A sufficient condition for the linearization stability of \(N=1\) supergravity: A preliminary report
type: Item
instance of: scholarly article
title: A sufficient condition for the linearization stability of \(N=1\) supergravity: A preliminary report
zbMATH Open document ID: 0547.53043
DOI: 10.1016/0003-4916(84)90243-4
author: D. Bao
published in: Annals of Physics
publication date: 1984-01-01T00:00:00Z
review text: This paper outlines how the methods developed by \textit{A. Fischer} and \textit{J. Marsden} [Isolated gravitating systems in general relativity. On pp. 322-395 of J. Ehlers (ed.), Proc. int. school phys. Enrico Fermi Course XVII, North-Holland, Amsterdam (1979)] and \textit{A. Fischer, J. Marsden} and \textit{V. Moncrief} [Ann. Inst. Henri Poincaré, Nouv. Sér. Sect. A 33, 147-194 (1980; Zbl 0454.53044)] for general relativity are being used to show that classical \(N=1\) supergravity, as a non-linear system of partial differential equations, is linearization stable at any solution which lacks Killing symmetry (of both the vierbein and the gravitino), and hence the solution space is locally a manifold there. It is assumed throughout that the underlying spacetime is topologically the cartesian product of the real line with a compact, spacelike, boundaryless three-dimensional Cauchy surface.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83D05
Mathematics Subject Classification ID: 58D15
zbMATH DE Number: 3872221
zbMATH Keywords: supergravity
zbMATH Keywords: spacetime
zbMATH Keywords: Cauchy surface
MaRDI profile type: Publication
full work available at URL: 0003-4916(84)90243-4
OpenAlex ID: W1992238747
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description: scientific article; zbMATH DE number 3872221