Double-Kasner Spacetime: Peculiar Velocities and Cosmic Jets

Details Double-Kasner Spacetime: Peculiar Velocities and Cosmic Jets Double-Kasner Spacetime: Peculiar Velocities and Cosmic Jets

2011-04-27

arxiv.org/abs/1104.5058v2

Phys.Rev.D83:124029,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

37 pages, 5 figures; v2: minor typos corrected

Scientific paper

10.1103/PhysRevD.83.124029

In dynamic spacetimes in which asymmetric gravitational collapse/expansion is taking place, the timelike geodesic equation appears to exhibit an interesting property: Relative to the collapsing configuration, free test particles undergo gravitational "acceleration" and form a double-jet configuration parallel to the axis of collapse. We illustrate this aspect of peculiar motion in simple spatially homogeneous cosmological models such as the Kasner spacetime. To estimate the effect of spatial inhomogeneities on cosmic jets, timelike geodesics in the Ricci-flat double-Kasner spacetime are studied in detail. While spatial inhomogeneities can significantly modify the structure of cosmic jets, we find that under favorable conditions the double-jet pattern can initially persist over a finite period of time for sufficiently small inhomogeneities.

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