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arXiv · 1407.0988

Small deformations of extreme five dimensional Myers-Perry black hole initial data

Aghil Alaee·Hari K Kunduri
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Abstract

In this note 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 $U(1)$-invariant initial data sets which preserve the geometry of extreme Kerr (at least for short times)

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Aghil Alaee, Hari K Kunduri. 2014-07-03. Small deformations of extreme five dimensional Myers-Perry black hole initial data. https://doi.org/10.1007/s10714-015-1853-0

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