scholarly journals Black-brane solution for C2 algebra

2002 ◽  
Vol 43 (12) ◽  
pp. 6016-6023 ◽  
Author(s):  
M. A. Grebeniuk ◽  
V. D. Ivashchuk ◽  
S.-W. Kim
Keyword(s):  
Black Brane ◽  
Black Brane Solution ◽  
Brane Solution

scholarly journals The effect of bulk dimension in the presence of string cloud on viscosity bound

2020 ◽  
pp. 2050330
Author(s):  
Mehdi Sadeghi
Keyword(s):  
Shear Viscosity ◽  
Dirichlet Boundary ◽  
Massive Gravity ◽  
Entropy Density ◽  
Black Brane ◽  
Black Brane Solution ◽  
Brane Solution ◽  
Arbitrary Dimensions

In this paper, the Einstein AdS black brane solution in the presence of a string cloud in the context of d-dimensional massive gravity is introduced. The ratio of shear viscosity to entropy density for this solution violates the KSS bound by applying the Dirichlet boundary and regularity on the horizon conditions. Our result shows that this value is independent of string cloud in any arbitrary dimensions.

scholarly journals Black-brane solution for A3 algebra

2002 ◽  
Vol 543 (1-2) ◽  
pp. 98-106 ◽  
Author(s):  
M.A. Grebeniuk ◽  
V.D. Ivashchuk ◽  
V.N. Melnikov
Keyword(s):  
Black Brane ◽  
Black Brane Solution ◽  
Brane Solution

scholarly journals Black brane solution in Rastall AdS massive gravity and viscosity bound

2018 ◽  
Vol 33 (37) ◽  
pp. 1850220 ◽  
Author(s):  
Mehdi Sadeghi
Keyword(s):  
Shear Viscosity ◽  
Massive Gravity ◽  
Entropy Density ◽  
Black Brane ◽  
Black Brane Solution ◽  
Brane Solution

In this paper, we introduced the black brane solution in Rastall theory and in the context of massive gravity. The ratio of shear viscosity to entropy density is calculated for this solution. Our result shows that the KSS bound violates this theory.

THE FLUID–GRAVITY CORRESPONDENCE: THE MEMBRANE AT THE END OF THE UNIVERSE

2008 ◽  
Vol 17 (13n14) ◽  
pp. 2571-2576 ◽  
Author(s):  
VERONIKA E. HUBENY ◽  
MUKUND RANGAMANI ◽  
SHIRAZ MINWALLA ◽  
MARK VAN RAAMSDONK
Keyword(s):  
Fluid Dynamics ◽  
Black Holes ◽  
Lower Dimension ◽  
Black Brane ◽  
Entire Space ◽  
Dynamical Equations ◽  
Black Brane Solution ◽  
Brane Solution ◽  
Regular Event ◽  
The Universe

We establish an explicit connection between the evolution of generic inhomogeneous black brane solutions in asymptotically AdS space–times and the evolution of relativistic conformal fluids in one lower dimension. Specifically, given any solution to a particular set of fluid-dynamical equations, one can construct an inhomogeneous black brane solution with a regular event horizon. This connection is reminiscent of the membrane paradigm for black holes; in our case the dynamics of the entire space–time is encoded in a fluid living at the boundary. This fluid–gravity correspondence leads to interesting implications for both gravitational physics and fluid dynamics.

scholarly journals AdS black brane solution surrounded by quintessence in massive gravity and KSS bound

2021 ◽  
pp. 2150202
Author(s):  
Mehdi Sadeghi
Keyword(s):  
Shear Viscosity ◽  
Dirichlet Boundary ◽  
Massive Gravity ◽  
Entropy Density ◽  
Regularity Conditions ◽  
Black Brane ◽  
Black Brane Solution ◽  
Brane Solution ◽  
Arbitrary Dimensions

In this paper, the Einstein AdS black brane solution in the presence of quintessence in context of massive gravity is introduced. The ratio of shear viscosity to entropy density for this solution violates the KSS bound by applying the Dirichlet boundary and regularity conditions on the horizon for [Formula: see text]. Our result shows that this value is independent of quintessence in any arbitrary dimensions.

scholarly journals Holographic Aspects of a Relativistic Nonconformal Theory

2013 ◽  
Vol 2013 ◽  
pp. 1-16 ◽  
Author(s):  
Chanyong Park
Keyword(s):  
Entanglement Entropy ◽  
Transport Coefficients ◽  
Kubo Formula ◽  
Conformal Theory ◽  
Holographic Entanglement Entropy ◽  
Black Brane Solution ◽  
Brane Solution ◽  
Gauge Gravity ◽  
Gravity Duality ◽  
Self Consistency

