Cosmological evolution of plasma with scalar interparticle interaction. I. canonical formulation of classical scalar interaction. (English. Russian original) Zbl 1254.83054
Russ. Phys. J. 55, No. 2, 166-172 (2012); translation from Izv. Vyssh. Uchebn. Zaved., Fiz., No. 1, 36-40 (2012).
Summary: Dynamic equations of scalar charged particle motion in a classical scalar field are formulated based on the Hamilton formalism, and a model with zero particle mass is considered. Linear integrals of motion are derived, and ambiguity of the relationship between the kinematic particle velocity and momentum is indicated.
MSC:
| 83F05 | Relativistic cosmology |
| 83C55 | Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
References:
| [1] | D. Gal’tsov and E. Davydov, in: Quantum Theory and Cosmology [in Russian], Publishing House of Friedman Laboratory (2009), pp. 25–44. |
| [2] | Yu. G. Ignat’ev and R. F. Miftakhov, in: Proc. II Russian Summer School ”Modern Theoretical Problems of Gravitation and Cosmology,” Kazan’ (2009), pp. 76–83. |
| [3] | V. M. Zhuravlev and R. R. Abbyazov, Gravit. Cosmol., 16, No. 1, 50 (2010). · Zbl 1232.83116 · doi:10.1134/S020228931001007X |
| [4] | V. M. Zhuravlev, Zh. Eksp. Teor. Fiz., 120, 1042 (2001). |
| [5] | Yu. Ignat’ev and R. Miftakhov, Gravit. Cosmol., 12, Nos. 2–3, 179–184 (2006); arXiv:1011.5774 [gr-qc]. |
| [6] | Yu. G. Ignat’ev, Sov. Phys. J., 25, No. 4, 372–375 (1982). · doi:10.1007/BF00906216 |
| [7] | Yu. G. Ignat’ev, Sov. Phys. J., 26, No. 8, 686–689 (1983). · doi:10.1007/BF00898874 |
| [8] | Yu. G. Ignat’ev, Sov. Phys. J., 26, No. 8, 690–693 (1983). · doi:10.1007/BF00898875 |
| [9] | Yu. G. Ignat’ev, Sov. Phys. J., 26, No. 12, 1065–1067 (1983). · doi:10.1007/BF00894633 |
| [10] | G. G. Ivanov, Sov. Phys. J., 26, No. 1, 31–35 (1983). · doi:10.1007/BF00892176 |
| [11] | Yu. G. Ignat’ev and A. A. Popov, Actrophys. Space Sci., 163, 153–174 (1990); arXiv:1101.4303v1 [gr-qc]. · doi:10.1007/BF00639984 |
| [12] | A. Z. Petrov, New Methods in General Relativity Theory [in Russian], Nauka, Moscow (1966). · Zbl 0146.23901 |
| [13] | Yu. G. Ignat’ev, The Relativistic Kinetic Theory of Nonequilibrium Processes in Gravitational Fields [in Russian], Publishing House ”Foliant”, Kazan’ (2010); http://rgs.vniims.ru/books/const.pdf . |
| [14] | Yu. G. Ignat’ev and R. R. Kuzeev, Ukr. Fiz. Zh., 29, 1021 (1984). |
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