Published December 7, 2004
| Version v1
Journal article
Vanishing scalar invariant spacetimes in higher dimensions
Creators
- 1. Department of Mathematics and Statistics, Dalhousie University, Halifax, NS B3H 3J5 (Canada)
- 2. Mathematical Institute, Academy of Sciences, Zitna 25, 115 67 Prague 1 (Czech Republic)
Description
We study manifolds with Lorentzian signature and prove that all scalar curvature invariants of all orders vanish in a higher dimensional Lorentzian spacetime if and only if there exists an aligned non-expanding, non-twisting, geodesic null direction along which the Riemann tensor has negative boost order
Availability note (English)
Available online at http://stacks.iop.org/0264-9381/21/5519/cqg4_23_014.pdf or at the Web site for the journal Classical and Quantum Gravity (ISSN 1361-6382) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0264-9381/21/5519/cqg4_23_014.pdf; http://www.iop.org/;
- DOI
- 10.1088/0264-9381/21/23/014;
- PII
- S0264-9381(04)86019-2;
Publishing Information
- Journal Title
- Classical and Quantum Gravity
- Journal Volume
- 21
- Journal Issue
- 23
- Journal Page Range
- p. 5519-5542
- ISSN
- 0264-9381
- CODEN
- CQGRDG
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36029214
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- GEODESICS; LORENTZ INVARIANCE; RIEMANN SPACE; SCALAR FIELDS; SPACE-TIME; TENSORS
- Descriptors DEC
- INVARIANCE PRINCIPLES; MATHEMATICAL SPACE; SPACE