AT5 - Constructive gravity |
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Speaker |
Obukhov, Yuri |
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| Talk Title |
Premetric approach in gravity and electrodynamics |
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Abstract |
We will discuss the basics of the premetric approach, including the essential details of the formalism and some of its beautiful consequences. We demonstrate how the classical electrodynamics can be developed without a metric in a quite straightforward way: Maxwell's equations, together with the general response law for material media, admit a consistent premetric formulation. Furthermore, we show that in relativistic theories of gravity, the premetric program leads to a better understanding of the interdependence between topological, affine, and metric concepts, that is, between those concepts related to the surgery of a manifold, to parallel transfer, and to spatio-temporal distances, respectively. |
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