Abstract
Zel'manov's method of Chronometric invariants is used to develop an approach to the description of gravitoinertial waves of a chosen frame of reference. It is shown that there exist two basically different types of gravitoinertial waves in vacuum. Both types are examined in general relativity in the linear approximation.
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A. L. Zel'manov, Proc. Sixth Conf. on Questions of Cosmogony [in Russian], Izd-vo AN SSSR, Moscow (1959), p. 144.
V. D. Zakharov, Gravitational Waves in Einstein's Theory of Gravitation [m Russian], Moscow (1972), p. 156.
A. Z. Petrov, Doctoral Dissertation, Moscow State University (1956).
L. B. Grigor'eva and V. D. Zakharov, in: Gravitation and the Theory of Relativity [in Russian], No. 8, Izd-vo KGU (1971), p. 146.
L. D. Landau and E. M. Lifshits, Classical Theory of Fields, Addison-Wesley, Cambridge, Mass. (1951).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, Vol. 12, pp. 106–113, December, 1974.
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Borisova, L.B., Zakharov, V.D. Gravitoinertial waves in vacuum. Soviet Physics Journal 17, 1723–1728 (1974). https://doi.org/10.1007/BF00892886
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DOI: https://doi.org/10.1007/BF00892886