Integrability of five-dimensional minimal supergravity and charged rotating black holes

Classical and Quantum Gravity

Volumn 27, Issue 13, 2010, Pages

  Figueras, Pau ^a   Jamsin, Ella ^b   Rocha, Jorge V ^c   Virmani, Amitabh ^c  

^a DURHAM UNIVERSITY   (United Kingdom)

^b UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^c INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77953108531     PISSN: 02649381     EISSN: 13616382     Source Type: Journal    
DOI: 10.1088/0264-9381/27/13/135011     Document Type: Article

References (74)

1. Breitenlohner P, Maison D and Gibbons G W 1988 Four-dimensional black holes from Kaluza-Klein theories Commun. Math. Phys. 120 295
2. Cremmer E, Julia B, Lu H and Pope C N 1999 Higher-dimensional origin of D = 3 coset symmetries arXiv:hep-th/9909099
3. Robinson D C 1975 Uniqueness of the Kerr black hole Phys. Rev. Lett. 34 905
4. Mazur P O 1982 Proof of uniqueness of the Kerr-Newman black hole solution J. Phys. A: Math. Gen. 15 3173
5. Mazur P O 1984 Black hole uniqueness from a hidden symmetry of Einstein's gravity Gen. Rel. Grav. 16 211
6. Bunting G 1983 Proof of the uniqueness conjecture for black holes PhD thesis Department of Mathematics, University of New England, Armidale, NSW
7. Carter B 1985 Bunting identity and Mazur identity for non-linear elliptic systems including the black hole equilibrium problem Commun. Math. Phys. 99 563
8. Hollands S and Yazadjiev S 2008 Uniqueness theorem for 5-dimensional black holes with two axial Killing fields Commun. Math. Phys. 283 749 (arXiv:0707.2775 [gr-qc])
9. Hollands S and Yazadjiev S 2008 A uniqueness theorem for 5-dimensional Einstein-Maxwell black holes Class. Quantum Grav. 25 095010 (arXiv:0711.1722 [gr-qc])
10. Tomizawa S, Yasui Y and Ishibashi A 2009 A uniqueness theorem for charged rotating black holes in five-dimensional minimal supergravity Phys. Rev. D 79 124023 (arXiv:0901.4724 [hep-th])
11. Amsel A J, Horowitz G T, Marolf D and Roberts M M 2009 Uniqueness of extremal Kerr and Kerr-Newman black holes arXiv:0906.2367 [gr-qc]
12. Figueras P and Lucietti J 2010 On the uniqueness of extremal vacuum black holes Class. Quantum Grav. 27 095001 (arXiv:0906.5565 [hep-th])
13. Chrusciel P T and Lopes Costa J 2008 On uniqueness of stationary vacuum black holes arXiv:0806.0016 [gr-qc]
14. Costa J L 2010 On the classification of stationary electro-vacuum black holes Class. Quantum Grav. 27 035010 (arXiv:0912.0834 [gr-qc])
15. Tomizawa S, Yasui Y and Ishibashi A 2009 A uniqueness theorem for charged dipole rings in five-dimensional minimal supergravity arXiv:0911.4309 [hep-th]
16. Armas J and Harmark T 2009 Uniqueness theorem for black hole space-times with multiple disconnected horizons arXiv:0911.4654 [hep-th]
17. Belinsky V A and Zakharov V E 1978 Integration of the Einstein equations by the inverse scattering problem technique and the calculation of the exact soliton solutions Sov. Phys.-JETP 48 985
18. Belinsky V A and Zakharov V E 1978 Integration of the Einstein equations by the inverse scattering problem technique and the calculation of the exact soliton solutions Zh. Eksp. Teor. Fiz. 75 1953
19. Belinsky V A and Sakharov V E 1979 Stationary gravitational solitons with axial symmetry Sov. Phys.-JETP 50 1
20. Belinsky V A and Sakharov V E 1979 Stationary gravitational solitons with axial symmetry Zh. Eksp. Teor. Fiz. 77 3
21. Belinsky V and Verdaguer E 2001 Gravitational Solitons (Cambridge: Cambridge University Press)
