The extremal black holes of N = 4 supergravity from so(8, 2 + n) nilpotent orbits

General Relativity and Gravitation

Volumn 42, Issue 3, 2010, Pages 539-565

  Bossard, Guillaume ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

Black holes; Lie algebra; Supergravity

Indexed keywords

EID: 77950459192     PISSN: 00017701     EISSN: 15729532     Source Type: Journal    
DOI: 10.1007/s10714-009-0871-1     Document Type: Article

References (20)

1. Kallosh R., Ortín T.: Charge quantization of axion-dilaton black holes. Phys. Rev. D 48, 742 (1993) [hep-th/9302109].
2. Papapetrou A.: A static solution of the equations of the gravitational field for an arbitrary charge distribution. Proc. Roy. Irish Acad. A 51, 191 (1945).
3. Majumdar S. D.: A class of exact solutions of Einstein's field equations. Phys. Rec. 72, 390 (1945).
4. Clement G., Galtsov D. V.: Stationary BPS solutions to dilaton-axion gravity. Phys. Rev. D 54, 6136 (1996) [hep-th/9607043].
5. Bossard, G., Nicolai, H.: Multi-black holes from nilpotent Lie algebra orbits. Gen. Relativ. Gravit. (in press). [hep-th/0906. 1987].
6. Bossard, G., Nicolai, H., Stelle, K. S.: Universal BPS structure of stationary supergravity solutions. 0902. 4438 [hep-th].
7. Hotta K., Kubota T.: Exact solutions and the attractor mechanism in non-BPS black holes. Prog. Theor. Phys. 118, 969 (2007) 0707. 4554 [hep-th].
8. Gimon E. G., Larsen F., Simon J.: Black holes in supergravity: the non-BPS branch. JHEP 0801, 040 (2008) 0710. 4967 [hep-th].
9. Bellucci, S., Ferrara, S., Marrani, A., Yeranyan, A.: STU black holes unveiled 0807. 3503 [hep-th].
10. Ferrara S., Kallosh R., Strominger A.: N = 2 extremal black holes. Phys. Rev. D 52, 5412 (1995) [hep-th/9508072].
11. Ferrara S., Kallosh R.: Supersymmetry and attractors. Phys. Rev. D 54, 1514 (1996) [hep-th/9602136].
12. Dabholkar A., Sen A., Trivedi S. P.: Black hole microstates and attractor without supersymmetry. JHEP 0701, 096 (2007) [hep-th/0611143].
13. Collingwood D. H., McGovern W. M.: Nilpotent Orbits in Semisimple Lie Algebra. van Nostrand Reinhold mathematics series, New York (1993).
14. Breitenlohner P., Maison D., Gibbons G. W.: Four-dimensional black holes from Kaluza-Klein theories. Commun. Math. Phys. 120, 295 (1988).
15. Gibbons G. W., Hawking S. W.: Gravitational multi-instantons. Phys. Lett. B 78, 430 (1978).
16. Bossard G., Nicolai H., Stelle K. S.: Gravitational multi-NUT solitons, Komar masses and charges. Gen. Relativ. Gravit. 41, 1367 (2009) 0809. 5218 [hep-th].
17. Michel Y., Pioline B., Rousset C.: N = 4 BPS black holes and octonionic twistors. JHEP 0811, 068 (2008) 0806. 4563 [hep-th].
18. D{stroke}oković D.Ž., Lemire N., Sekiguchi J.: The closure ordering of adjoint nilpotent orbits in so(p,q). Tohoku Mat. J. 53, 395 (2001).
19. q). Canad. J. Math. 55, 1155 (2003).
20. 8. CEJM 4, 573 (2003).