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On the topology of black holes

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Abstract

We establish from local hypotheses some results concerning the final state topology of black holes. We show that the surface of a black hole must have 2-sphere topology and that the topology of space in its vicinity is simple.

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Communicated by S.-T. Yau

Dedicated to Ted Frankel

This work has been partially supported by NSF grants DMS-8802877 and DMS-9006678

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Galloway, G.J. On the topology of black holes. Commun.Math. Phys. 151, 53–66 (1993). https://doi.org/10.1007/BF02096748

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  • DOI: https://doi.org/10.1007/BF02096748

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