Gravitating Opposites Attract

Author(s)
Robert Beig, Garry W. Gibbons, Richard M Schoen
Abstract

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.

Organisation(s)
Gravitational Physics
External organisation(s)
University of Cambridge, Stanford University
Journal
Classical and Quantum Gravity
Volume
26
No. of pages
12
ISSN
0264-9381
DOI
https://doi.org/10.1088/0264-9381/26/22/225013
Publication date
2009
Peer reviewed
Yes
Austrian Fields of Science 2012
103036 Theoretical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/gravitating-opposites-attract(a0bb45e3-b8df-434b-ae50-13363d4fee2f).html