Helical Solutions in Scalar Gravity
- Author(s)
- Robert Beig, Bernd Schmidt
- Abstract
We construct solutions, for small values of G and angular frequency Omega, of special relativistic scalar gravity coupled to ideally elastic matter which have helical but no stationary or axial symmetry. They correspond to a body without any symmetries in steady rotation around one of its axes of inertia, or two bodies moving on a circle around their center of gravity. Our construction is rigorous, but modulo an unproved conjecture on the differentiability of a certain functional.
- Organisation(s)
- Gravitational Physics
- External organisation(s)
- Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut)
- Journal
- General Relativity and Gravitation
- Volume
- 41
- Pages
- 2031-2043
- No. of pages
- 13
- ISSN
- 0001-7701
- DOI
- https://doi.org/10.1007/s10714-009-0836-4
- Publication date
- 2009
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103028 Theory of relativity, 103019 Mathematical physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/helical-solutions-in-scalar-gravity(974e5b44-7ff5-4735-b245-3b54237550bf).html