Extensible gravitational Dirac models of the electron

Details Extensible gravitational Dirac models of the electron Extensible gravitational Dirac models of the electron

Jun 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cqgra..28l5005d&link_type=abstract

Classical and Quantum Gravity, Volume 28, Issue 12, pp. 125005 (2011).

Physics

Scientific paper

Various gravitational extensions of Dirac's extensible model of the electron are discussed. First we consider two different models involving a thin dynamical brane which either (i) matches two Reissner-Nordström regimes, or (ii) matches an exterior Reissner-Nordström with an interior de Sitter core. Positive surface tension and a novel vector field localized on the brane (necessarily in a magnetic monopole-like configuration) serve as a source for the electrically charged configuration in the bulk. Underlying the equations of motion of the spherically symmetric brane is a variation principle originally introduced by Dirac in the case of a non-dynamical flat background. The gravitational extension of Dirac's variation prescription is crucial for our analysis; its major effect is to induce an additional contribution to the brane energy-momentum tensor. As a result, the effective potential which governs the evolution of the bubble's radius exhibits a local minimum, and furthermore, the set of parameters involved allows us to avoid the so-called classical radius of the electron problem. Finally, we demonstrate that our main conclusions stay valid in the Kaluza-Klein generalization, where a Z2 symmetric matching of two five-dimensional Chodos-Detweiler vacuum solutions is performed in the Dirac style.

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