First order description of D=4 static black holes and the Hamilton-Jacobi equation

Nuclear Physics B

Volumn 833, Issue 1-2, 2010, Pages 1-16

  Andrianopoli, L ^a,b   D'Auria, R ^a,b   Orazi, E ^a,b   Trigiante, M ^a,b  

^a POLITECNICO DI TORINO   (Italy)

^b SEZIONE DI TORINO   (Italy)

Author keywords

Attractor mechanism; Black holes; Hamilton Jacobi equation; Supergravity

Indexed keywords

EID: 77950628559     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2010.02.020     Document Type: Article

References (40)

1. Ferrara S., Kallosh R., Strominger A. N=2 extremal black holes. Phys. Rev. D 1995, 52:5412. arxiv:/hep-th/9508072.
2. Strominger A. Macroscopic entropy of N=2 extremal black holes. Phys. Lett. B 1996, 383:39. arxiv:/hep-th/9602111.
3. Ferrara S., Kallosh R. Supersymmetry and attractors. Phys. Rev. D 1996, 54:1514. arxiv:/hep-th/9602136.
4. Ferrara S., Kallosh R. Universality of supersymmetric attractors. Phys. Rev. D 1996, 54:1525. arxiv:/hep-th/9603090.
5. Kallosh R. New attractors. JHEP 2005, 0512:022. arxiv:/hep-th/0510024.
6. Ferrara S., Gibbons G.W., Kallosh R. Black holes and critical points in moduli space. Nucl. Phys. B 1997, 500:75. arxiv:/hep-th/9702103.
7. Andrianopoli L., D'Auria R., Ferrara S., Trigiante M. Extremal black holes in supergravity. Lecture Notes in Phys. 2008, 737:661. arxiv:/hep-th/0611345.
8. Ceresole A., Dall'Agata G. Flow equations for non-BPS extremal black holes. JHEP 2007, 0703:110. arxiv:/hep-th/0702088.
9. Andrianopoli L., D'Auria R., Orazi E., Trigiante M. First order description of black holes in moduli space. JHEP 2007, 0711:032. arxiv:/0706.0712.
10. Lopes Cardoso G., Ceresole A., Dall'Agata G., Oberreuter J.M., Perz J. First-order flow equations for extremal black holes in very special geometry. JHEP 2007, 0710:063. arxiv:/0706.3373.
11. Perz J., Smyth P., Van Riet T., Vercnocke B. First-order flow equations for extremal and non-extremal black holes. JHEP 2009, 0903:150. arxiv:/0810.1528.
12. Freedman D.Z., Nunez C., Schnabl M., Skenderis K. Fake supergravity and domain wall stability. Phys. Rev. D 2004, 69:104027. arxiv:/hep-th/0312055.
13. Bellucci S., Ferrara S., Gunaydin M., Marrani A. Charge orbits of symmetric special geometries and attractors. Internat. J. Modern Phys. A 2006, 21:5043. arxiv:/hep-th/0606209.
14. Ferrara S., Hayakawa K., Marrani A. Lectures on attractors and black holes. Fortschr. Phys. 2008, 56:993. arxiv:/0805.2498.
15. Bellucci S., Ferrara S., Marrani A., Yeranyan A. stu black holes unveiled arxiv:/0807.3503.
16. Ferrara S., Marrani A., Morales J.F., Samtleben H. Intersecting attractors arxiv:/0812.0050.
17. de Boer J., Verlinde E.P., Verlinde H.L. On the holographic renormalization group. JHEP 2000, 0008:003. arxiv:/hep-th/9912012.
18. Verlinde E.P., Verlinde H.L. RG-flow, gravity and the cosmological constant. JHEP 2000, 0005:034. arxiv:/hep-th/9912018.
19. Fukuma M., Matsuura S., Sakai T. Holographic renormalization group. Progr. Theoret. Phys. 2003, 109:489. arxiv:/hep-th/0212314.
20. Skenderis K., Townsend P.K. Hamilton-Jacobi method for domain walls and cosmologies. Phys. Rev. D 2006, 74:125008. arxiv:/hep-th/0609056.
21. Townsend P.K. Hamilton-Jacobi mechanics from pseudo-supersymmetry. Classical Quantum Gravity 2008, 25:045017. arxiv:/0710.5178.
22. Hotta K. Holographic RG flow dual to attractor flow in extremal black holes arxiv:/0902.3529.
23. Janssen B., Smyth P., Van Riet T., Vercnocke B. A first-order formalism for timelike and spacelike brane solutions. JHEP 2008, 0804:007. arxiv:/0712.2808.
24. Moore G.W. Arithmetic and attractors arxiv:/hep-th/9807087.
25. Breitenlohner P., Maison D., Gibbons G.W. Four-dimensional black holes from Kaluza-Klein theories. Comm. Math. Phys. 1988, 120:295.
26. Meyer K., Hall G. Introduction to Hamiltonian Dynamical Systems and the N-body Problem 1992, Springer-Verlag.
27. Kallosh R., Linde A.D., Shmakova M. Supersymmetric multiple basin attractors. JHEP 1999, 9911:010. arxiv:/hep-th/9910021.
28. Bellucci S., Ferrara S., Marrani A., Shcherbakov A. Splitting of attractors in 1-modulus quantum corrected special geometry. JHEP 2008, 0802:088. arxiv:/0710.3559.
29. Arnold V.I. Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics 1997, Springer.
30. Kallosh R. From BPS to non-BPS black holes canonically arxiv:/hep-th/0603003.
31. Behrndt K., Lopes Cardoso G., de Wit B., Lust D., Mohaupt T., Sabra W.A. Higher-order black-hole solutions in N=2 supergravity and Calabi-Yau string backgrounds. Phys. Lett. B 1998, 429:289. arxiv:/hep-th/9801081.
32. Hotta K., Kubota T. Exact solutions and the attractor mechanism in non-BPS black holes. Progr. Theoret. Phys. 2007, 118:969. arxiv:/0707.4554.
33. Gimon E.G., Larsen F., Simon J. Black holes in supergravity: The non-BPS branch. JHEP 2008, 0801:040. arxiv:/0710.4967.
34. W. Chemissany, P. Fre, J. Rosseel, A.S. Sorin, M. Trigiante, T. Van Riet, in preparation.
35. Cvetic M., Youm D. All the static spherically symmetric black holes of heterotic string on a six torus. Nucl. Phys. B 1996, 472:249. arxiv:/hep-th/9512127.
36. Bergshoeff E., Chemissany W., Ploegh A., Trigiante M., Van Riet T. Generating geodesic flows and supergravity solutions. Nucl. Phys. B 2009, 812:343. arxiv:/0806.2310.
37. Fre P., Sorin A.S. Supergravity black holes and billiards and Liouville integrable structure of dual Borel algebras arxiv:/0903.2559.
38. Chemissany W., Rosseel J., Trigiante M., Van Riet T. The full integration of black hole solutions to symmetric supergravity theories arxiv:/0903.2777.
39. Chemissany W., Fre P., Sorin A.S. The integration algorithm of Lax equation for both generic Lax matrices and generic initial conditions arxiv:/0904.0801.
40. Fre P., Sorin A.S. The integration algorithm for nilpotent orbits of G/H* Lax systems: For extremal black holes arxiv:/0903.3771.