Type D Einstein spacetimes in higher dimensions

Classical and Quantum Gravity

Volumn 24, Issue 17, 2007, Pages 4407-4428

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

^a INSTITUTE OF MATHEMATICS   (Czech Republic)

^b UNIVERSITY OF TRENTO   (Italy)

^c UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 37549006498     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/24/17/009     Document Type: Article

References (36)

1. nd edn (Cambridge: Cambridge University Press)
2. Coley A, Milson R, Pravda V and Pravdová A 2004 Classification of the Weyl tensor in higher dimensions Class. Quantum Grav. 21 L35-41
3. Milson R, Coley A, Pravda V and Pravdová A 2005 Alignment and algebraically special tensors in Lorentzian geometry Int. J. Geom. Methods Mod. Phys. 2 41-61
4. Coley A and Pelavas N 2006 Algebraic classification of higher dimensional spacetimes Gen. Rel. Grav. 38 445-61
5. Ortaggio M and Pravda V 2006 Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment J. High Energy Phys. JHEP12(2006)054
6. Ida D and Uchida Y 2003 Stationary Einstein-Maxwell fields in arbitrary dimensions Phys. Rev. D 68 104014
7. 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
8. Pravda V, Pravdová A, Coley A and Milson R 2004 Bianchi identities in higher dimensions Class. Quantum Grav. 21 2873-97
9. Myers R C and Perry M J 1986 Black holes in higher dimensional space-times Ann. Phys., NY 172 304-47
10. Ortaggio M, Pravda V and Pravdová A 2007 Ricci identities in higher dimensions Class. Quantum Grav. 24 1657-64
11. Pravda V and Pravdová A 2005 WANDs of the black ring Gen. Rel. Grav. 37 1277-87
12. Petrov A Z 1969 Einstein Spaces (Oxford: Pergamon) (translation of the 1961 Russian edition)
13. Kinnersley W 1969 Type D vacuum metrics J. Math. Phys. 10 1195-203
14. Pravda V, Pravdová A and Ortaggio M in preparation
15. Hamamoto N, Houri T, Oota T and Yasui Y 2007 Kerr-NUT-de Sitter curvature in all dimensions J. Phys. A: Math. Gen. 40 F177-84
16. Chen W, Lü H and Pope C N 2006 General Kerr-NUT-AdS metrics in all dimensions Class. Quantum Grav. 23 5323-40
17. Emparan R and Reall H S 2002 A rotating black ring solution in five dimensions Phys. Rev. Lett. 88 101101
18. Harmark T 2004 Stationary and axisymmetric solutions of higher-dimensional general relativity Phys. Rev. D 70 124002
19. Elvang H and Figueras P 2007 Black saturn J. High Energy Phys. JHEP05(2007)050 (Preprint hep-th/0701035)
20. Pomeransky A A and Sen'kov R A 2006 Black ring with two angular momenta Preprint hep-th/0612005
21. Iguchi H and Mishima T 2007 Black di-ring and infinite nonuniqueness Phys. Rev. D 75 064018
22. Kleihaus B, Kunz J and Radu E 2007 Rotating nonuniform black string solutions J. High Energy Phys. JHEP05(2007)058 (Preprint hep-th/0702053)
23. Emparan R and Reall H S 2006 Black rings Class. Quantum Grav. 23 R169-97
24. Podolský J and Veselý K 1998 New examples of sandwich gravitational waves and their impulsive limit Czech. J. Phys. 48 871-8
25. Coley A, Milson R, Pelavas N, Pravda V, Pravdová A and Zalaletdinov R 2003 Generalizations of pp-wave spacetimes in higher dimensions Phys. Rev. D 67 104020
26. Lewandowski J and Pawlowski T 2005 Quasi-local rotating black holes in higher dimension: geometry Class. Quantum Grav. 22 1573-98
27. Hollands S, Ishibashi A and Wald R M 2007 A higher dimensional stationary rotating black hole must be axisymmetric Commun. Math. Phys. 271 699-722
28. Ficken F A 1939 The Riemannian and affine differential geometry of product-spaces Ann. Math. 40 892-913
29. Freund P G O and Rubin M A 1980 Dynamics of dimensional reduction Phys. Lett. B 97 233-5
30. Cardoso V, Dias Ó J C and Lemos J P S 2004 Nariai, Bertotti-Robinson and anti-Nariai solutions in higher dimensions Phys. Rev. D 70 024002
31. Ramos M P M and Vaz E G L R 2003 Double warped space-times J. Math. Phys. 44 4839-65
32. Carot J and da Costa J 1993 On the geometry of warped spacetimes Class. Quantum Grav. 10 461-82
33. Plebański J and Stachel J 1979 Einstein tensor and spherical symmetry J. Math. Phys. 9 269-83
34. Horowitz G T and Ross S F 1998 Properties of naked black holes Phys. Rev. D 57 1098-1107
35. Podolský J and Ortaggio M 2006 Robinson-Trautman spacetimes in higher dimensions Class. Quantum Grav. 23 5785-97
36. Ortaggio M 2007 Higher dimensional spacetimes with a geodesic, shearfree, twistfree and expanding null congruence Preprint gr-qc/0701036