Ultrarelativistic Motion: Inertial and Tidal Effects in Fermi Coordinates

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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13 pages, 3 figures, slightly expanded version accepted for publication in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/22/1/013

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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