Ricci identities in higher dimensions

Classical and Quantum Gravity

Volumn 24, Issue 6, 2007, Pages

  Ortaggio, M ^a   Pravda, V ^b   Pravdova A ^b  

^a UNIVERSITY OF TRENTO   (Italy)

^b MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33847654831     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/24/6/018     Document Type: Article

References (18)

1. Stephani H, Kramer D, MacCallum M, Hoenselaers C and Herlt E 2003 Exact Solutions of Einstein's Field Equations 2nd edn (Cambridge: Cambridge University Press)
2. Penrose R and Rindler W 1986 Spinors and Space-Time vol 2 (Cambridge: Cambridge University Press)
3. Goldberg J N and Sachs R K 1962 A theorem on Petrov types Acta Phys. Polon. 22 ((Suppl.)) 13-23
4. Newman E and Penrose R 1962 An approach to gravitational radiation by a method of spin coefficients J. Math. Phys. 3 566-78
5. See also Newman E Penrose R 1963 J. Math. Phys. 4 998 (erratum)
6. Coley A, Milson R, Pravda V and Pravdová A 2004 Classification of the Weyl tensor in higher dimensions Class. Quantum Grav. 21 L35-41
7. Milson R, Coley A, Pravda V and Pravdová A 2005 Alignment and algebraically special tensors in Lorentzian geometry Int. J. Geom. Meth. Mod. Phys. 2 41-61
8. Frolov V P and Stojković D 2003 Particle and light motion in a space-time of a five-dimensional rotating black hole Phys. Rev. D 68 064011
9. Pravda V, Pravdová A, Coley A and Milson R 2004 Bianchi identities in higher dimensions Class. Quantum Grav. 21 2873-97
10. Lewandowski J and Pawlowski T 2005 Quasi-local rotating black holes in higher dimension: geometry Class. Quantum Grav. 22 1573-98
11. Podolsḱ J and Ortaggio M 2006 Robinson-Trautman spacetimes in higher dimensions Class. Quantum Grav. 23 5785-97
12. Coley A, Milson R, Pravda V and Pravdová A 2004 Vanishing scalar invariant spacetimes in higher dimensions Class. Quantum Grav. 21 5519-42
13. Sachs R 1961 Gravitational waves in general relativity. VI. The outgoing radiation condition Proc. R. Soc. A 264 309-38
14. Eisenhart L P 1949 Riemannian Geometry 2nd edn (Princeton, NJ: Princeton University Press)
15. Hall G S, Morgan T and Perjés Z 1987 Three-dimensional space-times Gen. Rel. Grav. 19 1137-47
16. Coley A, Hervik S and Pelavas N 2006 On spacetimes with constant scalar invariants Class. Quantum Grav. 23 3053-74
17. Coley A, Fuster A, Hervik S and Pelavas N 2006 Higher dimensional VSI spacetimes Class. Quantum Grav. 23 7431-44
18. Pravda V, Pravdová A and Ortaggio M in preparation