Original scientific paper
Classical electron model with non-static conformal symmetry
I. Radinschi
; Department of Physics, "Gh. Asachi" Technical University, Iasi, 700050, Romania
F. Rahaman
; Department of Mathematics, Jadavpur University, Kolkata-700 032, India
M. Kalam
; Department of Physics, Aliah University, Sector-V, Salt Lake, Kolkata - 700091, India
K. Chakraborty
; Department of Physics, Govt. Training College, Hooghly - 712103, West Bengal, India
Abstract
Lorentz proposed a classical model of electron in which it was assumed the electron to have only `electromagnetic mass'. We modelled electron as a charged anisotropic perfect fluid sphere admitting non-static conformal symmetry. We find that the pressure and density fail to be regular at the origin, but the effective gravitational mass is regular everywhere and vanishes in the limit r→0, i.e. it does not have the problem of singularity. Further, we have matched the interior metric with the exterior (Reissner-Nordström) metric and determine the values of the parameters k and r0 (occurring in the solutions) as functions of mass, charge and radius of the spherically-symmetric charged object, i.e. electron.
Keywords
Electron; non-static conformal symmetry; Einstein-Maxwell equations
Hrčak ID:
304600
URI
Publication date:
1.9.2010.
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