期刊
CLASSICAL AND QUANTUM GRAVITY
卷 26, 期 22, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/26/22/225013
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资金
- Fonds zur Forderung der Wissenschaftlichen Forschung [P20414-N16]
- NSF [DMS-0604960]
Generalizing previous work by two of the authors, we prove the non-existence of certain stationary configurations in general relativity having a spatial reflection symmetry across a non-compact surface disjoint from the matter region. Our results cover cases such as that of two symmetrically arranged rotating bodies with anti-aligned spins in n + 1 (n >= 3) dimensions, or two symmetrically arranged static bodies with opposite charges in (3 + 1) dimensions. They also cover certain symmetric configurations in (3 + 1)-dimensional gravity coupled to a collection of scalars and Abelian vector fields, such as those that arise in supergravity and Kaluza-Klein models. We also treat the bosonic sector of simple supergravity in 4 + 1 dimensions.
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