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Zbl 0976.83012
Cattani, Carlo; Laserra, Ettore
Discrete electromagnetic action on a gravitational simplicial net.
(English)
[J] J. Interdiscip. Math. 3, No.2-3, 123-132 (2000). ISSN 0972-0502; ISSN 2169-012X/e

Summary: We discuss the concept of volume in a space-time manifold and its relationship with simplicial metric and curvature on a space-time lattice. As a consequence we will derive the action integral of an electromagnetic field coupled with gravity and the conservation law for the electromagnetic field.
MSC 2000:
*83C27 Discrete methods in general relativity
53Z05 Appl. of differential geometry to physics
83C50 Electromagnetic fields

Keywords: simplicial metric; space-time lattice; electromagnetic field

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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