We study a generalD-dimensional Schwarzschild-type black brane solution of the Einstein-dilaton theory and derive, by using the holographic renormalization, its thermodynamics consistent with the geometric results. Using the membrane paradigm, we calculate the several hydrodynamic transport coefficients and compare them with the results obtained by the Kubo formula, which shows the self-consistency of the gauge/gravity duality in the relativistic nonconformal theory. In order to understand more about the relativistic non-conformal theory, we further investigate the binding energy, drag force, and holographic entanglement entropy of the relativistic non-conformal theory.

scholarly journals Correlation functions in finite temperature CFT and black hole singularities

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
D. Rodriguez-Gomez ◽  
J.G. Russo
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Correlation Functions ◽  
Finite Temperature ◽  
Proper Time ◽  
Black Brane ◽  
Point Function ◽  
Black Hole Singularity ◽  
Point Correlation ◽  
Scaling Dimension

Abstract We compute thermal 2-point correlation functions in the black brane AdS5 background dual to 4d CFT’s at finite temperature for operators of large scaling dimension. We find a formula that matches the expected structure of the OPE. It exhibits an exponentiation property, whose origin we explain. We also compute the first correction to the two-point function due to graviton emission, which encodes the proper time from the event horizon to the black hole singularity.

scholarly journals Constraints on quasinormal modes and bounds for critical points from pole-skipping

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Navid Abbasi ◽  
Matthias Kaminski
Keyword(s):  
Critical Points ◽  
Thermal State ◽  
Quasinormal Modes ◽  
Scalar Perturbation ◽  
Black Brane ◽  
Massive Scalar ◽  
Dual Operator ◽  
Conformal Dimension ◽  
Scalar Operator ◽  
First Time

Abstract We consider a holographic thermal state and perturb it by a scalar operator whose associated real-time Green’s function has only gapped poles. These gapped poles correspond to the non-hydrodynamic quasinormal modes of a massive scalar perturbation around a Schwarzschild black brane. Relations between pole-skipping points, critical points and quasinormal modes in general emerge when the mass of the scalar and hence the dual operator dimension is varied. First, this novel analysis reveals a relation between the location of a mode in the infinite tower of quasinormal modes and the number of pole-skipping points constraining its dispersion relation at imaginary momenta. Second, for the first time, we consider the radii of convergence of the derivative expansions about the gapped quasinormal modes. These convergence radii turn out to be bounded from above by the set of all pole-skipping points. Furthermore, a transition between two distinct classes of critical points occurs at a particular value for the conformal dimension, implying close relations between critical points and pole-skipping points in one of those two classes. We show numerically that all of our results are also true for gapped modes of vector and tensor operators.

scholarly journals Phase transitions from the fifth dimension

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Kaustubh Agashe ◽  
Peizhi Du ◽  
Majid Ekhterachian ◽  
Soubhik Kumar ◽  
Raman Sundrum
Keyword(s):  
Bubble Dynamics ◽  
Effective Field ◽  
Bubble Nucleation ◽  
Thin Wall ◽  
Black Brane ◽  
Composite Higgs ◽  
Fifth Dimension ◽  
Two Phases ◽  
Holographic Description ◽  
The Impact

Abstract We study the cosmological transition of 5D warped compactifications, from the high-temperature black-brane phase to the low-temperature Randall-Sundrum I phase. The transition proceeds via percolation of bubbles of IR-brane nucleating from the black-brane horizon. The violent bubble dynamics can be a powerful source of observable stochastic gravitational waves. While bubble nucleation is non-perturbative in 5D gravity, it is amenable to semiclassical treatment in terms of a “bounce” configuration interpolating between the two phases. We demonstrate how such a bounce configuration can be smooth enough to maintain 5D effective field theory control, and how a simple ansatz for it places a rigorous lower-bound on the transition rate in the thin-wall regime, and gives plausible estimates more generally. When applied to the Hierarchy Problem, the minimal Goldberger-Wise stabilization of the warped throat leads to a slow transition with significant supercooling. We demonstrate that a simple generalization of the Goldberger-Wise potential modifies the IR-brane dynamics so that the transition completes more promptly. Supercooling determines the dilution of any (dark) matter abundances generated before the transition, potentially at odds with data, while the prompter transition resolves such tensions. We discuss the impact of the different possibilities on the strength of the gravitational wave signals. Via AdS/CFT duality the warped transition gives a theoretically tractable holographic description of the 4D Composite Higgs (de)confinement transition. Our generalization of the Goldberger-Wise mechanism is dual to, and concretely models, our earlier proposal in which the composite dynamics is governed by separate UV and IR RG fixed points. The smooth 5D bounce configuration we introduce complements the 4D dilaton/radion dominance derivation presented in our earlier work.

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