Equivalence principle and electromagnetic field: no birefringence,no dilaton,and no axion |
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Authors: | Friedrich W Hehl Yuri N Obukhov |
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Institution: | 1.Institute for Theoretical Physics,University of Cologne,K?ln,Germany;2.Department of Physics and Astronomy,University of Missouri-Columbia,Columbia,USA;3.Department of Theoretical Physics,Moscow State University,Moscow,Russia |
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Abstract: | The coupling of the electromagnetic field to gravity is discussed. In the premetric axiomatic approach based on the experimentally
well established conservation laws of electric charge and magnetic flux, the Maxwell equations are the same irrespective of
the presence or absence of gravity. In this sense, one can say that the charge “substratum” and the flux “substratum” are
not influenced by the gravitational field directly. However, the interrelation between these fundamental substrata, formalized
as the spacetime relation
H = H(F) between the 2-forms of the electromagnetic excitation H and the electromagnetic field strength F, is affected by gravity. Thus the validity of the equivalence principle for electromagnetism depends on the form of the spacetime
relation. We discuss the nonlocal and local linear constitutive relations and demonstrate that the spacetime metric can be
accompanied also by skewon, dilaton, and axion fields. All these premetric companions of the metric may eventually lead to
a violation of the equivalence principle. |
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Keywords: | Equivalence principle Classical electrodynamics General relativity Skewon field Dilaton field Axion field |
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