22. Maison D 1978 Are the stationary, axially symmetric Einstein equations completely integrable? Phys. Rev. Lett. 41 521
23. Breitenlohner P and Maison D 1987 On the Geroch group Ann. Poincaré Phys. Theor. 46 215
24. Nicolai H 1991 Two-dimensional gravities and supergravities as integrable system Recent Aspects of Quantum Fields ed H Mitter and H Gausterer (Berlin: Springer)
25. Nicolai H, Korotkin D and Samtleben H 1996 Integrable classical and quantum gravity arXiv:hep-th/9612065
26. Alekseev G A N soliton solutions of the Einstein-Maxwell equations JETP Lett. 32 377
27. Alekseev G and Belinski V Einstein-Maxwell solitons AIP Conf. Proc. 1132 333 (COSMOLOGY AND GRAVITATION: XIII Brazilian School on Cosmology and Gravitation (XIII BSCG) and references therein)
28. Emparan R and Reall H S 2002 A rotating black ring in five dimensions Phys. Rev. Lett. 88 101101 (arXiv:hep-th/0110260)
29. Emparan R 2004 Rotating circular strings, and infinite non-uniqueness of black rings J. High Energy Phys. JHEP03(2004)064 (arXiv:hep-th/0402149)
30. Elvang H, Emparan R, Mateos D and Reall H S 2004 A supersymmetric black ring Phys. Rev. Lett. 93 211302 (arXiv:hep-th/0407065)
31. Emparan R and Reall H S 2006 Black rings Class. Quantum Grav. 23 R169 (arXiv:hep-th/0608012)
32. Emparan R and Reall H S 2008 Black holes in higher dimensions Living Rev. Rel. 11 6 (arXiv:0801.3471 [hep-th])
33. Elvang H, Emparan R and Figueras P 2005 Non-supersymmetric black rings as thermally excited supertubes J. High Energy Phys. JHEP02(2005)031 (arXiv:hep-th/0412130)
34. Pomeransky A A and Sen'kov R A 2006 Black ring with two angular momenta arXiv:hep-th/0612005
35. Mathur S D 2005 The fuzzball proposal for black holes: an elementary review Fortsch. Phys. 53 793 (arXiv:hep-th/0502050)
36. Bena I and Warner N P 2008 Black holes, black rings and their microstates Lect. Notes Phys. 755 1 (arXiv:hep-th/0701216)
37. Skenderis K and Taylor M 2008 The fuzzball proposal for black holes Phys. Rep. 467 117 (arXiv:0804.0552 [hep-th])
38. Balasubramanian V, de Boer J, El-Showk S and Messamah I 2008 Black holes as effective geometries Class. Quantum Grav. 25 214004 (arXiv:0811.0263 [hep-th])
39. de Boer J, El-Showk S, Messamah I and Van den Bleeken D 2010 A bound on the entropy of supergravity? J. High Energy Phys. JHEP02(2010)062 (arXiv:0906.0011 [hep-th])
40. Jejjala V, Madden O, Ross S F and Titchener G 2005 Non-supersymmetric smooth geometries and D1-D5-P bound states Phys. Rev. D 71 124030 (arXiv:hep-th/0504181)
41. Giusto S, Ross S F and Saxena A 2007 Non-supersymmetric microstates of the D1-D5-KK system J. High Energy Phys. JHEP12(2007)065 (arXiv:0708.3845 [hep-th])
42. Al Alawi J H and Ross S F 2009 Spectral flow of the non-supersymmetric microstates of the D1-D5-KK system J. High Energy Phys. JHEP10(2009)082 (arXiv:0908.0417 [hep-th])
43. Bena I, Giusto S, Ruef C and Warner N P 2009 A (running) bolt for new reasons J. High Energy Phys. JHEP11(2009)089 (arXiv:0909.2559 [hep-th])
44. Bobev N and Ruef C 2010 The nuts and bolts of Einstein-Maxwell solutions J. High Energy Phys. JHEP01(2010)124 (arXiv:0912.0010 [hep-th])
45. Gauntlett J P, Gutowski J B, Hull C M, Pakis S and Reall H S 2003 All supersymmetric solutions of minimal supergravity in five dimensions Class. Quantum Grav. 20 4587 (arXiv:hep-th/0209114)
46. Compere G, de Buyl S, Jamsin E and Virmani A 2009 G2 dualities in D = 5 supergravity and black strings Class. Quantum Grav. 26 12 (arXiv:0903.1645 [hep-th])
47. 2 generating technique for minimal D = 5 supergravity and black rings Phys. Rev. D 76 104032
