Generalization of the Hoyle-Narlikar theory and connection between electromagnetism and gravitation in the generalized theory
(1) Chair of Theoretical Physics, Physics Department, LomonosovMoscow State University, Moscow, 119991, Russia
A generalization of the Hoyle-Narlikar theory is proposed, allowing for inclusion of electromagnetism into the scheme of this theory. This is carried out by modifying the equation for the scalar Green function. Electromagnetism is considered as direct particle interaction which is known to be equivalent to field electrodynamics from the viewpoint of experimentally observable results. The resulting generalized theory reduces to general relativity (GR) and to conventional electrodynamics in Minkowski space in the corresponding limiting cases. In the general case electromagnetism and gravitation turn out to be connected with each other in a nontrivial way which is of interest for further investigation.
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- F. Hoyle and J. V. Narlikar, A new theory of gravitation, Proc. Roy. Soc. A 282, 191 (1964).
- F. Hoyle and J. V. Narlikar A conformal theory of gravitation, Proc. Roy. Soc. A 294, 138 (1966).
- J. V. Narlikar, Action at a distance and cosmology: a historical perspective, Annu. Rev. Astron. Astrophys. 41, 169 (2003).
- Yu. S. Vladimirov and M. Yu. Romashka, Mach's principle in the Hoyle-Narlikar theory and in the unary relational approach. Part I, Vestnik RUDN, ser. Mathematics, Informatics, Physics, No. 1, 121 (2011).
- Yu. S. Vladimirov and M. Yu. Romashka, Mach's principle in the Hoyle-Narlikar theory and in the unary relational approach. Part II, Vestnik RUDN, ser. Mathematics, Informatics, Physics, No. 3, 119 (2011).
- J. A. Wheeler and R. P. Feynman, Classical electrodynamics in terms of direct interparticle action, Rev. Mod. Phys. 24, 425 (1949).
- J. A. Wheeler and R. P. Feynman Interaction with the absorber as the mechanism of radiation, Rev. Mod. Phys. 17, 157 (1945).
- F. Hoyle and J. V. Narlikar, Time-symmetric electrodynamics and the arrow of time in cosmology, Proc. Roy. Soc. A 277, 1 (1963).
- J. L. Synge, Relativity: the General Theory (Amsterdam: North-Holland, 1960).
- J. V. Narlikar Stress-energy tensors in the theories of direct interparticle action, J. Phys. A 7, 1274 (1974).
- P. A. M. Dirac, Classical theory of radiating electrons, Proc. Roy. Soc. A 167, 148 (1938).
- B. S. DeWitt and R.W. Brehme, Radiation damping in a gravitational field, Ann. Phys. 9, 220 (1960).
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