A solution of the Weyl-Lanczos equations for the Schwarzschild space-time
type: Item
instance of: scholarly article
title: A solution of the Weyl-Lanczos equations for the Schwarzschild space-time
zbMATH Open document ID: 1053.83005
published in: General Relativity and Gravitation
publication date: 2004-08-19T00:00:00Z
review text: The Lanczos tensor \(H_{abc}\) can be obtained from the curvature tensor (Weyl conformal tensor) on every four dimensional (pseudo-) Riemannian manifold. It has been established that \(H_{abc}\) corresponds to a four-valent spinor \(H_{ABCC^\prime}\), called the Lanczos spinor. Then \(8\) Lanczos coefficients can be obtained from this spinor. A spinor \(H_{ABCC^\prime}\) on the manifold \(M\) is a Lanczos spinor if and only if the Weyl-Lanczos equations are fulfilled. The author studies the spin coefficient form of the Weyl-Lanczos equations for the Schwarzschild space-time. This investigation has given rise to a new solution by introducing a new technique.
Mathematics Subject Classification ID: 83C15
Mathematics Subject Classification ID: 53B20
Mathematics Subject Classification ID: 83C57
zbMATH DE Number: 2093382
zbMATH Keywords: Lanczos tensor
zbMATH Keywords: Schwarzschild solution
zbMATH Keywords: Weyl tensor
zbMATH Keywords: spinor formulation
zbMATH Keywords: Weyl-Lanczos equations
zbMATH Keywords: Schwarzschild space-time
zbMATH Keywords: Lanczos coefficients
author: P. J. O'Donnell
reviewed by: Vasile Oproiu
MaRDI profile type: Publication
full work available at URL: b:gerg.0000022577.11259.e0
OpenAlex ID: W2163008562
DOI: 10.1023/B:GERG.0000022577.11259.E0
description: scientific article; zbMATH DE number 2093382