Physics
Scientific paper
Mar 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..219e&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 18, March 1986, p. 219-233. CNPq-supported research.
Physics
3
Gravitational Waves, Relativity, Approximation, Einstein Equations, High Frequencies, Space-Time Functions
Scientific paper
The assumptions that enter into the formulation of the gravitational wave problem in the limit of high frequency are discussed. It is shown that depending on the relation between the amplitude parameter eta and the frequency parameter epsilon the concept of 'back-reaction' can have different physical interpretations. It is also shown that as a direct consequence of these assumptions, high-frequency gravitational waves do not disperse in a vacuum. Finally, some conjectures are made about a coordinate-free characterization of high frequency for some cases and also about the use of the invariants of the Weyl tensor for the problem of finding a background space-time given a vacuum space-time containing high frequency gravitational radiation.
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