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Impossibility of a simple derivation of the Schwarzschild metric

Journal Article · · Am. J. Phys.; (United States)
DOI:https://doi.org/10.1119/1.15661· OSTI ID:5399624
The Schwarzschild metric, the general relativistic description of the space-time outside a spherical mass, has an extremely simple appearance. Because of this many attempts have been made to derive it by combining special relativity with concepts of Newtonian gravitation. It is shown here that such a derivation is impossible. A general discussion is given of the relationship of relativistic gravitation and its Newtonian limit with special emphasis on a particular non-Newtonian effect: spatial curvature.
Research Organization:
3318 Elm Street, Oakland, California 94609
OSTI ID:
5399624
Journal Information:
Am. J. Phys.; (United States), Journal Name: Am. J. Phys.; (United States) Vol. 56:3; ISSN AJPIA
Country of Publication:
United States
Language:
English

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