Tidal Dynamics of Relativistic Flows Near Black Holes

Details Tidal Dynamics of Relativistic Flows Near Black Holes Tidal Dynamics of Relativistic Flows Near Black Holes

2004-04-07

arxiv.org/abs/astro-ph/0404170v3

Annalen Phys. 14 (2005) 290-308

Astronomy and Astrophysics

Astrophysics

33 pages, 7 figures, slightly expanded version accepted for publication in Ann. Phys. (Leipzig)

Scientific paper

10.1002/andp.200410126

We point out novel consequences of general relativity involving tidal dynamics of ultrarelativistic relative motion. Specifically, we use the generalized Jacobi equation and its extension to study the force-free dynamics of relativistic flows near a massive rotating source. We show that along the rotation axis of the gravitational source, relativistic tidal effects strongly decelerate an initially ultrarelativistic flow with respect to the ambient medium, contrary to Newtonian expectations. Moreover, an initially ultrarelativistic flow perpendicular to the axis of rotation is strongly accelerated by the relativistic tidal forces. The astrophysical implications of these results for jets and ultrahigh energy cosmic rays are briefly mentioned.

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