Zel’dovich states with very small mass and charge in nonlinear electrodynamics coupled to gravity
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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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