Topology Change of Black Holes
نویسندگان
چکیده
The topological structure of the event horizon has been considered in terms of the Morse theory. The elementary process of topology changes can be understood as a handle attachment. It has been found that there are certain constraints on the black hole topology changes: (i) There are n kinds of the handle attachment in the (n+1)-dimensional black hole space-times. (ii) The handle is further classified into either black or white type and only the black handles appear in real black hole space-times. (iii) The spacial section of the exterior of the black hole region is always connected. As a corollary, it is shown that the formation of black hole with the S ×S horizon from that with the S horizon must be non-axisymmetric in asymptotically flat space-times.
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