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19 April 2024
 
  » arxiv » physics/0404101

 Article overview


To consider the electromagnetic field as fundamental, and the metric only as a subsidiary field
Friedrich W. Hehl ; Yuri N. Obukhov ;
Date 21 Apr 2004
Subject Classical Physics | physics.class-ph gr-qc hep-th
AbstractIn accordance with an old suggestion of Asher Peres (1962), we consider the electromagnetic field as fundamental and the metric as a subsidiary field. In following up this thought, we formulate Maxwell’s theory in a diffeomorphism invariant and metric-independent way. The electromagnetic field is then given in terms of the excitation $H=(H,D)$ and the field strength $F=(E,B)$. Additionally, a local and linear ``spacetime relation’’ is assumed between $H$ and $F$, namely $H sim kappa F$, with the constitutive tensor $kappa$. The propagation is studied of electromagnetic wave fronts (surfaces of discontinuity) with a method of Hadamard. We find a generalized Fresnel equation that is quartic in the wave covector of the wave front. We discuss under which conditions the waves propagate along the light cone. Thereby we derive the metric of spacetime, up to a conformal factor, by purely electromagnetic methods.
Source arXiv, physics/0404101
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