Abstract
We find the effective Riemannian space–time corresponding to the gravitational field generated by a charged mass point in the framework of the relativistic theory of gravity. The causality principle plays an important role in solving this problem. The analytic form and the domain of definition, i.e., the gravitational radius, of the obtained solution differ from the corresponding results in Einstein's general relativity theory.
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REFERENCES
A. A. Logunov and M. A. Mestvirishvili, The Relativistic Theory of Gravitation [in Russian], Nauka, Moscow (1989); English transl., Mir, Moscow (1989).
A. A. Logunov, “Relativistic theory of gravity and the Mach principle [in Russian],” Preprint No. 95-128, IFVE, Protvino (1995).
A. A. Logunov, Relativistic Theory of Gravity and Mach Principle (Horizons in World Physics, Vol. 215), Nova Science, Commack, N. Y. (1998); Theory of the Gravitational Field [in Russian], Nauka, Moscow (2001).
C. Truesdell and R. A. Toupin, “The classical field theories,” in: Handbuch der Physik, III/1, Springer, Berlin (1960), pp. 226-858.
E. Soós, “Géométrie et électromagnetisme,” Preprint, Math. Dept., Univ. Timisoara, Timisoara, Romania (1992).
C. C. Wang, Mathematical Principles of Mechanics and Electromagnetism: Part B.Electromagnetism and Gravitation, Plenum, New York (1979).
P. V. Karabut and Yu. V. Chugreev, Theor.Math.Phys., 78, 217-223 (1989).
D. Ionescu and E. Soós, Rev.Roumaime Math.Pures Appl., 45, No. 2, 251-260 (2000).
C. Moller, The Theory of Relativity, Clarendon, Oxford (1972).
Yu. P. Vyblyi, “The field of a pointlike charge in the relativistic theory of gravity [in Russian],” in: Exact Solution of Einstein Equations and Their Physical Interpretation (I. P. Pijr, ed.), Tartu Univ. Press, Tartu, Estonia (1988), pp. 74-75.
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Ionescu, D. The Gravitational Field of an Electrically Charged Mass Point and the Causality Principle in the RTG. Theoretical and Mathematical Physics 136, 1177–1187 (2003). https://doi.org/10.1023/A:1025026207563
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DOI: https://doi.org/10.1023/A:1025026207563