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Relativistic kinematics and stationary motions

2009; Institute of Physics; Volume: 42; Issue: 44 Linguagem: Inglês

10.1088/1751-8113/42/44/445402

1751-8121

Jorge G. Russo, Paul Townsend,

Cosmology and Gravitation Theories

The relativistic jerk, snap and all higher-order kinematical D-vectors are defined for the motion of a massive particle in a D-dimensional Minkowski spacetime.We illustrate the formalism with stationary motions, for which we provide a new, Lorentz covariant, classification.We generalize some cases to branes, explaining the relevance to uniform motion in a heat bath.We also consider some non-stationary motions, including motion with constant proper jerk, and free fall into a black hole as viewed from a GEMS perspective.