Abstract
The general relativistic kinetic theory including the effect of a stationary gravitational field is applied to the electromagnetic transport processes in conductors. Then it is applied to derive the general relativistic Ohm’s law where the gravitomagnetic terms are incorporated. The total electric charge quantity and charge distribution inside conductors carrying conduction current in some relativistic cases are considered. The general relativistic Ohm’s law is applied to predict new gravitomagnetic and gyroscopic effects which can, in principle, be used to detect the Lense-Thirring and rotational fields.
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REFERENCES
J. Ehlers, “General relativity and kinetic theory,” in General Relativity and Cosmology, R. K. Sachs, ed. (Academic, 1971), pp. 1-70.
A. Georgiou, “Relativistic transport equations for plasmas,” Class. Quantum Grav. 12, 1491-1501 (1995).
G. Brodin and M. Marklund, “Parametric excitation of plasma waves by gravitational radiation,” Phys. Rev. Lett. 82, 3012-3015 (1999).
K. Elsässer and S. Popel, “Plasma equations in general relativity,” Phys. Plasmas 4, 2348-2356 (1997).
D. C. Kelly, “Electrical and thermal conductivities of a relativistic degenerate plasma,” Astrophys. J. 179, 599-606 (1973).
V. F. Fateev, “Gyroscopic effect in coil conductors carrying electric current,” Sov. Tech. Phys. Lett. 15, 72-75 (1989).
C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, 1973).
G. Montani, R. Ruffini, and R. M. Zalaletdinov, “Gravitating macroscopic media in general relativity and macroscopic gravity,” Nuovo Cim. B 115, 1343-1354 (2000).
A. N. Kaufman, “Maxwell equations in nonuniformly moving media,” Ann. Phys. 18, 264-273 (1962).
N. A. Chernikov, “The relativistic gas in the gravitational field,” Acta Phys. Polon. 23, 629-645 (1963); “Microscopic foundation of relativistic hydrodynamics,” ibid. 27, 465-489 (1964).
S. R. de Groot, W. A. van Leuween, and Ch. G. van Weert, Relativistic Kinetic Theory (North-Holland, 1980).
T. W. Darling, F. Rossi, G. I. Opat, and G. F. Moorhead, “The fall of charged particles under gravity: A study of experimental problems,” Rev. Mod. Phys. 64, 237-257 (1992).
J. Anandan, “Relativistic thermoelectromagnetic gravitational effects in normal conductors and superconductors,” Phys. Lett. A. 105, 280-284 (1984).
B. J. Ahmedov and L. Ya. Arifov, “Principles for detecting charge redistribution produced by fields of gravity and inertia inside conductors,” Gen. Rel. Grav. 26, 1187-1195 (1994).
B. J. Ahmedov, “General relativistic galvano-gravitomagnetic effect in current carrying conductors,” Phys. Lett. A. 256, 9-14 (1999).
B. J. Ahmedov, “General relativistic Ohm’s law and Coriolis force effects in rotating conductors,” Gravit. Cosmology 4, 139-141 (1998).
B. V. Vasil’ev, “Thermogyromagnetic effects,” Russian Physics JETP Letters 60, 47-50 (1994).
A. K. Jain, J. E. Lukens, and J. S. Tsai, “Test for relativistic gravitational effects on charged particles,” Phys. Rev. Lett. 58, 1165-1168 (1987).
J. Lense, H. Thirring, “Über den Einfluss der Eigenrotation der Zentralkorper auf die Bewegung der Planeten und Monde nach der Einsteinschen Gravitationstheorie,” Phys. Z. 19, 156-163 (1918).
B. Mashhoon, F. W. Hehl, and D. S. Theiss, “On the gravitational effects of rotating masses: The Thirring-Lense papers,” Gen. Rel. Grav. 16, 711-750 (1984).
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Ahmedov, B.J., Ermamatov, M.J. Electrical Conductivity in General Relativity. Found Phys Lett 15, 137–151 (2002). https://doi.org/10.1023/A:1020948024023
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DOI: https://doi.org/10.1023/A:1020948024023