The geometry of the Kerr-Newman ergosurface.

Physics

Scientific paper

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General Relativity:Kerr Black Holes, Kerr Black Holes:General Relativity

Scientific paper

The sign of the Gaussian curvature of the ergosurface of a Kerr-Newman black hole depends on the amounts of the angular momentum and electric charge of the black hole. It is proved that polar cups of negative curvature exist on the ergosurface. In spite of the existence of these regions of negative curvature, a global embedding of the ergosurface on a Euclidean 3-space is always possible contrary to the case of the horizon where the negative curvature cups do not allow such an embedding. The dependence of the ergosurface's shape (prolate or oblate) on the values of the angular momentum and charge of the black hole is also discussed.

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