Geometrical treatment of force: A static example
作者:
Robert K. Bender,
期刊:
American Journal of Physics
(AIP Available online 1981)
卷期:
Volume 49,
issue 11
页码: 1066-1069
ISSN:0002-9505
年代: 1981
DOI:10.1119/1.12645
出版商: American Association of Physics Teachers
关键词: GENERAL RELATIVITY THEORY;GEOMETRY;EQUIVALENCE PRINCIPLE;FORCES
数据来源: AIP
摘要:
An example of the geometric treatment of a classical force is presented as a concrete illustration of the principle of covariance, an idea that is basic to general relativity. The manner in which the force components are accounted for by the Christoffel symbols associated with the model geometry is easily seen because of the familiar nature of the three‐dimensional, classical, example. We then briefy indicate how this three‐dimensional case can be extended to the four‐dimensional geometries of general relativity. Making contact between classical examples and general relativity is usually done via the principle of equivalence, which involves coordinate systems in relative motion. Our example involves the geometric model that represents a single coordinate system.
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