Light propagation in generally covariant electrodynamics and the Fresnel equation

Details Light propagation in generally covariant electrodynamics and the Fresnel equation Light propagation in generally covariant electrodynamics and the Fresnel equation

2002-03-28

arxiv.org/abs/gr-qc/0203105v1

Int.J.Mod.Phys. A17 (2002) 2695-2700

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, uses ws-ijmpa.cls. Invited talk given at Journees Relativistes, University College Dublin, Sept. 2001. Will appear in

Scientific paper

10.1142/S0217751X0201162X

Within the framework of generally covariant (pre-metric) electrodynamics, we specify a local vacuum spacetime relation between the excitation $H=({\cal D},{\cal H})$ and the field strength $F=(E,B)$. We study the propagation of electromagnetic waves in such a spacetime by Hadamard's method and arrive, with the constitutive tensor density $\kappa\sim\partial H/\partial F$, at a Fresnel equation which is algebraic of 4th order in the wave covector. We determine how the different pieces of $\kappa$, in particular the axion and the skewon pieces, affect the propagation of light.

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