Relativistic Kinematics and Stationary Motions
arXiv:0902.4243 · doi:10.1088/1751-8113/42/44/445402
Abstract
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.
30 pages. Small corrections and added material
References in corpus (10)
- Jerk, snap, and the cosmological equation of state
- How often does the Unruh-DeWitt detector click? Regularisation by a spatial profile
- Cosmic Jerk, Snap and Beyond
- Radiation reaction in various dimensions
- Second-order gravitational self-force
- Taking the Temperature of a Black Hole
- Temperature versus acceleration: the Unruh effect for holographic models
- Accelerating Branes and Brane Temperature
- A Note on the Generalization of the GEMS Approach
- Noninertial quantum mechanical fluctuations
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- On the response of a particle detector in Anti-de Sitter spacetime
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- On the thermodynamics of moving bodies
- Stationary Worldline Power Distributions
- Voigt transformations in retrospect: missed opportunities?
- Lie Symmetries of Non-Relativistic and Relativistic Motions
- Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime
- Stationary trajectories in Minkowski spacetimes
- Observers with constant proper acceleration, constant proper jerk, and beyond
- On cosmological expansion and local physics
- On a Uniformly Accelerated Point Charge moving along a Cusp
- Waiting around for Unruh
- The Stationary Worldlines and Power Distributions of a Point Charge
- Relativistic minimization with constraints: A smooth trip to Alpha Centauri