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Uniqueness and Non-Uniqueness of Static Vacuum Black Holes in Higher Dimensions
Author(s) -
G. W. Gibbons,
Daisuke Ida,
Tetsuya Shiromizu
Publication year - 2002
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.148.284
Subject(s) - uniqueness , uniqueness theorem for poisson's equation , manifold (fluid mechanics) , mathematics , black hole (networking) , topology (electrical circuits) , space (punctuation) , pure mathematics , mathematical analysis , computer science , combinatorics , engineering , mechanical engineering , computer network , routing protocol , routing (electronic design automation) , link state routing protocol , operating system
We prove the uniqueness theorem for asymptotically flat static vacuum blackhole solutions in higher dimensional space-times. We also construct infinitelymany non-asymptotically flat regular static black holes on the same spacetimemanifold with the same spherical topology.Comment: to appear in Progress of Theoretical Physics Supplement No. 14

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