G S Hall and D P Lonie 2004 Class. Quantum Grav. 21 4549 doi:10.1088/0264-9381/21/19/004
G S Hall and D P Lonie
Show affiliationsIt 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.
Issue 19 (7 October 2004)
Received 10 June 2004, in final form 17 August 2004
Published 14 September 2004
G S Hall and D P Lonie 2004 Class. Quantum Grav. 21 4549
A M Uranga 2009 Class. Quantum Grav. 26 220301
C Grimani 2009 Class. Quantum Grav. 26 235009
Suresh K Sampath et al 1999 J. Phys.: Condens. Matter 11 3635
Pan Hui and Zhu Jia-Lin 2003 J. Phys.: Condens. Matter 15 7287
Alessia Gualandris and David Merritt 2008 ApJ 678 780
F Acernese et al 2007 Class. Quantum Grav. 24 S415
Sergey Stolbov et al 2009 J. Phys.: Condens. Matter 21 474226
A Ghobeity et al 2007 J. Micromech. Microeng. 17 2175
Zai-Qiao Bai and Wei-Mou Zheng 2003 J. Phys. A: Math. Gen. 36 2737