On the validity of the geodesic motion near a black hole - A clarification

Astronomy and Astrophysics – Astronomy

Scientific paper

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Black Holes (Astronomy), Geodesy, Particle Motion, Schwarzschild Metric, Approximation, Particle Energy, Vacuum

Scientific paper

Tangherlini (1981) has claimed that the test particle approximation does not remain valid as the particle approaches the Schwarzschild event horizon. The present paper argues that Tangherlini's claim is not valid. The claim is argued to stem from the erroneous comparison of E as observed by a local observer with M which is not measured by the same observer, but by an observer at infinity. It is concluded that so far as the Schwarzschild metric is concerned, a test particle will remain a test particle for all observers at r greater than 2M.

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