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