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Title: Stability of the lepton bag model based on the Kerr–Newman solution

We show that the lepton bag model considered in our previous paper [10], generating the external gravitational and electromagnetic fields of the Kerr–Newman (KN) solution, is supersymmetric and represents a BPS-saturated soliton interpolating between the internal vacuum state and the external KN solution. We obtain Bogomolnyi equations for this phase transition and show that the Bogomolnyi bound determines all important features of this bag model, including its stable shape. In particular, for the stationary KN solution, the BPS bound provides stability of the ellipsoidal form of the bag and the formation of the ring–string structure at its border, while for the periodic electromagnetic excitations of the KN solution, the BPS bound controls the deformation of the surface of the bag, reproducing the known flexibility of bag models.
Authors:
 [1]
  1. Russian Academy of Sciences, Nuclear Safety Institute (Russian Federation)
Publication Date:
OSTI Identifier:
22472000
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 121; Journal Issue: 5; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTROMAGNETIC FIELDS; EXCITATION; GRAVITATIONAL FIELDS; KERR METRIC; LEPTONS; MATHEMATICAL SOLUTIONS; PERIODICITY; SOLITONS; STRING MODELS; SUPERSYMMETRY; VACUUM STATES