Electromagnetic mass models in general relativity: Lane-Emden-type models

Details Electromagnetic mass models in general relativity: Lane-Emden-type models Electromagnetic mass models in general relativity: Lane-Emden-type models

Aug 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..34.1205t&link_type=abstract

Physical Review D (Particles and Fields), Volume 34, Issue 4, 15 August 1986, pp.1205-1207

Physics

12

Exact Solutions

Scientific paper

Imposing an equation of state ρ+p=0, ρ>0 (``false vacuum'') on a static spherically symmetric charged perfect-fluid distribution, various electromagnetic mass models are derived. It is shown that the modified field equations suggested by Einstein to study the equilibrium structure of an ``electron'' form a part of the field equations considered by us in this paper. Assuming an implicit relation among the unknown physical parameters, viz., the pressure p, charge density σ, and the electromagnetic potential Φ, it is shown that Φ satisfies the well-known Lane-Emden equation. Electromagnetic mass models corresponding to the exact solutions of the Lane-Emden equation are obtained. The radii of some of the models are compared with the ``classical electron radius.''

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