48. 2 generating technique for minimal D = 5 supergravity and black rings Phys. Rev. D 78 029901 (arXiv:0708.2361 [hep-th])
49. Clement G 2008 The symmetries of five-dimensional minimal supergravity reduced to three dimensions J. Math. Phys. 49 042503
50. Clement G 2008 The symmetries of five-dimensional minimal supergravity reduced to three dimensions J. Math. Phys. 49 079901 (arXiv:0710.1192 [gr-qc])
51. Breitenlohner P and Maison D 2000 On nonlinear sigma-models arising in (super) gravity Commun. Math. Phys. 209 785 (arXiv:gr-qc/9806002)
52. Mizoguchi S and Ohta N 1998 More on the similarity between D = 5 simple supergravity and M theory Phys. Lett. B 441 123 (arXiv:hep-th/9807111)
53. Giusto S and Saxena A 2007 Stationary axisymmetric solutions of five dimensional gravity Class. Quantum Grav. 24 4269 (arXiv:0705.4484 [hep-th])
54. Wald R M 1984 General Relativity (Chicago, IL: Chicago University Press) 491 p
55. Emparan R and Reall H S 2002 Generalized Weyl solutions Phys. Rev. D 65 084025 (arXiv:hep-th/0110258)
56. Lu H, Perry M J and Pope C N 2007 Infinite-dimensional symmetries of two-dimensional coset models arXiv:0711.0400 [hep-th]
57. Lu H, Perry M J and Pope C N 2009 Infinite-dimensional symmetries of two-dimensional coset models coupled to gravity Nucl. Phys. B 806 656 (arXiv:0712.0615 [hep-th])
58. Schwarz J H 1995 Classical symmetries of some two-dimensional models Nucl. Phys. B 447 137 (arXiv:hep-th/9503078)
59. Bernard D and Julia B 1999 Twisted self-duality of dimensionally reduced gravity and vertex operators Nucl. Phys. B 547 427 (arXiv:hep-th/9712254)
60. Kleinschmidt A and Nicolai H 2005 Gradient representations and affine structures Class. Quantum Grav. 22 4457 (arXiv:hep-th/0506238)
61. Kac V G 1990 Infinite Dimensional Lie Algebras (Cambridge: Cambridge University Press) 400 p
62. Fuchs J and Schweigert C 1997 Symmetries, Lie Algebras and Representations: A Graduate Course for Physicists (Cambridge: Cambridge University Press) 438 p
63. Pomeransky A A 2006 Complete integrability of higher dimensional Einstein equations with additional symmetry, and rotating black holes Phys. Rev. D 73 044004 (arXiv:hep-th/0507250)
64. Bakas I 1994 O(2,2) transformations and the string Geroch group Nucl. Phys. B 428 374 (arXiv:hep-th/9402016)
65. Yazadjiev S S 2006 Completely integrable sector in 5D Einstein-Maxwell gravity and derivation of the dipole black ring solutions Phys. Rev. D 73 104007 (arXiv:hep-th/0602116)
66. Geroch R P 1972 A method for generating new solutions of Einstein's equation: 2 J. Math. Phys. 13 394
67. Sen A 1995 Duality symmetry group of two-dimensional heterotic string theory Nucl. Phys. B 447 62 (arXiv:hep-th/9503057)
68. Cvetic M and Youm D 1996 General rotating five dimensional black holes of toroidally compactified heterotic string Nucl. Phys. B 476 118 (arXiv:hep-th/9603100)
69. Cvetic M and Larsen F 1997 General rotating black holes in string theory: greybody factors and event horizons Phys. Rev. D 56 4994 (arXiv:hep-th/9705192)
70. Harmark T 2004 Stationary and axisymmetric solutions of higher-dimensional general Phys. Rev. D 70 124002 (arXiv:hep-th/0408141)
71. Humphreys J E 1980 Introduction to Lie Algebras and Representation Theory 3rd print. (rev.) (New York: Springer)
72. Fulton W and Harris J 1991 Representation theory: a first course Graduate Texts in Mathematics vol 129 (New York: Springer) section 22.3
73. Baez J C 2002 The octonions Bull. Am. Math. Soc. 39 145-205
74. Baez J C 2005 Bull. Am. Math. Soc. 42 213 (arXiv:math/0105155)