First-order flow equations for extremal and non-extremal black holes

Journal of High Energy Physics

Volumn 2009, Issue 3, 2009, Pages

  Perz, Jan ^a   Smyth, Paul ^b   Riet, Thomas Van ^c,d   Vercnocke, Bert ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

^b UNIVERSITY OF HAMBURG   (Germany)

^c UNIVERSITY OF GRANADA   (Spain)

^d UNIVERSITY OF OVIEDO   (Spain)

Author keywords

Black holes; Black holes in string theory; Integrable equations in physics

Indexed keywords

EID: 67650215923     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/03/150     Document Type: Article

References (46)

1. S. Ferrara, R. Kallosh and A. Strominger, 1995 N=2 extremal black holes, Phys. Rev. D 52 5412 [hep-th/9508072]
2. S. Ferrara and R. Kallosh, 1996 Supersymmetry and attractors, Phys. Rev. D 54 1514 [hep-th/9602136]
3. S. Ferrara and R. Kallosh, 1996 Universality of supersymmetric attractors, Phys. Rev. D 54 1525 [hep-th/9603090]
4. S. Ferrara, G.W. Gibbons and R. Kallosh, 1997 Black holes and critical points in moduli space, Nucl. Phys. B 500 75 [hep-th/9702103]
5. A. Ceresole and G. Dall'Agata, 2007 Flow equations for non-BPS extremal black holes, J. High Energy Phys. JHEP03(2007)110 [hep-th/0702088]
6. L. Andrianopoli, R. D'Auria, E. Orazi and M. Trigiante, 2007 First order description of black holes in moduli space, J. High Energy Phys. JHEP11(2007)032 [0706.0712]
7. G. Lopes Cardoso, A. Ceresole, G. Dall'Agata, J.M. Oberreuter and J. Perz, 2007 First-order flow equations for extremal black holes in very special geometry, J. High Energy Phys. JHEP10(2007)063 [0706.3373]
8. C.M. Miller, K. Schalm and E.J. Weinberg, 2007 Nonextremal black holes are BPS, Phys. Rev. D 76 044001 [hep-th/0612308]
9. M.R. Garousi and A. Ghodsi, 2007 On attractor mechanism and entropy function for non-extremal black holes/branes, J. High Energy Phys. JHEP05(2007)043 [hep-th/0703260]
10. S. Ferrara, K. Hayakawa and A. Marrani, 2008 Erice lectures on black holes and attractors, Fortsch. Phys. 56 993 [0805.2498]
11. K. Goldstein, R.P. Jena, G. Mandal and S.P. Trivedi, 2006 A C-function for non-supersymmetric attractors, J. High Energy Phys. JHEP02(2006)053 [hep-th/0512138]
12. D.Z. Freedman, C. Ñez, M. Schnabl and K. Skenderis, 2004 Fake supergravity and domain wall stability, Phys. Rev. D 69 104027 [hep-th/0312055]
13. A. Celi, A. Ceresole, G. Dall'Agata, A. Van Proeyen and M. Zagermann, 2005 On the fakeness of fake supergravity, Phys. Rev. D 71 045009 [hep-th/0410126]
14. K. Skenderis and P.K. Townsend, 2006 Hidden supersymmetry of domain walls and cosmologies, Phys. Rev. Lett. 96 191301 [hep-th/0602260]
15. I. Papadimitriou, 2007 Non-supersymmetric membrane flows from fake supergravity and multi-trace deformations, J. High Energy Phys. JHEP02(2007)008 [hep-th/0606038]
16. V.I. Afonso, D. Bazeia and L. Losano, 2006 First-order formalism for bent brane, Phys. Lett. B 634 526 [hep-th/0601069]
17. H. Elvang, D.Z. Freedman and H. Liu, 2007 From fake supergravity to superstars, J. High Energy Phys. JHEP12(2007)023 [hep-th/0703201]
18. J. Sonner and P.K. Townsend, 2007 Axion-dilaton domain walls and fake supergravity, Class. Quant. Grav. 24 3479 [hep-th/0703276]
19. P. Breitenlohner, D. Maison and G.W. Gibbons, 1988 Four-dimensional black holes from Kaluza-Klein theories, Commun. Math. Phys. 120 295
20. D. Gaiotto, W.W. Li and M. Padi, 2007 Non-supersymmetric attractor flow in symmetric spaces, J. High Energy Phys. JHEP12(2007)093 [0710.1638]
21. M. Günaydin, A. Neitzke, B. Pioline and A. Waldron, 2006 BPS black holes, quantum attractor flows and automorphic forms, Phys. Rev. D 73 084019 [hep-th/0512296]
