Zel’dovich states with very small mass and charge in nonlinear electrodynamics coupled to gravity
It is shown that, in nonlinear (in particular, Born-Infeld) electrodynamics in the framework of general relativity, there exist “weakly singular” configurations such that (i) the proper mass M is finite despite divergences of the energy density, (ii) the electric charge q and the Schwarzschild mass m ∼ q can be made as small as one likes, and (iii) all field and energy distributions are concentrated in the core region. This region has an almost zero surface area but a finite longitudinal size L = 2M. Such configurations can be viewed as a new version of a classical analogue of an elementary particle.
KeywordsCore Region Small Mass Gravitational Mass Nonlinear Electrodynamic Longitudinal Size
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- 2.K. A. Bronnikov and G. N. Shikin, in: Classical and Quantum Theory of Gravity (Trudy IF AN BSSR, Minsk, 1976), p. 88 (in Russian).Google Scholar
- 7.G. N. Shikin, Foundations of Soliton Theory in General Relativity (Moscow, URSS, 1995) (in Russian).Google Scholar
- 10.Ya. B. Zel’dovich. Zh. Eksp. Teor. Fiz. 42, 641 (1962) [Soviet Phys. JETP 15, 446 (1962)].Google Scholar
- 14.M. A. Markov and V. P. Frolov, Teor.Mat. Fiz. 13, 41 (1972) [Theor.Math. Phys. 13, 965, 1972].Google Scholar
- 18.V. Dzhunushaliev, Nonperturbative Quantum Corrections, ARXiv:1002.0180.Google Scholar