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Symmetries of the equations of pre-metric electromagnetism

2005/12/22 by D. H. Delphenich, Delphenich, David
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.gr-qc/0512126

openalex publication_date 2005/12/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The equations of pre-metric electromagnetism are summarized and then formulated as an exterior differential system on the total space of the bundle of 2-forms over the spacetime manifold. The Harrison-Estabrook method of computing the symmetries of the system is then applied, with the result that of the four possible formal algebras of infinitesimal symmetries, the most physically compelling one is the Lie algebra of infinitesimal projective transformations of real four-dimensional projective space.

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