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arXiv · 0712.0902

Orthogonal black di-ring solution

Keisuke Izumi
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Abstract

We construct a five dimensional exact solution of the orthogonal black di-ring which has two black rings whose $S^1$-rotating planes are orthogonal. This solution has four free parameters which represent radii of and speeds of $S^1$-rotation of the black rings. We use the inverse scattering method. This method needs the seed metric. We also present a systematic method how to construct a seed metric. Using this method, we can probably construct other solutions having many black rings on the two orthogonal planes with or without a black hole at the center.

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Keisuke Izumi. 2008-01-06. Orthogonal black di-ring solution. https://doi.org/10.1143/ptp.119.757

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