We propose a Lagrangian for theP(4) theory of gravitation and electromagnetism which is a straightforward generalization of the Einstein Lagrangian. A constrained Palatini variation of this Lagrangian yields the geometrical Einstein-Maxwell affine field equations. We show that these results can be extended easily to include both electric and magnetic charges. Finally, we consider conservation laws arising from the invariance properties of the Lagrangian.
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Atkins, W. M., Baker, W. K., and Davis, W. R. (1977).Physics Letters,61A, 363.
Cabibbo, N., and Ferrari, E. (1962).Nuovo Cimento,23, 1147.
Dodson, C. T. J., and Poston, T. (1977).Tensor Geometry, Pitman, London.
Kheyfets, A., and Norris, L. K. (1988).International Journal of Theoretical Physics,27, 159.
Kobayashi, S., and Nomizu, K. (1963).Foundations of Differential Geometry, Interscience, New York.
Kobe, D. H. (1983).American Journal of Physics,52, 354.
Lanczos, C. (1957).Review of Modern Physics,29, 337.
Misner, C. W., and Wheeler, J. A. (1957).Annals of Physics,2, 525.
Norris, L. K. (1985).Physical Review D,31, 3090.
Norris, L. K. (1991). On the affine connection structure of the charged symplectic 2-form,International Journal of Theoretical Physics, to appear.
Norris, L. K., Fulp, R. O., and Davis, W. R. (1980).Physics Letters,79A, 278.
Rainich, G. Y. (1925).Transactions of the American Mathematical Society,27, 106.
Ray, J. R. (1974).Nuovo Cimento B,25, 706.
Safko, J. L., and Elston, F. (1976).Journal of Mathematical Physics,17, 1531.
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Chilton, J.H., Norris, L.K. Variational principle for theP(4) affine theory of gravitation and electromagnetism. Int J Theor Phys 31, 1267–1282 (1992). https://doi.org/10.1007/BF00673927
- Field Theory
- Elementary Particle
- Quantum Field Theory
- Field Equation
- Variational Principle