Small deformations of extreme 5D Myers-Perry black hole initial data

Citation:

Alaee, A. & Kunduri, H. Small deformations of extreme 5D Myers-Perry black hole initial data. General Relativity and Gravitation 47, 2, (2015).

Abstract:

We demonstrate the existence of a one-parameter family of initial data for the vacuum Einstein equations in five dimensions representing small deformations of the extreme Myers–Perry black hole. This initial data set has \(t-\phi^i\) symmetry and preserves the angular momenta and horizon geometry of the extreme solution. Our proof is based upon an earlier result of Dain and Gabach-Clement concerning the existence of \(U(1)^2\)-invariant initial data sets which preserve the geometry of extreme Kerr (at least for short times). In addition, we construct a general class of transverse, traceless symmetric rank 2 tensors in these geometries.

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