Clifford Algebra of Two-Forms, Conformal Structures and Field Equations

1992/10/05 by Ingemar Bengtsson, Bengtsson, Ingemar
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9210001

7 pages

arxiv created 1992/10/05 · arxiv updated 2009/11/30

Abstract

I review the equivalence between duality operators on two-forms and conformal structures in four dimensions, from a Clifford algebra point of view (due to Urbantke and Harnett). I also review an application, which leads to a set of "neighbours" of Einstein's equations. An attempt to formulate reality conditions for the "neighbours" is discussed.

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