Gravitational effects in a rotating prolate spheroid

Computer Science

Scientific paper

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Scientific paper

The weak-field approximation to the Ernst equations is formulated in terms of two harmonic functions. The gravitational field of a rotating prolate spheroid is found. Formulae are given for the total mass and angular momentum, tension in the shell, gravitational force and dragging of inertial frames. A comparison is made with the case of an infinite rotating hollow cylinder.

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