A theory of gravitation with a massive graviton which was proposed by Visser is considered. An exact solution of this theory is found for the case when the source of the gravitational field is a scalar plane wave. Hamilton–Jacobi methods are used to obtain the laws of motion of massive and massless particles in this gravitational field.
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References
P. G. Freund, A. Maheshwari, and E. Schonberg, Astrophys. J., 157, 857–867 (1969).
A. A. Logunov and M. A. Mestvirishvili, Teor. Mat. Fiz., 65, No. 1, 3–15 (1985).
M. Visser, Gen. Relativ. Gravit., 30, 1717 (1998).
S. V. Babak and L. P. Grishchuk, Int. J. Mod. Phys. D, 12, 1905–1959 (2003).
S. V. Babak and L. P. Grishchuk, Phys. Rev. D, 61, No. 2, 024038 (2000). DOI: https://doi.org/10.1103/PhysRevD.61.024038.
A. A. Logunov and M. A. Mestvirishvili, Teor. Mat. Fiz., 86, No. 1, 3–15 (1991).
Yu. V. Chugreev, Pis’ma Elem. Chast. At. Yad., 15, No. 1, 61–61 (2018).
Yu. V. Chugreev, Pis’ma Elem. Chast. At. Yad., 14, No. 4, 346–363 (2017).
Yu. V. Chugreev, Theor. Math. Phys., 194, No. 3, 437–447 (2018).
L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Butterworth-Heinemann, London (1975).
I. P. Denisova, Teor. Mat. Fiz., 116, No. 3, 474–480 (1998); DOI: https://doi.org/10.4213/tmf917.
A. N. Avakyan, Teor. Mat. Fiz., 118, No. 2, 311–316 (1999); DOI: https://doi.org/10.4213/tmf702.
Yu. G. Ignat’ev and A. R. Samigullina, Russ. Phys. J., 63, No. 1, 23–33 (2020).
V. G. Krechet, V. B. Oshurko, and S. D. Ivanova, Russ. Phys. J., 62, No. 12, 2157–2168 (2019).
V. A. Abakumova, D. S. Kaparulin, and S. L. Lyakhovich, Russ. Phys. J., 62, No. 1, 12–22 (2019).
D. A. Solovyev and A. N. Tsirulev, Class. Quantum Grav., 29, 055013 (2012).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 10–15, January, 2021.
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Baiderin, A.A., Denisova, I.P. & Rostovskiy, V.S. Exact Plane-Wave Solution of the Equations of a Theory of Gravitation with a Massive Graviton. Russ Phys J 64, 9–16 (2021). https://doi.org/10.1007/s11182-021-02294-6
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DOI: https://doi.org/10.1007/s11182-021-02294-6