# Maxwell's theory on a post-Riemannian spacetime and the equivalence principle

@article{Puntigam1996MaxwellsTO, title={Maxwell's theory on a post-Riemannian spacetime and the equivalence principle}, author={Roland A. Puntigam and Claus Lammerzahl and Friedrich W. Hehl}, journal={Classical and Quantum Gravity}, year={1996}, volume={14}, pages={1347-1356} }

The form of Maxwell's theory is well known in the framework of general relativity, a fact that is related to the applicability of the principle of equivalence to electromagnetic phenomena. We pose the question whether this form changes if torsion and/or non-metricity fields are allowed for in spacetime. Starting from the conservation laws of electric charge and magnetic flux, we recognize that the Maxwell equations themselves remain the same, but the constitutive law must depend on the metric…

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## References

SHOWING 1-10 OF 66 REFERENCES

Black holes with Weyl charge and non-Riemannian waves

- Physics
- 1995

A simple modification to Einstein's theory of gravity in terms of a non-Riemannian connection is examined. A new tensor-variational approach yields field equations that possess a covariance similar…

The Use of Computer Algebra in Maxwell's Theory

- Physics
- 1995

We present a small computer algebra program for use in Maxwell's theory. The Maxwell equations and the energy-momentum current of the electromagnetic field are formulated in the language of exterior…

Analysis of nonmetric theories of gravity. I. Electromagnetism

- Geology
- 1983

In this article we are concerned with an analysis of nonmetric theories of gravity, and, in particular, with an analysis of a class of theories called metric-affine theories of gravity (MATG's). The…

An exact solution of the metric-affine gauge theory with dilation, shear, and spin charges

- Physics
- 1996

Non-Riemannian gravitational interactions

- Mathematics
- 1996

Recent developments in theories of non-Riemannian gravitational interactions are outlined. The question of the motion of a fluid in the presence of torsion and metric gradient fields is approached in…

Gauge invariance, semiminimal coupling, and propagating torsion

- Physics
- 1981

A dynamical theory of torsion is proposed in which the electromagnetic potential is dispensed from minimal coupling, and a ''semiminimal'' photon-torsion coupling is introduced and physically…

On the equivalence principle in quantum theory

- Physics
- 1996

The role of the equivalence principle in the context of non-relativistic quantum mechanics and matter wave interferometry, especially atom beam interferometry, will be discussed. A generalised form…

Quantum field theory

- Physics
- 1956

This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian…