Peculiar velocities in dynamic spacetimes

Abstract

We investigate the asymptotic behavior of peculiar velocities in certain physically significant time-dependent gravitational fields. Previous studies of the motion of free test particles have focused on the \emph{collapse scenario}, according to which a double-jet pattern with Lorentz factor $\gamma \to \infty$ develops asymptotically along the direction of complete gravitational collapse. In the present work, we identify a second \emph{wave scenario}, in which a single-jet pattern with Lorentz factor $\gamma \to \infty$ develops asymptotically along the direction of wave propagation. The possibility of a connection between the two scenarios for the formation of cosmic jets is critically examined.

17 pages, 1 figure; v2: minor stylistic improvements

References in corpus (9)

• The Generalized Jacobi Equation
• Gravitomagnetic Jets
• Cosmic Jets
• Double-Kasner Spacetime: Peculiar Velocities and Cosmic Jets
• Gravitomagnetic Accelerators
• Spacetime Splitting, Admissible Coordinates and Causality
• Scattering by an electromagnetic radiation field
• Scattering of particles by radiation fields: a comparative analysis
• Particle dynamics and deviation effects in the field of a strong electromagnetic wave

Cited by in corpus (11)

• Relativistic Tidal Acceleration of Astrophysical Jets
• On Gravitational Chirality as the Genesis of Astrophysical Jets
• Twisted Gravitational Waves
• Anisotropic Gravitational Collapse and Cosmic Jets
• Twisted Gravitational Waves of Petrov Type D
• Static and Dynamic Melvin Universes
• Twisted Gravitational Waves in the Presence of a Cosmological Constant
• Chirality in Gravitational and Electromagnetic Interactions with Matter
• Elliptically Polarized Plane Gravitational Waves
• Vacuum gravitational fields with a null Killing vector
• Local Peculiar Motions in McVittie and LTB Spacetimes