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Medientyp:
E-Artikel
Titel:
Dust ball physics and the Schwarzschild metric
Beteiligte:
Kassner, Klaus
Erschienen:
American Association of Physics Teachers (AAPT), 2017
Erschienen in:American Journal of Physics
Sprache:
Englisch
DOI:
10.1119/1.4982785
ISSN:
0002-9505;
1943-2909
Entstehung:
Anmerkungen:
Beschreibung:
<jats:p>A physics-first derivation of the Schwarzschild metric is given. Gravitation is described in terms of the effects of tidal forces (or of spacetime curvature) on the volume of a small ball of test particles (a dust ball), freely falling after all particles were at rest with respect to each other initially. Because this formulation avoids the use of tensors, neither advanced tensor calculus nor sophisticated differential geometry are needed in the calculation. The derivation is not lengthy and it has visual appeal, so it may be useful in teaching.</jats:p>