Summary
It is shown that in a space-time with vector and axial-vector torsion, the field equations for torsion are equivalent to those of electromagnetism with magnetic monopoles. It is also shown that in the limit that only one kind of charge exists, then the equation of motion is given by the usual Lorentz form, and the entire theory reduces to exactly that of the Einstein-Maxwell theory of electro-magnetism and gravitation. However, for the more general case with two kinds of charge it is shown that the different charges do not interact. Finally, an exact Reissner-Nordstrom-type solution to the field equations is presented.
Similar content being viewed by others
References
P. Dirac:Phys. Rev.,74, 817 (1948).
P. Dirac:Proc. R. Soc. London, Ser. A,133, 60 (1931).
P. Sanders:Contemp. Phys.,7, 419 (1966).
G. Wentzel:Prog. Theor. Phys. Suppl.,37, 38, 163 (1966).
N. Cabibbo andE. Ferrari:Nuovo Cimenta,23, 1147 (1962).
G.’t Hooft:Nucl. Phys. B,79, 276 (1974).
M. Blagojević andP. Senjanović:Phys. Rep.,157, 234 (1988).
A. Einstein:The Meaning of Relativity, 4th edition (Princeton University Press, Princeton, N.J., 1953), Appendix II.
H. Weyl:Space Time and Matter (Dover, New York, N.Y., 1922).
E. Schrödinger:Proc. R. Ir. Acad. Sect. A,49, 43 (1943).
R. Hammond:Class. Quantum. Grav.,6, 195 (1989). For the case that the quantum mass is not zero see ref. [12].
R. Hammond:Gen. Rel. Grav.,20, 813 (1988).
J. Schouten:Ricci Calculus (Springer-Verlag, Berlin, 1954).
K. Hayashi andT. Shirafuji:Prog. Theor. Phys.,64, 866 (1980), which is the first in a series of papers.
R. Hammond:J. Math. Phys.,31, 2221 (1990).
F. Rohrlich:Phys. Rev.,150, 1104 (1966).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Hammond, R.T. Geometric foundation for monopoles. Il Nuovo Cimento B 108, 725–738 (1993). https://doi.org/10.1007/BF02741871
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02741871