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On Maxwell's covariant equations in matter

✍ Scribed by Gérard A. Maugin

Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
919 KB
Volume
305
Category
Article
ISSN
0016-0032

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✦ Synopsis

This paper first presents a fully covariant formulation of Maxwell's equations in matter in the general relativistic framework. Although covariant, this formulation uses only essentially spatial four-vector fields and places in evidence the kinematical couplings (vorticity) and inertial effects (curvature of worldlines) which appear in Maxwell's equations for matter. Using a scaling of these equations enables one to construct covariant

"quasi-electrostatic" and "quasi-magnetostatic" approximations. The former is used to establish the equations that govern piezoelectric gravitational-wave detectors. Furthermore, if a pyroelectric crystal is used in this type of device, then Gauss' law is shown to be modified and contains a contribution due to the incident gravitational perturbation.

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