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FIZIKA B 19 (2010) 3, 125-134
 
CLASSICAL ELECTRON MODEL WITH NON-STATIC CONFORMAL SYMMETRY
I. RADINSCHIa, F. RAHAMANb, M. KALAMc and K. CHAKRABORTYd
aDepartment of Physics, "Gh. Asachi" Technical University, Iasi, 700050, Romania
bDepartment of Mathematics, Jadavpur University, Kolkata-700 032, India
cDepartment of Physics, Aliah University, Sector-V, Salt Lake, Kolkata - 700091, India
dDepartment of Physics, Govt. Training College, Hooghly - 712103, West Bengal, India
Electronic addresses: radinschi@yahoo.com,
farook_rahaman@yahoo.com,
mehedikalam@yahoo.co.in,
kchakraborty28@yahoo.com
Received 21 December 2009; Revised manuscript received 9 October 2010
Accepted 15 December 2010 Online 24 January 2011
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.
PACS numbers: 04.20.-q, 02.40.-k, 04.20.Jb
UDC 539.124
Keywords: Electron, non-static conformal symmetry, Einstein-Maxwell equations
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