Mathematics
Scientific paper
May 2009
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009aipc.1122..296h&link_type=abstract
PHYSICS AND MATHEMATICS OF GRAVITATION: Proceedings of the Spanish Relativity Meeting 2008. AIP Conference Proceedings, Volume
Mathematics
Galactic Nuclei, Circumnuclear Matter, And Bulges, Particle-Theory And Field-Theory Models Of The Early Universe, Numerical Approximation And Analysis
Scientific paper
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. 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 might be of interest in studying spin-spin interactions in five dimensional general relativity.
Costa Silvana M.
Herdeiro Carlos A. R.
Rebelo Carmen
Zilha~O Miguel
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