On the absorption by near-extremal black branes

Nuclear Physics B

Volumn 610, Issue 1-2, 2001, Pages 117-143

  Policastro, G ^a,b   Starinets, A ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

^b SCUOLA NORMALE SUPERIORE   (Italy)

Author keywords

04.70.Dy; 11.15. q; 11.25. w

Indexed keywords

EID: 0042851779     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(01)00311-X     Document Type: Article

References (32)

1. Aharony O., Gubser S.S., Maldacena J., Ooguri H., Oz Y. Large N field theories, string theory and gravity. Phys. Rep. 323:2000;183 hep-th/9905111.
2. Klebanov I.R. World-volume approach to absorption by non-dilatonic branes. Nucl. Phys. B. 496:1997;231 hep-th/9702076.
3. Gubser S.S., Klebanov I.R. Absorption by branes and Schwinger terms in the world volume theory. Phys. Lett. B. 413:1997;41 hep-th/9708005.
4. Das S.R., Mathur S.D. Interactions involving D-branes. Nucl. Phys. B. 482:1996;153 hep-th/9607149.
5. Das S.R., Mathur S.D. Comparing decay rates for black holes and D-branes. Nucl. Phys. B. 478:1996;561 hep-th/9606185.
6. Maldacena J., Strominger A. Universal low-energy dynamics for rotating black holes. Phys. Rev. D. 56:1997;4975 hep-th/9702015.
7. Maldacena J. D-branes and near extremal black holes at low energies. Phys. Rev. D. 55:1997;7645 hep-th/9611125.
8. Satoh Y. Propagation of scalars in non-extremal black hole and black p -brane geometries. Phys. Rev. D. 58:1998;044004 hep-th/9801125.
9. Musiri S., Siopsis G. Phys. Lett. B. 504:2001;314 hep-th/0003284.
10. Vazquez-Poritz J.F. Absorption by nonextremal D3-branes. hep-th/0007202.
11. Langer R. On the asymptotic solutions of ordinary differential equations, with reference to the Stokes' phenomenon about a singular point. Trans. Amer. Math. Soc. 37:(3):1935;397-416.
12. Olver F.W.J. The asymptotic solution of linear differential equations of the second order in a domain containing one transition point. Philos. Trans. Roy. Soc. London Ser. A. 249:1956;65-97.
13. Olver F.W.J. Uniform asymptotic expansions of solutions of linear second-order differential equations for large values of a parameter. Philos. Trans. Roy. Soc. London Ser. A. 250:1958;479-517.
14. C.A. Swanson, Differential equations with singular points, Tech. Rep. 16, Department of Mathematics, California Institute of Technology, Pasadena, 1956, p. 24.
15. Kostomarov D.P. On the asymptotic behavior of solutions of certain linear differential equations of second order containing a large parameter. Mat. Sb. N. S. 45:(87):1958;17-30. (Russian).
16. Olver F.W.J. Asymptotics and Special Functions. 1997;Peters, Wellesley.
17. Gubser S.S. Can the effective string see higher partial waves? Phys. Rev. D. 56:1997;4984 hep-th/9704195.
18. Horowitz G.T., Strominger A. Black strings and P-branes. Nucl. Phys. B. 360:1991;197.
19. Kamke E. Differentialgleichungen, Losungsmethoden und Losungen. 1959;Akad. Verlagsgesellschaft, Leipzig.
20. Gubser S.S., Hashimoto A. Exact absorption probabilities for the D3-brane. Commun. Math. Phys. 203:1999;325 hep-th/9805140.
21. F.W.J. Olver, private communication.
22. Prudnikov A.P., Brychkov Yu.A., Marichev O.I. Integraly i Ryady. Specialnye Funktsii. 1983;Nauka, Moscow.
23. English translation Prudnikov A.P., Brychkov Yu.A., Marichev O.I. Special functions. Integrals and Series. 2:1988;Gordon & Breach, New York.
24. Prudnikov A.P., Brychkov Yu.A., Marichev O.I. More special functions. Integrals and Series. 3:1992;Gordon & Breach, New York.
25. Das S.R., Gibbons G., Mathur S.D. Universality of low energy absorption cross sections for black holes. Phys. Rev. Lett. 78:1997;417 hep-th/9609052.
26. Policastro G., Son D.T., Starinets A.O. The shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma. hep-th/0104066.
27. Abrikosov A.A., Gorkov L.P., Dzyaloshinskii I.E. Methods of Quantum Field Theory in Statistical Mechanics. 1963;Prentice-Hall, Englewood Cliffs.
28. Gubser S.S. Absorption of photons and fermions by black holes in four dimensions. Phys. Rev. D. 56:1997;7854 hep-th/9706100.
29. Klebanov I., Taylor W.I., Van Raamsdonk M. Absorption of dilaton partial waves by D3-branes. Nucl. Phys. B. 560:1999;207 hep-th/9905174.
30. Vshivtsev A.S., Zhukovsky V.Ch., Starinets A.O. Thermal Green's functions of massive scalar particles for finite matter density. Russ. Phys. J. 34:1991;589.
31. Gueven R. Black p -brane solutions of D=11 supergravity theory. Phys. Lett. B. 276:1992;49.
32. Cvetič M., Tseytlin A.A. Non-extreme black holes from non-extreme intersecting M-branes. Nucl. Phys. B. 478:1996;181 hep-th/9606033.