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://ucrisportal.univie.ac.at/en/publications/helical-solutions-in-scalar-gravity(974e5b44-7ff5-4735-b245-3b54237550bf).html