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Helical Solutions in Scalar Gravity

Autor(en)
Robert Beig, Bernd Schmidt
Abstrakt

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(en)
Gravitationsphysik
Externe Organisation(en)
Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut)
Journal
General Relativity and Gravitation
Band
41
Seiten
2031-2043
Anzahl der Seiten
13
ISSN
0001-7701
DOI
https://doi.org/10.1007/s10714-009-0836-4
Publikationsdatum
2009
Peer-reviewed
Ja
ÖFOS 2012
103028 Relativitätstheorie, 103019 Mathematische Physik
Link zum Portal
https://ucrisportal.univie.ac.at/de/publications/974e5b44-7ff5-4735-b245-3b54237550bf