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Bivectors in Newman-Penrose formalism in General Relativity -- from electromagnetism to Weyl curvature tensor

2021/07/23 by Wytler Cordeiro dos Santos, Santos, Wytler Cordeiro dos
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #General Physics (physics.gen-ph) #Quantum and Classical Electrodynamics #Relativity and Gravitational Theory

paper · pdf · doi:10.48550/arxiv.2108.07167

openalex publication_date 2021/07/23 · openalex created_date 2021/08/30 · openalex updated_date 2026/07/28

Abstract

The use of the bivectors in the General Relativity with Newman-Penrose formalism is important to the description of the exact solutions of the Einstein's field equations. This review is devoted to introduce the basic ideas with calculation details of the bivectors in Newman-Penrose formalism through conversion of the complex self-dual electromagnetic field from orthornormal Minkowski basis to bivectors in the complex null tetrad basis. Furthermore, in this context, it is obtained the complex coefficients of the Weyl tensor in Newman-Penrose formalism.

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