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Ultrarelativistic Motion: Inertial and Tidal Effects in Fermi Coordinates

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arxiv gr-qc/0409017 v2 pith:RZDYEXBU submitted 2004-09-04 gr-qc astro-ph

Ultrarelativistic Motion: Inertial and Tidal Effects in Fermi Coordinates

classification gr-qc astro-ph
keywords coordinatesfermiinertialtidalultrarelativisticeffectsmotionparticles
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Fermi coordinates are the natural generalization of inertial Cartesian coordinates to accelerated systems and gravitational fields. We study the motion of ultrarelativistic particles and light rays in Fermi coordinates and investigate inertial and tidal effects beyond the critical speed c/sqrt(2). In particular, we discuss the black-hole tidal acceleration mechanism for ultrarelativistic particles in connection with a possible origin for high-energy cosmic rays.

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