Equations of motion in linearised gravity - Charged rotating sources

Physics

Scientific paper

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Electromagnetic Fields, Equations Of Motion, Field Theory (Physics), Gravitational Fields, Rotating Bodies, Space-Time Functions, Linearization, Stellar Rotation

Scientific paper

The paper considers the linearized gravitational and electromagnetic fields of an axially symmetric charged source which is rotating about its symmetry axis and moving with arbitrary acceleration along its symmetry axis when viewed in the flat background space-time. It is established that if the linearized field of the body and the linearized twist of the degenerate principal null direction of the Weyl tensor are 'wire' singularity-free, then the body must either move with zero acceleration or perform runaway motion from an unaccelerated state in the infinite past, and its mass and charge are constant at lowest order. Also, its rotation is either uniform or singular in the infinite past.

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