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Uniqueness Theorem for Black Objects

Rogatko, Marek
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Abstract

We shall review the current status of uniqueness theorem for black objects in higher dimensional spacetime. At the beginning we consider static charged asymptotically flat spacelike hypersurface with compact interior with both degenerate and non-degenerate components of the event horizon in n-dimensional spacetime. We gave some remarks concerning partial results in proving uniqueness of stationary axisymmetric multidimensional solutions and winding numbers which can uniquely characterize the topology and symmetry structure of black objects.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSAXIAL SYMMETRYCOMPOSITE MODELSCOSMOLOGYDIFFERENTIAL EQUATIONSEQUATIONSEXTENDED PARTICLE MODELM-THEORYMATHEMATICAL MODELSMATHEMATICSMATTERNONLUMINOUS MATTERPARTIAL DIFFERENTIAL EQUATIONSPARTICLE MODELSQUARK MODELSIMULATIONSPACE-TIMESTRING MODELSSTRING THEORYSYMMETRYTOPOLOGYWAVE EQUATIONS

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Rogatko, Marek. 2010-06-23. Uniqueness Theorem for Black Objects. https://doi.org/10.1063/1.3462701

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