Holonomy and Projective Symmetry in Spacetimes

Graham Stanley Hall; D. P. Lonie

doi:10.1088/0264-9381/21/19/004

Holonomy and Projective Symmetry in Spacetimes

Graham Stanley Hall, D. P. Lonie

Mathematical Science

Research output: Contribution to journal › Article › peer-review

10 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 language	English
Pages (from-to)	4549-4556
Number of pages	7
Journal	Classical and Quantum Gravity
Volume	21
DOIs	https://doi.org/10.1088/0264-9381/21/19/004
Publication status	Published - 2004

Keywords

GENERAL-RELATIVITY
CURVATURE COLLINEATIONS
SPACES

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10.1088/0264-9381/21/19/004

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title = "Holonomy and Projective Symmetry in Spacetimes",

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.",

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T1 - Holonomy and Projective Symmetry in Spacetimes

AU - Hall, Graham Stanley

AU - Lonie, D. P.

PY - 2004

Y1 - 2004

N2 - 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.

AB - 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.

KW - GENERAL-RELATIVITY

KW - CURVATURE COLLINEATIONS

KW - SPACES

U2 - 10.1088/0264-9381/21/19/004

DO - 10.1088/0264-9381/21/19/004

M3 - Article

SN - 0264-9381

VL - 21

SP - 4549

EP - 4556

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

ER -

Holonomy and Projective Symmetry in Spacetimes

Abstract

Keywords

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