On the motion of rotating bodies in linearized gravity

Physics

Scientific paper

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Body Kinematics, Celestial Mechanics, Gravitational Fields, Linearization, Rotating Bodies, Acceleration (Physics), Axisymmetric Bodies, Equations Of Motion, Relativity

Scientific paper

We present a line element which, in Einstein's linearized theory, we associate with the gravitational field of an arbitrarily accelerating body endowed with rotation. We establish that if the body is axially symmetric, rotates uniformly about its symmetry axis and moves along its symmetry axis when viewed in a background flat space-time and if the linearized field (Riemann tensor) of the body is free of wire singularities then the body must move with uniform acceleration.

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