Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-05-08
JHEP 0807:009,2008
Physics
High Energy Physics
High Energy Physics - Theory
23 pages, 7 figures, LaTeX. v2: minor changes, references added; version published in JHEP
Scientific paper
10.1088/1126-6708/2008/07/009
Using the inverse scattering method we construct a six-parameter family of exact, stationary, asymptotically flat solutions of the 4+1 dimensional vacuum Einstein equations, with U(1)^2 rotational symmetry. It describes the superposition of two Myers-Perry black holes, each with a single angular momentum parameter, both in the same plane. The black holes live in a background geometry which is the Euclidean C-metric with an extra flat time direction. This background possesses conical singularities in two adjacent compact regions, each corresponding to a set of fixed points of one of the U(1) actions in the Cartan sub-algebra of SO(4). We discuss several aspects of the black holes geometry, including the conical singularities arising from force imbalance, and the torsion singularity arising from torque imbalance. The double Myers-Perry solution presented herein is considerably simpler than the four dimensional double Kerr solution and might be of interest in studying spin-spin interactions in five dimensional general relativity.
Costa Silvana M.
Herdeiro Carlos A. R.
Rebelo Carmen
Zilhao Miguel
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