Title

Topological censorship, the topology of black holes, and the end structure of space

Date of Award

2001

Availability

Article

Degree Name

Doctor of Philosophy (Ph.D.)

First Committee Member

Gregory J. Galloway, Committee Chair

Abstract

A new result on topological censorship is presented. Roughly speaking, the result shows that, under suitable conditions, the topology of space outside the event horizon of a black hole must eventually be simple. In particular, cross sections of the event horizon must eventually be spherical. This latter consequence of the main result generalizes, in many respects, the classical theorem of Hawking that black hole boundaries in stationary black hole space-times are spherical. Another important consequence of the main result is that there can only exist one end to space outside the event horizon.

Keywords

Mathematics; Physics, Astronomy and Astrophysics

Link to Full Text

http://access.library.miami.edu/login?url=http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3032381