Complex geometry and pre-metric electromagnetism
| dc.creator | Delphenich, D. H. | |
| dc.date | 2004-12-10 | |
| dc.date.accessioned | 2026-07-07T03:29:15Z | |
| dc.date.available | 2026-07-07T03:29:15Z | |
| dc.description | The intimate link between complex geometry and the problem of the pre-metric formulation of electromagnetism is explored. In particular, the relationship between 3+1 decompositions of R4 and the decompositions of the vector space of bivectors over R4 into real and imaginary subspaces relative to a choice of complex structure is emphasized. The role of the various scalar products on the space of bivectors that are defined in terms of a volume element on R4 and a complex structure on the space of bivectors that makes it C-linear isomorphic to C3 is discussed in the context of formulation of a theory of electromagnetism in which the Lorentzian metric on spacetime follows as a consequence of the existence of electromagnetic waves, not a prior assumption. | |
| dc.description | 46 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0412048 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0412048 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35143 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Complex geometry and pre-metric electromagnetism | |
| dc.type | text |