A useful expression for relativistic energy conservation of a point mass in an isotropic static gravitational field

By using the symmetry and time-independence properties of Schwarzschild spacetime it is demonstrated that an energy conservation law may be expressed in terms of local velocity. From this form three important results may be derived very concisely. This highlights analogies and differences between re...

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Bibliographic Details
Published in:European journal of physics 2011-03, Vol.32 (2), p.535-540
Main Authors: Augousti, A T, Radosz, A, Ostasiewicz, K
Format: Article
Language:English
Subjects:
College Science
Communication, education, history, and philosophy
Energy Conservation
Equations (Mathematics)
Exact sciences and technology
General physics
Graduate Study
Magnets
Mechanics (Physics)
Physics
Physics literature and publications
Radiation
Science Instruction
Scientific Principles
Surveys and tutorial papers, resource letters
Undergraduate Study
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Summary:By using the symmetry and time-independence properties of Schwarzschild spacetime it is demonstrated that an energy conservation law may be expressed in terms of local velocity. From this form three important results may be derived very concisely. This highlights analogies and differences between relativistic and classical approaches to mechanics and serves as an illustration of the power that the use of particular expressions may provide in solving physical problems.
ISSN:0143-0807
1361-6404
DOI:10.1088/0143-0807/32/2/024