Robert Beig et al 2009 Class. Quantum Grav. 26 225013 doi:10.1088/0264-9381/26/22/225013
Robert Beig1, Gary W Gibbons2 and Richard M Schoen3
Show affiliationsGeneralizing 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.
04.50.-h Higher-dimensional gravity and other theories of gravity
04.70.-s Physics of black holes
04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields
Issue 22 (21 November 2009)
Received 9 July 2009, in final form 28 August 2009
Published 23 October 2009
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