Classification of Electromagnetic Fields
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High Quality Content by WIKIPEDIA articles! In differential geometry and theoretical physics, the classification of electromagnetic fields is a pointwise classification of bivectors at each point of a Lorentzian manifold. It is used in the study of solutions of Maxwell's equations and has applications in Einstein's theory of general relativity, but the theorem is a purely mathematical one. A (real) bivector field may be viewed, at any given event in a spacetime, as a skew-symmetric linear operator on a four-dimensional (real) vector space, ra Fabrb. Here, the vector space is the tangent space ...
High Quality Content by WIKIPEDIA articles! In differential geometry and theoretical physics, the classification of electromagnetic fields is a pointwise classification of bivectors at each point of a Lorentzian manifold. It is used in the study of solutions of Maxwell's equations and has applications in Einstein's theory of general relativity, but the theorem is a purely mathematical one. A (real) bivector field may be viewed, at any given event in a spacetime, as a skew-symmetric linear operator on a four-dimensional (real) vector space, ra Fabrb. Here, the vector space is the tangent space at the given event, and thus isomorphic as a (real) inner product space to E1,3. That is, it has the same notion of vector magnitude and angle (or inner product) as Minkowski spacetime.
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