Augousti, A.T. and Radosz, A. (2006) An observation on the congruence of the escape velocity in classical mechanics and general relativity in a Schwarzschild metric. European Journal of Physics, 27(2), pp. 331-335. ISSN (print) 0143-0807Full text not available from this archive.
In classical mechanics, the escape velocity is defined as the minimum value of velocity that an object requires in order to leave a gravitational field asymptotically. This quantity may be used to measure the strength of the gravitational field. In general relativity, a suitable parameter characterizing the strength of a gravitational field is the Schwarzschild radius, RS, which corresponds to the singularity of Schwarzschild metrics. Classical mechanics itself is a weak-gravitational-field and small-velocity limit of general relativity and its predictions refer to the phenomena of that domain. But when the escape velocity is formally put equal to c, the critical radius defined in such a way coincides with an exact critical radius, namely the Schwarzschild radius. We discuss here the source of this coincidence.
|Faculty, School or Research Centre:||Faculty of Science (until 2011) > School of Life Sciences
Faculty of Science (until 2011)
|Depositing User:||Katrina Clifford|
|Date Deposited:||28 May 2008|
|Last Modified:||28 Apr 2011 13:43|
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