Flow and peculiar velocities for generic motion in spherically symmetric black holes

Abstract

In this methodological paper we consider geodesic motion of particles in a spherically symmetric black hole space-times. We develop an approach based on splitting the velocity of a freely falling particle to the flow velocity, which depends only on a metric, and deviation from it (a peculiar velocity). It applies to a wide class of spherically symmetric metrics and is exploited under the horizon of the Schwarzschild black hole. The present work generalizes previous results obtained for pure radial motion. Now, the motion is, in general, nonradial, so that an observer can have a nonzero angular momentum. This approach enables us to give simple physical interpretation of redshift (blueshift) inside the horizon including the region near the singularity and agrees with the recent results obtained by direct calculations.

arXiv comment22 pages, no figures, published version

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Cited by in corpus (6)

• On particle dynamics near the singularity inside the Schwarzschild black hole and T-spheres
• General radially moving references frames in the black hole background
• Regular frames for spherically symmetric black holes revisited
• Particle decay, Oberth effect and a relativistic rocket in the Schwarzschild background
• Near-horizon behavior of nonequatorial accelerated particle motion and high energy particle collisions
• Dynamics of redshift/blueshift during free fall under the Schwarzschild horizon