Abstract
Einstein gravitational waves radiated by an island system of arbitrary structure are analyzed. The effect of retardation on the wave structure can be dealt with vigorously by using Fourier series and switching to the Helmholtz equation. The Lorentz gauge and the strong conservation of the energy-momentum tensor of the matter determine each other unambiguously, so the introduction of gauge fields is unnecessary. It is not possible to suppress radiated waves of any type by means of the gauge. The most promising types of gravitational waves for gravitational-wave experiments are identified.
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Literature cited
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation, Freeman, San Francisco (1973).
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Leningrad Electrotechnical Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 107–111, October, 1992.
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Yurov, Y.Y. Gauge eelations for spherical gravitational waves. Russ Phys J 35, 983–986 (1992). https://doi.org/10.1007/BF00559899
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DOI: https://doi.org/10.1007/BF00559899