Defining a Test Particle's Velocity at the Schwarzschild Horizon

Details Defining a Test Particle's Velocity at the Schwarzschild Horizon Defining a Test Particle's Velocity at the Schwarzschild Horizon

Nov 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001aard.conf..119c&link_type=abstract

ASTRONOMY AND ASTROPHYSICS Recent Developments. Proceedings of the 10th Portuguese Meeting. Held 27-28 July 2000 in CENTRA, Lisb

Astronomy and Astrophysics

Astrophysics

Scientific paper

It is often argued that, in a stationary space-time, the velocity relative to stationary observers has direct physical significance. In the Schwarzschild field case, in the static reference frame at rest with respect to the mass creating the gravitational field, the speed of a freely falling test particle approaches the speed of light at the event horizon. To avoid some unphysical interpretations that now and then appear in the literature, we propose the use of generalized observer sets and give a prescription for defining the speed of test particles relative to these observers which contains the expressions currently used. It is also shown that, for radial geodesic observers, and indeed for any physical observer, the speed of a freelly falling material particle is always less than the speed of light at any point on the black hole surface.

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