Built on

C. P. Herzog, Lectures on Holographic Superfluidity and Superconductivity
Original
1975
Earlier work this paper cites.
E. W. Leaver, Quasinormal modes of Reissner-Nordstrom black holes
1990
Earlier work this paper cites.
E. S. C. Ching, P. T. Leung, W. M. Suen, and K. Young, Wave propagation in gravitational systems: Late time behavior
1995
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, Charged AdS black holes and catastrophic holography
1999
Earlier work this paper cites.
P. Kraus, F. Larsen, and R. Siebelink, The gravitational action in asymptotically AdS and flat spacetimes
1999
Earlier work this paper cites.
G. T. Horowitz and V. E. Hubeny, Quasinormal modes of AdS black holes and the approach to thermal equilibrium
2000
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications
2002
Earlier work this paper cites.
D. Birmingham, I. Sachs, and S. N. Solodukhin, Conformal field theory interpretation of black hole quasi- normal modes
2002
Earlier work this paper cites.

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E. Berti and K. D. Kokkotas, Quasinormal modes of Reissner-Nordstroem-anti-de Sitter black holes: Scalar, electromagnetic and gravitational perturbations
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Then

A. S. Miranda, J. Morgan, and V. T. Zanchin, Quasinormal modes of plane-symmetric black holes according to the AdS/CFT correspondence
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2008
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I. Amado, C. Hoyos-Badajoz, K. Landsteiner, and S. Montero, Residues of Correlators in the Strongly Coupled N=4 Plasma
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S. A. Hartnoll, Lectures on holographic methods for condensed matter physics
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2009
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E. Berti, V. Cardoso, and A. O. Starinets, Quasinormal modes of black holes and black branes
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F. Denef, S. A. Hartnoll, and S. Sachdev, Quantum oscillations and black hole ringing

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2010

Holography and the sound of criticality

Edalati, Mohammad, Jottar, Juan I., Leigh, Robert G.

Understand

Using gauge/gravity duality techniques, we discuss the sound-channel retarded correlators of vector and tensor conserved currents in a class of $(2+1)$-dimensional strongly-coupled field theories at zero temperature and finite charge density, assumed to be holographically dual to the extremal Reissner-Nordstr\"{o}m AdS$_4$ black hole.

Using a combination of analytical and numerical methods, we determine the quasinormal mode spectrum at finite momentum for the coupled gravitational and electromagnetic perturbations, and discuss the appropriate choice of gauge-invariant variables (master fields) in order for the black hole quasinormal frequencies to reproduce the field theory spectrum.
We discuss the role of the near horizon AdS$_{2}$ geometry in determining the low-frequency behavior of retarded correlators in the boundary theory, and comment on the emergence of criticality in the IR.
In addition, we establish the existence of a sound mode at zero temperature and compute the speed of sound and sound attenuation constant numerically, obtaining a result consistent with the expectations from the zero temperature limit of hydrodynamics.

Built on

C. P. Herzog, Lectures on Holographic Superfluidity and Superconductivity
Original
1975
Earlier work this paper cites.
E. W. Leaver, Quasinormal modes of Reissner-Nordstrom black holes
1990
Earlier work this paper cites.
E. S. C. Ching, P. T. Leung, W. M. Suen, and K. Young, Wave propagation in gravitational systems: Late time behavior
1995
Earlier work this paper cites.
A. Chamblin, R. Emparan, C. V. Johnson, and R. C. Myers, Charged AdS black holes and catastrophic holography
1999
Earlier work this paper cites.
P. Kraus, F. Larsen, and R. Siebelink, The gravitational action in asymptotically AdS and flat spacetimes
1999
Earlier work this paper cites.
G. T. Horowitz and V. E. Hubeny, Quasinormal modes of AdS black holes and the approach to thermal equilibrium
2000
Earlier work this paper cites.
D. T. Son and A. O. Starinets, Minkowski-space correlators in AdS/CFT correspondence: Recipe and applications
2002
Earlier work this paper cites.
D. Birmingham, I. Sachs, and S. N. Solodukhin, Conformal field theory interpretation of black hole quasi- normal modes
2002
Earlier work this paper cites.

Similar

E. Berti and K. D. Kokkotas, Quasinormal modes of Reissner-Nordstroem-anti-de Sitter black holes: Scalar, electromagnetic and gravitational perturbations
2003
Cited alongside, same era.
H. Kodama and A. Ishibashi, Master equations for perturbations of generalized static black holes with charge in higher dimensions
2004
Cited alongside, same era.
P. K. Kovtun and A. O. Starinets, Quasinormal modes and holography
2005
Cited alongside, same era.
D. T. Son and A. O. Starinets, Hydrodynamics of R-charged black holes
2006
Cited alongside, same era.
D. T. Son and A. O. Starinets, Viscosity, Black Holes, and Quantum Field Theory
Original
2007
Cited alongside, same era.