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Discrete electromagnetic action on a gravitational simplicial net. (English) Zbl 0976.83012
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:
83C27Lattice gravity, Regge calculus and other discrete methods in general relativity
53Z05Applications of differential geometry to physics
83C50Electromagnetic fields in general relativity