Quasinormal modes of AdS black holes and the approach to thermal equilibrium

Horowitz, Gary T.; Hubeny, Veronika E.

doi:10.1103/physrevd.62.024027

Cited by 871 publications

(1,479 citation statements)

References 32 publications

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“…In addition to these large r boundary conditions, we must also demand that our solution be smooth across the horizon at r = a in order to uniquely determine a solution. As shown in [19], this condition is equivalent to demanding the presence of purely ingoing modes at the future horizon.…”

Section: Jhep04(2009)048mentioning

confidence: 99%

Nonlinear magnetohydrodynamics from gravity

Hansen¹,

Kraus²

2009

J. High Energy Phys.

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We apply the recently established connection between nonlinear fluid dynamics and AdS gravity to the case of the dyonic black brane in AdS 4 . This yields the equations of fluid dynamics for a 2 + 1 dimensional charged fluid in a background magnetic field. We construct the gravity solution to second order in the derivative expansion. From this we find the fluid dynamical stress tensor and charge current to second and third order in derivatives respectively, along with values for the associated transport coefficients.

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Section: Jhep04(2009)048mentioning

confidence: 99%

Nonlinear magnetohydrodynamics from gravity

Hansen¹,

Kraus²

2009

J. High Energy Phys.

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“…Differentiating this equation with respect to τ and using τ t in the nonrelativistic limit, one gets 45) which is nothing but the Newton's law of gravitation. Thus, M in the Schwarzschild black hole (2.30) represents the black hole mass.…”

Section: Particle Motionmentioning

confidence: 99%

“…By the S 1 -compactification, the five-dimensional 13 Quasinormal mode computations are traditionally carried out for asymptotically flat black holes, and one imposes the "outgoing-wave" boundary condition at r → ∞. But it is natural to impose the Dirichlet condition for an asymptotically AdS spacetime [45] since the spacetime has a potential barrier by the cosmological constant (Sect. 6.2).…”

Section: Perturbation Equationmentioning

confidence: 99%

AdS/CFT Duality User Guide

Natsuume

2015

Lecture Notes in Physics

185

215

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This is the draft/updated version of a textbook on "real-world" applications of the AdS/CFT duality for beginning graduate students in particle physics and for researchers in the other fields. The aim of this book is to provide background materials such as string theory, general relativity, nuclear physics, nonequilibrium physics, and condensed-matter physics as well as some key applications of the AdS/CFT duality in a single textbook. Contents: (1) Introduction, (2) General relativity and black holes, (3) Black holes and thermodynamics, (4) Strong interaction and gauge theories, (5) The road to AdS/CFT, (6) The AdS spacetime, (7) AdS/CFT - equilibrium, (8) AdS/CFT - adding probes, (9) Basics of nonequilibrium physics, (10) AdS/CFT - nonequilibrium, (11) Other AdS spacetimes, (12) Applications to quark-gluon plasma, (13) Basics of phase transition, (14) AdS/CFT - phase transition, (15) Exercises.Comment: 309 pages. Comments welcome. Published edition is available from Springer (Lecture Notes in Physics 903). Translated from a Japanese book originally published in 2012; v2: various improvements; v3: minor corrections, v4: added materials & minor improvements after publication (see "Preface for the arXiv edition" for details). http://link.springer.com/book/10.1007/978-4-431-55441-

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“…From equation (3.29), we get that the Wronskian between Ψ I , Ψ II is W = aω(k)Ψ I /(r − r 0 ). Using (3.34) we then find that for r > r 0 , 48) where the function aω depends only on k = k 2 1 + k 2 2 + k 2 3 . At r ∼ r 0 , recall we have from eq.…”

Section: Yukawa-like Potential At Large Distancesmentioning

confidence: 99%

“…This method is an extension of a Frobenius expansion used originally in refs. [48][49][50] (see also ref. [44] for a review).…”

Section: Determination Of Eigenmodes By Frobenius Expansionsmentioning

confidence: 99%

Holographic collisions in confining theories

Cardoso

Matéos

Pani

et al. 2014

J. High Energ. Phys.

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Abstract:We study the gravitational dual of a high-energy collision in a confining gauge theory. We consider a linearized approach in which two point particles traveling in an AdSsoliton background suddenly collide to form an object at rest (presumably a black hole for large enough center-of-mass energies). The resulting radiation exhibits the features expected in a theory with a mass gap: late-time power law tails of the form t −3/2 , the failure of Huygens' principle and distortion of the wave pattern as it propagates. The energy spectrum is exponentially suppressed for frequencies smaller than the gauge theory mass gap. Consequently, we observe no memory effect in the gravitational waveforms. At larger frequencies the spectrum has an upward-stairway structure, which corresponds to the excitation of the tower of massive states in the confining gauge theory. We discuss the importance of phenomenological cutoffs to regularize the divergent spectrum, and the aspects of the full non-linear collision that are expected to be captured by our approach.

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Quasinormal modes of AdS black holes and the approach to thermal equilibrium

Cited by 871 publications

References 32 publications

Nonlinear magnetohydrodynamics from gravity

Nonlinear magnetohydrodynamics from gravity

AdS/CFT Duality User Guide

Holographic collisions in confining theories

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