MG13 - Talk detail |
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Participant |
Goulart, Érico | |||||||
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Institution |
ICRA/CBPF - Dr. Xavier Sigaud, 150 - Urca - Rio de Janeiro - Rio de Janeiro - Brazil | |||||||
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Session |
GT3 |
Accepted |
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Order |
Time |
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Talk |
Oral abstract |
Title |
An unexpected invariance of Maxwell's field equations | |||||
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Abstract |
I will discuss about an unnoticed invariance of the equations of classical electrodynamics which is related to the notion of effective metrics. It will be shown that Maxwell's equations are invariant under specific redefinitions of the geometry involving the background metric and the electromagnetic bivector itself. In other words, if we know a particular solution of the equations in a given metric, the symmetry guarantees that it is also a solution in a non-equivalent manifold endowed with a curved effective metric. The energy-momentum tensor of the background field plays a crucial role in the recipe to obtain the effective geometry, which admits conformal invariance as a particular realization. We conclude with some issues related to the equations of GR. |
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