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Dynamics of Relativistic Flows

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arxiv astro-ph/0308421 v3 pith:DD7WGULR submitted 2003-08-25 astro-ph gr-qc

Dynamics of Relativistic Flows

classification astro-ph gr-qc
keywords speedambientforcelorentzrelativerelativisticdynamicsflow
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Dynamics of relativistic outflows along the rotation axis of a Kerr black hole is investigated using a simple model that takes into account the relativistic tidal force of the central source as well as the Lorentz force due to the large-scale electromagnetic field which is assumed to be present in the ambient medium. The evolution of the speed of the flow relative to the ambient medium is studied. In the force-free case, the resulting equation of motion predicts rapid deceleration of the initial flow and an asymptotic relative speed with a Lorentz factor of 2^1/2. In the presence of the Lorentz force, the long-term relative speed of the clump tends to the ambient electrical drift speed.

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