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Two special classes of spacetimes admitting a non-null valence 2 Killing spinor

Norbert Van den Bergh UGent (2010) CLASSICAL AND QUANTUM GRAVITY. 27(1).
abstract
Non-conformally flat spacetimes admitting a non-null Killing spinor of valence 2 are investigated in the Geroch-Held-Penrose formalism. Contrary to popular belief these spacetimes are not all explicitly known. It is shown that the standard construction hinges on the tacit assumption that certain integrability conditions hold, implying two algebraic relations, KS1 and KS2, for the spin coefficients and the components of the Ricci spinor. An exhaustive list of (conformal classes of) spacetimes, in which either KS1 or KS2 are violated, is presented. The resulting spacetimes are each other's Sachs transforms, in general admit no Killing vectors and are characterized by a single arbitrary function.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
TIMES, INVERTIBILITY, CONGRUENCES, FIELD-EQUATIONS, COSMOLOGICAL CONSTANT, ORTHOGONAL TRANSITIVITY, YANO TENSORS, NULL GEODESIC SEPARABILITY, general relativity, Killing spinors
journal title
CLASSICAL AND QUANTUM GRAVITY
Class. Quantum Gravity
volume
27
issue
1
Web of Science type
Article
Web of Science id
000272806900005
JCR category
PHYSICS, MULTIDISCIPLINARY
JCR impact factor
3.098 (2010)
JCR rank
13/79 (2010)
JCR quartile
1 (2010)
ISSN
0264-9381
DOI
10.1088/0264-9381/27/1/015004
language
English
UGent publication?
yes
classification
A1
additional info
article no. 015004 (11 p.)
copyright statement
I have transferred the copyright for this publication to the publisher
id
839578
handle
http://hdl.handle.net/1854/LU-839578
date created
2010-01-26 13:49:29
date last changed
2010-02-02 16:57:19
@article{839578,
  abstract     = {Non-conformally flat spacetimes admitting a non-null Killing spinor of valence 2 are investigated in the Geroch-Held-Penrose formalism. Contrary to popular belief these spacetimes are not all explicitly known. It is shown that the standard construction hinges on the tacit assumption that certain integrability conditions hold, implying two algebraic relations, KS1 and KS2, for the spin coefficients and the components of the Ricci spinor. An exhaustive list of (conformal classes of) spacetimes, in which either KS1 or KS2 are violated, is presented. The resulting spacetimes are each other's Sachs transforms, in general admit no Killing vectors and are characterized by a single arbitrary function.},
  author       = {Van den Bergh, Norbert},
  issn         = {0264-9381},
  journal      = {CLASSICAL AND QUANTUM GRAVITY},
  keyword      = {TIMES,INVERTIBILITY,CONGRUENCES,FIELD-EQUATIONS,COSMOLOGICAL CONSTANT,ORTHOGONAL TRANSITIVITY,YANO TENSORS,NULL GEODESIC SEPARABILITY,general relativity,Killing spinors},
  language     = {eng},
  number       = {1},
  title        = {Two special classes of spacetimes admitting a non-null valence 2 Killing spinor},
  url          = {http://dx.doi.org/10.1088/0264-9381/27/1/015004},
  volume       = {27},
  year         = {2010},
}

Chicago
Van den Bergh, Norbert. 2010. “Two Special Classes of Spacetimes Admitting a Non-null Valence 2 Killing Spinor.” Classical and Quantum Gravity 27 (1).
APA
Van den Bergh, N. (2010). Two special classes of spacetimes admitting a non-null valence 2 Killing spinor. CLASSICAL AND QUANTUM GRAVITY, 27(1).
Vancouver
1.
Van den Bergh N. Two special classes of spacetimes admitting a non-null valence 2 Killing spinor. CLASSICAL AND QUANTUM GRAVITY. 2010;27(1).
MLA
Van den Bergh, Norbert. “Two Special Classes of Spacetimes Admitting a Non-null Valence 2 Killing Spinor.” CLASSICAL AND QUANTUM GRAVITY 27.1 (2010): n. pag. Print.