Sequences of dipole black rings and Kaluza-Klein bubbles

TL;DR

This paper constructs new exact 5D Einstein-Maxwell solutions describing sequences of Kaluza-Klein bubbles and dipole black rings, revealing the role of magnetic flux in their thermodynamic relations.

Contribution

It introduces a method to generate solutions with sequences of bubbles and rings, including magnetic flux effects, extending previous vacuum solutions.

Findings

Derived new exact solutions for 5D Einstein-Maxwell equations.

Established Smarr-like relations including magnetic flux contributions.

Formulated mass and tension first laws for these configurations.

Abstract

We construct new exact solutions to 5D Einstein-Maxwell equations describing sequences of Kaluza-Klein bubbles and dipole black rings. The solutions are generated by 2-soliton transformations from vacuum black ring - bubble sequences. The properties of the solutions are investigated. We also derive the Smarr-like relations and the mass and tension first laws in the general case for such configurations of Kaluza-Klein bubbles and dipole black rings. The novel moment is the appearance of the magnetic flux in the Smarr-like relations and the first laws.