Mathematics – Logic
Scientific paper
Oct 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999phrvd..60h4026j&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 60, Issue 8, 15 October 1999, id. 084026
Mathematics
Logic
1
Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields
Scientific paper
Some special solutions of the Einstein-Maxwell action with a non-negative cosmological constant and a very heavy point mass particle are obtained. The solutions correspond to the static spacetime of a locally constant curvature in its spatial part and a constant magnetic field of a magnetic monopole together with a deficit of angle at the location of the point mass. The quantum mechanics of a point particle in these spacetimes in the absence of an angular deficit are solved algebraically both relativistically and nonrelativistically. It is also shown that these two-dimensional Hamiltonians have the degeneracy group of GL(2,c) type and parasupersymmetry of arbitrary order or shape invariance, which originated from an SO(4,c) group.
Fakhri H.
Jafarizadeh Mohammad Ali
Moayedi S. K.
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