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arXiv · 0905.2437

Helical Solutions in Scalar Gravity

Robert Beig·Bernd G. Schmidt
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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.

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Robert Beig, Bernd G. Schmidt. 2009-05-15. Helical Solutions in Scalar Gravity. https://doi.org/10.1007/s10714-009-0836-4

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