Abstract
The Cauchy problem for equations of the theory of gravitation, linearized around the non-Galilean metric\(\mathop {g_{\alpha \beta } }\limits_{(0)} \), can have a nonunique solution.
Similar content being viewed by others
Literature cited
C. Meissner, C. Torn, and J. Wheeler, Gravitation [Russian translation], Vol. 1, Mir, Moscow (1977).
E. M. Lifshits and I. M. Khalatnikov, Usp. Fiz. Nauk,80, 391 (1963).
I. N. Bernshtein and V. F. Shvartsman, Zh. Eksp. Teor. Fiz.,79, 1617 (1980).
L. D. Landau and E. M. Lifshits, Field Theory [in Russian], Nauka, Moscow (1973).
V. N. Lukash, Zh. Eksp. Teor. Fiz.,79, 1601 (1980).
A. N. Temchin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 8, 87 (1980).
A. Z. Petrov, Einstein Spaces [in Russian], Fizmatgiz, Moscow (1961).
A. Z. Petrov, Einstein Spaces [in Russian], Fizmatgiz, Moscow (1961).
A. N. Temchin, Izv. Vyssh. Uchebn. Zaved., Fiz, No. 11, 58 (1980).
A. N. Temchin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9, 99 (1981).
L. R. Volevich, Usp. Mat. Nauk,18, 155 (1963).
V. Ya. Ivrii, Dokl. Akad. Nauk SSSR,207, 5 (1972).
V. Ya. Ivrii and V. M. Petkov, Usp. Mat. Nauk,29, 3 (1975).
V. Ya. Ivrii, Tr. Mosk. Mat. Obshch.,33, 3 (1976).
V. D. Zakharov, Gravitational Waves in the Einstein Theory of Gravitation [in Russian], Nauka, Moscow (1972).
V. L. Pelykh. Trudy All-Union Conference on Partial Differential Equations [in Russian], Moscow State Univ. (1978).
A. N. Temchin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 98 (1982).
A. N. Temchin, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 4 (1982).
F. I. Frankl', Usp. Mat. Nauk,11, 189 (1956).
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 95–98, July, 1982.
Rights and permissions
About this article
Cite this article
Temchin, A.N. Linear Einstein equations. III. Soviet Physics Journal 25, 669–672 (1982). https://doi.org/10.1007/BF00911804
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00911804