Physics – Classical Physics
Scientific paper
2004-11-03
Phys.Lett. A334 (2005) 249-259
Physics
Classical Physics
15 pages, latex
Scientific paper
10.1016/j.physleta.2004.11.038
The Maxwell equations are formulated in a generally covariant and metric-free way in 1+3 and subsequently in 4 dimensions. For this purpose, we use the excitations $\cal D$, $\cal H$ and the field strengths $E,B$. A local and linear constitutive law between excitations and field strengths is assumed, with a constitutive tensor $\chi^{ijkl}=-\chi^{jikl}=-\chi^{ijlk}$ of 36 components. The properties of this tensor are discussed. In particular, we address the validity of the Post constraint, a subject that is very much under discussion. In this connection, the Tellegen gyrator, the axion field, and the ``perfect electromagnetic conductor'' of Lindell & Sihvola are compared with each other.
Hehl Friedrich W.
~Obukhov Yuri N.
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