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Variational principle for theP(4) affine theory of gravitation and electromagnetism

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Abstract

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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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

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Keywords

  • Field Theory
  • Elementary Particle
  • Quantum Field Theory
  • Field Equation
  • Variational Principle