Gravitating Opposites Attract

Details Gravitating Opposites Attract Gravitating Opposites Attract

2009-07-07

arxiv.org/abs/0907.1193v2

Class.Quant.Grav.26:225013,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages; slightly amended version, some references added, matches version to be published in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/26/22/225013

Generalizing previous work by two of us, 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 that of two symmetrically arranged rotating bodies with anti-aligned spins in $n+1$ ($n \geq 3$) 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 arise in supergravity and Kaluza-Klein models. We also treat the bosonic sector of simple supergravity in 4+1 dimensions.

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