Friction forces in cosmological models
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We investigate the dynamics of test particles undergoing friction forces in a Friedmann–Robertson–Walker (FRW) spacetime. The interaction with the background fluid is modeled by introducing a Poynting–Robertson-like friction force in the equations of motion, leading to measurable (at least in principle) deviations of the particle trajectories from geodesic motion. The effect on the peculiar velocities of the particles is investigated for various equations of state of the background fluid and different standard cosmological models. The friction force is found to have major effects on particle motion in closed FRW universes, where it turns the time-asymptotic value (approaching the recollapse) of the peculiar particle velocity from ultra-relativistic (close to light speed) to a co-moving one, i.e., zero peculiar speed. On the other hand, for open or flat universes the effect of the friction is not so significant, because the time-asymptotic peculiar particle speed is largely non-relativistic also in the geodesic case.
KeywordsFriction Force Peculiar Velocity Closed Universe Geodesic Motion Flat Universe
DG is supported by the Erasmus Mundus Joint Doctorate Program by Grant Number 2011-1640 from the EACEA of the European Commission.
- 3.P.J.E. Peebles, Principles of Physical Cosmology (Princeton University Press, Princeton, 1993) Google Scholar
- 7.J.H. Poynting, Philos. Trans. R. Soc. 203, 525 (1903) Google Scholar
- 13.H. Stephani, D. Kramer, M. MacCallum, C. Hoensealers, E. Herlt, Exact Solutions of Einstein’s Field Equations (Cambridge University Press, Cambridge, 2002) Google Scholar