GRAVITATING OPPOSITES ATTRACT
Robert BeigGravitational Physics, Faculty of Physics, University of Vienna, Boltzmanngasse, A-1090 Vienna, AustriaG. W. GibbonsDAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge CW3 OBA, UKRichardDepartment of Mathematics, Stanford University, Stanford, CA 94305, USAM. Schoen
2013en
ABI
Abstract
Abstract. Generalizing previous work by two of us, we prove the nonexistence 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 ≥ 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.
Citations and references
Cited by 20 references