Holonomy and Projective Symmetry in Spacetimes

Graham Stanley Hall, D. P. Lonie

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

It is shown using a spacetime curvature classification and decomposition that for certain holonomy types of a spacetime, proper projective vector fields cannot exist. Existence is confirmed, by example, for the remaining holonomy types. In all except the most general holonomy type, a local uniqueness theorem for proper projective symmetry is established.

Original languageEnglish
Pages (from-to)4549-4556
Number of pages7
JournalClassical and Quantum Gravity
Volume21
DOIs
Publication statusPublished - 2004

Keywords

  • GENERAL-RELATIVITY
  • CURVATURE COLLINEATIONS
  • SPACES

Cite this

Holonomy and Projective Symmetry in Spacetimes. / Hall, Graham Stanley; Lonie, D. P.

In: Classical and Quantum Gravity, Vol. 21, 2004, p. 4549-4556.

Research output: Contribution to journalArticle

Hall, Graham Stanley ; Lonie, D. P. / Holonomy and Projective Symmetry in Spacetimes. In: Classical and Quantum Gravity. 2004 ; Vol. 21. pp. 4549-4556.
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