New analytic and numerical initial data are constructed for Kaluza-Klein spacetimes with a space-dependent compactification radius, covering black strings, naked or hidden KK bubbles, and multiple black strings.
Sequences of dipole black rings and Kaluza-Klein bubbles
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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.
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Initial data for a black string and a Kaluza-Klein bubble: Space-dependent compactification radius
New analytic and numerical initial data are constructed for Kaluza-Klein spacetimes with a space-dependent compactification radius, covering black strings, naked or hidden KK bubbles, and multiple black strings.