Black holes and the classical model of a particle in Einstein non-linear electrodynamics theory

Details Black holes and the classical model of a particle in Einstein non-linear electrodynamics theory Black holes and the classical model of a particle in Einstein non-linear electrodynamics theory

2008-12-04

arxiv.org/abs/0812.0989v4

Physics Letters B 678 (2009) 407

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figure, To appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2009.06.049

Modified by a logarithmic term, the non-linear electrodynamics (NED) model of the Born-Infeld (BI) action is reconsidered. Unlike the standard BI action, this choice provides interesting integrals of the Einstein-NED equations. It is found that the spherical matching process for a regular black hole entails indispensable surface stresses that vanish only for a specific value of the BI parameter. This solution represents a classical model of an elementary particle whose radius coincides with the horizon. In flat space time, a charged particle becomes a conducting shell with a radius proportional to the BI parameter.

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