Kerr-Schild ansatz in Einstein-Gauss-Bonnet gravity: An exact vacuum solution in five dimensions

Classical and Quantum Gravity

Volumn 26, Issue 6, 2009, Pages

  Anabalón, Andrés ^a,b   Deruelle, Nathalie ^c   Morisawa, Yoshiyuki ^d   Oliva, Julio ^a   Sasaki, Misao ^e   Tempo, David ^a,f   Troncoso, Ricardo ^a  

^a CENTRO DE ESTUDIOS CIENTÍFICOS CECS   (Chile)

^b ALBERT EINSTEIN INSTITUT   (Germany)

^c UNIVERSITÉ PARIS DIDEROT   (France)

^d OSAKA UNIVERSITY OF ECONOMICS AND LAW   (Japan)

^e KYOTO UNIVERSITY   (Japan)

^f UNIVERSITY OF CONCEPCIÓN   (Chile)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68949163222     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/26/6/065002     Document Type: Article

References (39)

1. Kerr R P and Schild A 1965 Proc. Symp. Appl. Math. 17 199
2. Debney G C, Kerr R P and Schild A 1969 J. Math. Phys. 10 245
3. Stephani H et al 2003 Exact Solutions of Einstein's Field Equations 2nd edn (Cambridge: Cambridge University Press)
4. Myers R C and Perry M J 1986 Ann. Phys. 172 304
5. Hawking S W, Hunter C J and Taylor M 1999 Phys. Rev. D 59 064005
6. Gibbons G W, Lu H, Page D N and Pope C N 2005 J. Geom. Phys. 53 49
7. Pravda V, Pravdova A and Ortaggio M 2007 Class. Quantum. Grav. 24 4407
8. Emparan R and Reall H S 2008 Living Rev. Rel. 11 6
9. Ortaggio M, Pravda V and Pravdova A 2009 Class. Quantum. Grav. 26 025008
10. Deruelle N and Madore J 2003 On the quasi-linearity of the 'Einstein-Gauss-Bonnet' gravity field equations arXiv:gr-qc/0305004
11. Garraffo C and Giribet G 2008 Mod. Phys. Lett. A 23 1801
12. Aros R, Troncoso R and Zanelli J 2001 Phys. Rev. D 63 084015
13. Cai R G 2002 Phys. Rev. D 65 084014
14. Cai R G and Guo Q 2004 Phys. Rev. D 69 104025
15. Boulware D G and Deser S 1985 Phys. Rev. Lett. 55 2656
16. Wheeler J 1986 Nucl. Phys. B 268 737
17. Wheeler J 1986 Nucl. Phys. B 273 732
18. Wiltshire D 1986 Phys. Lett. B 169 36
19. Alexeyev S, Popov N, Startseva M, Barrau A and Grain J 2008 J. Exp. Theor. Phys. 106 709
20. Brihaye Y and Radu E 2008 Phys. Lett. B 661 167
21. Kim H and Cai R G 2008 Phys. Rev. D 77 024045
22. Lanczos C 1932 Z. Phys. 73 147
23. Lanczos C 1938 Ann. Math. 39 842
24. Lovelock D 1971 J. Math. Phys. 12 498
25. Crisostomo J, Troncoso R and Zanelli J 2000 Phys. Rev. D 62 084013
26. Henneaux M and Teitelboim C 1985 Commun. Math. Phys. 98 391
27. Henneaux M 1985 Asymptotically anti-de Sitter universes in D = 3, 4 and higher dimensions Proc. of the Fourth Marcel Grossmann Meeting on General Relativity (Rome, 1985) ed R Ruffini (Amsterdam: Elsevier) pp 959-66
28. Dotti G, Oliva J and Troncoso R 2007 Phys. Rev. D 76 064038
29. Dotti G, Oliva J and Troncoso R 2008 Vacuum solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory The Proc. of 7th Alexander Friedmann International Seminar on Gravitation and Cosmology, Joao Pessoa (Brazil, 2008) at press (arXiv:0809.4378) (CECS-PHY-08-12)
30. Charmousis C and Dufaux J F 2002 Class. Quantum Grav. 19 4671
31. Zegers R 2005 J. Math. Phys. 46 072502
32. Deser S and Franklin J 2005 Class. Quantum Grav. 22 L103
33. Deser S and Tekin B 2003 Phys. Rev. D 67 084009
34. Padilla A 2003 Class. Quantum Grav. 20 3129
35. Deruelle N, Katz J and Ogushi S 2004 Class. Quantum Grav. 21 1971
36. Deruelle N and Morisawa Y 2005 Class. Quantum Grav. 22 933
37. Deruelle N 2005 Mass and angular momenta of Kerr-anti-de Sitter spacetimes (arXiv:gr-qc/0502072)
38. Mora P, Olea R, Troncoso R and Zanelli J 2004 J. High Energy Phys. JHEP06(2004)036
39. Anabalón A, Deruelle N, Oliva J, Tempo D and Troncoso R Exact rotating solution in vacuum for the Einstein-Gauss-Bonnet theory in five dimensions (CECS-PHY-08/19)