Energy and momentum of cylindrical gravitational waves

Solutions of Einstein's field equations were investigated for empty space describing cylindrical gravitational waves. It was found many years ago that in cylindrical polar coordinates the energy and momentum densities of gravitational waves, calculated with the help of a pseudo-tensor, vanish....

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Bibliographic Details
Published in:General relativity and gravitation 1993-04, Vol.25 (4), p.429-433
Main Authors: Rosen, Nathan, Virbhadra, K. S.
Format: Article
Language:English
Subjects:
CARTESIAN COORDINATES
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
CONFIGURATION
COORDINATES
CYLINDRICAL CONFIGURATION
ENERGY
ENERGY DENSITY
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES 661310 > Relativity & Gravitation-- (1992-)
GENERAL RELATIVITY THEORY
GRAVITATIONAL WAVES
LINEAR MOMENTUM
SYMMETRY
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Summary:Solutions of Einstein's field equations were investigated for empty space describing cylindrical gravitational waves. It was found many years ago that in cylindrical polar coordinates the energy and momentum densities of gravitational waves, calculated with the help of a pseudo-tensor, vanish. However, using Cartesian coordinates, one finds them to be finite and reasonable. The energy density is shown to be positive definite, and the momentum components have the expected symmetry. 5 refs.
ISSN:0001-7701
1572-9532
DOI:10.1007/BF00757123