The paper systematically constructs known multi-BTZ black hole solutions from a flat-space seed via Riemann-Hilbert factorization and SO(4,4) transformations.
Boosted Black Holes on Kaluza-Klein Bubbles
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abstract
We construct an exact stationary solution of black hole -- bubble sequence in the five dimensional Kaluza-Klein theory by using solitonic solution generating techniques. The solution describes two boosted black holes with topology S^3 on a Kaluza-Klein bubble and has a linear momentum component in the compactified direction. The ADM mass and the linear momentum depend on the two boosted velocity parameters of black holes. In the effective four dimensional theory, the solution has an electric charge which is proportional to the linear momentum. The solution includes the static solution found by Elvang and Horowitz and a limit of single boosted black string.
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Building multi-BTZ black holes through Riemann-Hilbert problem
The paper systematically constructs known multi-BTZ black hole solutions from a flat-space seed via Riemann-Hilbert factorization and SO(4,4) transformations.