[Fall 1998
Colloquiums]
[Department Homepage]
DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309
Joel Smoller
Department of Mathematics
University of Michigan, Ann Arbor
Particle-Like Solutions of the
Einstein-Dirac-Maxwell Equations
Abstract
We consider the coupled Einstein-Dirac-Maxwell equations for a static,
spherically symmetric system of two fermions in a singlet spinor state.
Soliton-like solutions are constructed numerically. The stability properties
are discussed for different values of the electromagnetic coupling constant.
We find solutions even when the electromagnetic coupling constant is so
strong that the total interaction is repulsive in the Newtonian limit. Our
solutions are regular and well-behaved; this shows that the combined electromagnetic
and gravitational self-interaction of the Dirac particles is finite.
372 Science and Engineering Building
Tuesday, October 6, 1998
3:004:00 P.M.
Refreshments at 2:303:00 P.M. in Room 368, Science and Engineering Building