are necessary to obtain smooth horizonless solutions involving a bolt and an arbitrary number of Gibbons-Hawking centers.

Highlights

  • Solvable systems of linear equations, to which solutions can be found relatively straightforwardly

  • We introduce a solvable system of equations that describes non-extremal multicenter solutions to six-dimensional ungauged supergravity coupled to tensor multiplets

  • We analyze the conditions for regularity, and in doing so we show that this family does not include solutions that contain an extremal black hole and a smooth bolt

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Summary

The supergravity ansatz

In section 2.1 we present the general structure of our system of differential equations describing solutions to six-dimensional supergravity. In section 2.2 we then give the general solution involving a single bolt and a set of arbitrarily many centers. We provide a short discussion of the extremal limits of the system in section 2.3.

The theory and the equations
The solution
Extremal limits
General properties of the solution
Asymptotics
Absence of black holes
JA nAI
H IA Σ2A
Conditions for smooth solutions
Local smooth geometry
Absence of closed time-like curves
A Relation to the Floating JMaRT system
B Vector fields
Full Text
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