22. E. Bergshoeff, W. Chemissany, A. Ploegh, M. Trigiante and T. Van Riet, 2009 Generating geodesic flows and supergravity solutions, Nucl. Phys. B 812 343 [0806.2310]
23. G.W. Gibbons, R. Kallosh and B. Kol, 1996 Moduli, scalar charges and the first law of black hole thermodynamics, Phys. Rev. Lett. 77 4992 [hep-th/9607108]
24. B. Janssen, P. Smyth, T. Van Riet and B. Vercnocke, 2008 A first-order formalism for timelike and spacelike brane solutions, J. High Energy Phys. JHEP04(2008)007 [0712.2808]
25. K. Goldstein, N. Iizuka, R.P. Jena and S.P. Trivedi, 2005 Non-supersymmetric attractors, Phys. Rev. D 72 124021 [hep-th/0507096]
26. L. Andrianopoli, R. D'Auria, S. Ferrara and M. Trigiante, 2008 Extremal black holes in supergravity, Lect. Notes Phys. 737 661 [hep-th/0611345]
27. R. D'Auria, S. Ferrara and M. Trigiante, 2007 Critical points of the black-hole potential for homogeneous special geometries, J. High Energy Phys. JHEP03(2007)097 [hep-th/0701090]
28. L. Andrianopoli, S. Ferrara, A. Marrani and M. Trigiante, 2008 Non-BPS attractors in 5D and 6D extended supergravity, Nucl. Phys. B 795 428 [0709.3488]
29. S. Ferrara and A. Marrani, 2007 Black hole attractors in extended supergravity, AIP Conf. Proc. 957 58 [0708.1268]
30. S. Ferrara, A. Gnecchi and A. Marrani, 2008 D=4 attractors, effective horizon radius and fake supergravity, Phys. Rev. D 78 065003 [0806.3196]
31. S. Bellucci, S. Ferrara, A. Marrani and A. Yeranyan, stu black holes unveiled, [0807.3503]
32. H. Lü, C.N. Pope and J.F. Vzquez-Poritz, 2005 From AdS black holes to supersymmetric flux-branes, Nucl. Phys. B 709 47 [hep-th/0307001]
33. A. Comtet and G.W. Gibbons, 1988 Bogomolny bounds for cosmic strings, Nucl. Phys. B 299 719
34. A. Collinucci, P. Smyth and A. Van Proeyen, 2007 The energy and stability of D-term strings, J. High Energy Phys. JHEP02(2007)060 [hep-th/0611111]
35. A.-C. Davis and S. Rajamanoharan, 2009 Bogomol'nyi bounds for gravitational cosmic strings, J. High Energy Phys. JHEP01(2009)027 [0809.4384]
36. W. Chemissany, A. Ploegh and T. Van Riet, 2007 A note on scaling cosmologies, geodesic motion and pseudo-SUSY, Class. Quant. Grav. 24 4679 [0704.1653]
37. G.L. Cardoso and V. Grass, 2008 On five-dimensional non-extremal charged black holes and FRW cosmology, Nucl. Phys. B 803 209 [0803.2819]
38. G.W. Gibbons, 1982 Antigravitating black hole solitons with scalar hair in N=4 supergravity, Nucl. Phys. B 207 337
39. K. Hotta and T. Kubota, 2007 Exact solutions and the attractor mechanism in non-BPS black holes, Prog. Theor. Phys. 118 969 [0707.4554]
40. E.G. Gimon, F. Larsen and J. Simon, 2008 Black holes in supergravity: the non-BPS branch, J. High Energy Phys. JHEP01(2008)040 [0710.4967]
41. K. Behrndt, S. Gukov and M. Shmakova, 2001 Domain walls, black holes and supersymmetric quantum mechanics, Nucl. Phys. B 601 49 [hep-th/0101119]
42. M. Cveti, S.S. Gubser, H. Lü and C.N. Pope, 2000 Symmetric potentials of gauged supergravities in diverse dimensions and Coulomb branch of gauge theories, Phys. Rev. D 62 086003 [hep-th/9909121]
43. E. Bergshoeff, M. Nielsen and D. Roest, 2004 The domain walls of gauged maximal supergravities and their M-theory origin, J. High Energy Phys. JHEP07(2004)006 [hep-th/0404100]
44. P.K. Townsend and M.N.R. Wohlfarth, 2004 Cosmology as geodesic motion, Class. Quant. Grav. 21 5375 [hep-th/0404241]
45. E. Bergshoeff, W. Chemissany, A. Ploegh and T. Van Riet, 2008 Geodesic flows in cosmology, J. Phys. Conf. Ser. 110 102002
46. L.A. Ferreira and D.I. Olive, 1985 Noncompact symmetric spaces and the Toda molecule equations, Commun. Math. Phys. 99 365