Abstract
We study the greybody factors, the reflection and transmission coefficients for a non-minimally coupled massive scalar field in a d-dimensional topological massless black hole background in the zero-frequency limit. We show that there is a range of modes contributing to the absorption cross section, contrary to the current results where the only contribution comes from the mode with lowest angular momentum.
Similar content being viewed by others
References
S.W. Hawking, Particle Creation By Black Holes, Commun. Math. Phys. 43 (1975) 199 [Erratum ibid. 46 (1976) 206] [SPIRES].
T. Harmark, J. Natario and R. Schiappa, Greybody Factors for d-Dimensional Black Holes, arXiv:0708.0017 [SPIRES].
J.M. Maldacena and A. Strominger, Black hole greybody factors and D-brane spectroscopy, Phys. Rev. D 55 (1997) 861 [hep-th/9609026] [SPIRES].
A.A. Starobinsky and S.M. Churilov, Amplification of electromagnetic and gravitational waves scattered by a rotating “black hole”, Sov. Phys. JETP 38 (1974) 1.
G.W. Gibbons, Vacuum Polarization and the Spontaneous Loss of Charge by Black Holes, Commun. Math. Phys. 44 (1975) 245 [SPIRES].
D.N. Page, Particle Emission Rates from a Black Hole: Massless Particles from an Uncharged, Nonrotating Hole, Phys. Rev. D 13 (1976) 198 [SPIRES].
W.G. Unruh, Absorption Cross-Section of Small Black Holes, Phys. Rev. D 14 (1976) 3251 [SPIRES].
S.R. Das, G.W. Gibbons and S.D. Mathur, Universality of low energy absorption cross sections for black holes, Phys. Rev. Lett. 78 (1997) 417 [hep-th/9609052] [SPIRES].
D. Lovelock, The Einstein tensor and its generalizations, J. Math. Phys. 12 (1971) 498 [SPIRES].
I.P. Neupane, Thermodynamic and gravitational instability on hyperbolic spaces, Phys. Rev. D 69 (2004) 084011 [hep-th/0302132] [SPIRES].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [SPIRES].
R. Aros, R. Troncoso and J. Zanelli, Black holes with topologically nontrivial AdS asymptotics, Phys. Rev. D 63 (2001) 084015 [hep-th/0011097] [SPIRES].
R. Aros, C. Martinez, R. Troncoso and J. Zanelli, Quasinormal modes for massless topological black holes, Phys. Rev. D 67 (2003) 044014 [hep-th/0211024] [SPIRES].
L. Vanzo, Black holes with unusual topology, Phys. Rev. D 56 (1997) 6475 [gr-qc/9705004] [SPIRES].
D.R. Brill, J. Louko and P. Peldan, Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons, Phys. Rev. D 56 (1997) 3600 [gr-qc/9705012] [SPIRES].
A. Terras, Harmonic Analysis on Symmetric Spaces and Applications I, Springer-Verlag, New York U.S.A. (1985).
M. Abramowitz and A. Stegun, Handbook of Mathematical functions, Dover publications, New York U.S.A. (1970).
T. Hertog and G.T. Horowitz, Towards a big crunch dual, JHEP 07 (2004) 073 [hep-th/0406134] [SPIRES].
L. Mezincescu and P.K. Townsend, Stability at a local maximum in higher dimensional anti-de Sitter space and applications to supergravity, Ann. Phys. 160 (1985) 406 [SPIRES].
Y. Satoh, Propagation of scalars in non-extremal black hole and black p-brane geometries, Phys. Rev. D 58 (1998) 044004 [hep-th/9801125] [SPIRES].
D. Birmingham, I. Sachs and S. Sen, Three-dimensional black holes and string theory, Phys. Lett. B 413 (1997) 281 [hep-th/9707188] [SPIRES].
W.T. Kim and J.J. Oh, Dilaton driven Hawking radiation in AdS 2 black hole, Phys. Lett. B 461 (1999) 189 [hep-th/9905007] [SPIRES].
J.J. Oh and W. Kim, Absorption Cross section in Warped AdS 3 Black Hole, JHEP 01 (2009) 067 [arXiv:0811.2632] [SPIRES].
H.-C. Kao and W.-Y. Wen, Absorption cross section in warped AdS 3 black hole revisited, JHEP 09 (2009) 102 [arXiv:0907.5555] [SPIRES].
P. Breitenlohner and D.Z. Freedman, Stability in Gauged Extended Supergravity, Ann. Phys. 144 (1982) 249 [SPIRES].
P. Breitenlohner and D.Z. Freedman, Positive Energy in anti-de Sitter Backgrounds and Gauged Extended Supergravity, Phys. Lett. B 115 (1982) 197 [SPIRES].
S.-W. Kim, W.T. Kim and J.J. Oh, Decay Rate and Low Energy Near Horizon Dynamics of Acoustic Black Holes, Phys. Lett. B 608 (2005) 10 [gr-qc/0409003] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Campuzano, C., Gonzalez, P., Rojas, E. et al. Greybody factors for topological massless black holes. J. High Energ. Phys. 2010, 103 (2010). https://doi.org/10.1007/JHEP06(2010)103
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP06(2010)103