Helical Solutions in Scalar Gravity

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.

11 pages

References in corpus (9)

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• Models of helically symmetric binary systems
• Celestial mechanics of elastic bodies
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Cited by in corpus (2)

• Celestial mechanics of elastic bodies II
• Self-gravitating elastic bodies