Helical Solutions in Scalar Gravity

Details Helical Solutions in Scalar Gravity Helical Solutions in Scalar Gravity

2009-05-15

arxiv.org/abs/0905.2437v1

Gen.Rel.Grav.41:2031-2043,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages

Scientific paper

10.1007/s10714-009-0836-4

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.

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