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

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

2010-03-11

arxiv.org/abs/1003.2324v2

Gravitat. and Cosmology 16 (2010) 168

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages. 1 reference added. To appear in Grav. Cosm.

Scientific paper

It is shown that in non-linear electrodynamics (in particular, Born-Infeld one) in the framework of general relativity there exist "weakly singular" configurations such that (i) the proper mass M is finite in spite of divergences of the energy density, (ii) the electric charge q and Schwarzschild mass m ~ q can be made as small as one likes, (iv) 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.

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