Ultrarelativistic Motion: Inertial and Tidal Effects in Fermi Coordinates

Abstract

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.

arXiv comment13 pages, 3 figures, slightly expanded version accepted for publication in Class. Quantum Grav

References in corpus (8)

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• The Generalized Jacobi Equation
• On the physical meaning of Fermi coordinates
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Cited by in corpus (23)

• Dynamics of Extended Spinning Masses in a Gravitational Field
• Relativistic Motion of Spinning Particles in a Gravitational Field
• Explicit Fermi Coordinates and Tidal Dynamics in de Sitter and Goedel Spacetimes
• Tidal Dynamics in Cosmological Spacetimes
• Tidal Dynamics in Kerr Spacetime
• Kerr metric, static observers and Fermi coordinates
• Gravitomagnetic Jets
• On the generalized Jacobi equation
• Generalized Radar 4-Coordinates and Equal-Time Cauchy Surfaces for Arbitrary Accelerated Observers
• Beyond Gravitoelectromagnetism: Critical Speed in Gravitational Motion
• Weitzenböck's Torsion, Fermi Coordinates and Adapted Frames
• Relativistic Tidal Acceleration of Astrophysical Jets
• Double-Kasner Spacetime: Peculiar Velocities and Cosmic Jets
• Extended Fermi coordinates
• Gravitomagnetic Accelerators
• Strains in General Relativity
• Tidal effects on magnetic gyration of a charged particle in Fermi coordinates
• A Gravitational Mechanism for the Acceleration of Ultrarelativistic Particles
• Gravitational clock compass in General Relativity
• On $k$-jet field approximations to geodesic deviation equations
• Repulsive effect for the unbound high energy particles along the rotation axis in the Kerr-Taub-NUT spacetime
• General Relativistic Gravity Gradiometry
• Transformation equation for frames undergoing non-uniform acceleration such as SHM and rotational motion