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Using the non-relativistic hydrodynamic expansion, we solve equations of motion for Einstein gravity and Gauss-Bonnet gravity with a negative cosmological constant within the region between a finite cutoff surface and a black brane horizon,…

High Energy Physics - Theory · Physics 2011-07-21 Rong-Gen Cai , Li Li , Yun-Long Zhang

The holographic charged fluid with anomalous current in Einstein-Maxwell gravity has been generalized from the infinite boundary to the finite cutoff surface by using the gravity/fluid correspondence. After perturbing the boosted…

High Energy Physics - Theory · Physics 2014-07-01 Xiaojian Bai , Ya-Peng Hu , Bum-Hoon Lee , Yun-Long Zhang

We study the thermodynamics and non-relativistic hydrodynamics of the holographic fluid on a finite cutoff surface in the Gauss-Bonnet gravity. It is shown that the isentropic flow of the fluid is equivalent to a radial component of…

High Energy Physics - Theory · Physics 2012-08-06 Rong-Gen Cai , Li Li , Zhang-Yu Nie , Yun-Long Zhang

The dual fluid description for a general cutoff surface at radius r=r_c outside the horizon in the charged AdS black brane bulk space-time is investigated, first in the Einstein-Maxwell theory. Under the non-relativistic long-wavelength…

High Energy Physics - Theory · Physics 2012-04-27 Chao Niu , Yu Tian , Xiao-Ning Wu , Yi Ling

The problem of gravitational fluctuations confined inside a finite cutoff at radius $r=r_c$ outside the horizon in a general class of black hole geometries is considered. Consistent boundary conditions at both the cutoff surface and the…

High Energy Physics - Theory · Physics 2011-09-30 Irene Bredberg , Cynthia Keeler , Vyacheslav Lysov , Andrew Strominger

Based on the previous paper arXiv:1207.5309, we investigate the possibility to find out the bulk viscosity of dual fluid at the finite cutoff surface via gravity/fluid correspondence in Einstein-Maxwell gravity. We find that if we adopt new…

High Energy Physics - Theory · Physics 2014-04-15 Ya-Peng Hu , Yu Tian , Xiao-Ning Wu

We discuss the $(2+1)$-dimensional parity violating charged fluid on a finite cutoff surface $\Sigma_c$, dual to the nondynamical and dynamical Chern-Simons (CS) modified gravities. Using nonrelativistic long-wavelength expansion method,…

High Energy Physics - Theory · Physics 2015-06-16 De-Cheng Zou , Yunqi Liu , Bin Wang

For any spherically symmetric black hole spacetime with an ideal fluid source, we establish a dual fluid system on a hypersurface near the black hole horizon. The dual fluid is incompressible and obeys Navier-Stokes equation subject to some…

High Energy Physics - Theory · Physics 2015-06-15 Bin Wu , Liu Zhao

We study the holographic dual of a massive gravity with Gauss-Bonnet and cubic quasi-topological higher curvature terms. Firstly, we find the energy-momentum two-point function of the 4-dimensional boundary theory where the massive term…

High Energy Physics - Theory · Physics 2019-01-31 Shahrokh Parvizi , Mehdi Sadeghi

Recent works have demonstrated that one can construct a (d+2) dimensional solution of the vacuum Einstein equations that is dual to a (d+1) dimensional fluid satisfying the incompressible Navier-Stokes equations. In one important example,…

High Energy Physics - Theory · Physics 2011-08-05 Goffredo Chirco , Christopher Eling , Stefano Liberati

In (2+1)-dimensional hydrodynamic systems with broken parity, the shear and bulk viscosity is joined by the Hall viscosity and curl viscosity. The dual holographic model has been constructed by coupling a pseudo scalar to the gravitational…

High Energy Physics - Theory · Physics 2012-12-17 Rong-Gen Cai , Tian-Jun Li , Yong-Hui Qi , Yun-Long Zhang

We study the gravitational Dirichlet problem in AdS spacetimes with a view to understanding the boundary CFT interpretation. We define the problem as bulk Einstein's equations with Dirichlet boundary conditions on fixed timelike cut-off…

High Energy Physics - Theory · Physics 2015-05-28 Daniel K. Brattan , Joan Camps , R. Loganayagam , Mukund Rangamani

We study a general D-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…

High Energy Physics - Theory · Physics 2015-03-20 Chanyong Park

We present a construction of a (d+2)-dimensional Ricci-flat metric corresponding to a (d+1)-dimensional relativistic fluid, representing holographically the hydrodynamic regime of a (putative) dual theory. We show how to obtain the metric…

High Energy Physics - Theory · Physics 2012-04-04 Geoffrey Compère , Paul McFadden , Kostas Skenderis , Marika Taylor

In this paper, we investigate the fluid/gravity correspondence in the framework of massive Einstein gravity. Treating the gravitational mass terms as an effective energy-momentum tensor and utilizing the Petrov-like boundary condition on a…

High Energy Physics - Theory · Physics 2016-11-18 Wen-Jian Pan , Yong-Chang Huang

We have examined holographic renormalization group($RG$) flows of the shear viscosities in anisotropic holographic superfluids via their gravity duals, Einstein-SU(2) Yang-Mills system. In anisotropic phase, below the critical temperature…

High Energy Physics - Theory · Physics 2012-06-27 Jae-Hyuk Oh

We calculate the ratio of shear viscosity to entropy density for charged black branes in third order Lovelock theory. For chargeless black branes, the result turns out to be consistent with the prediction made in $\rm arXiv:0808.3498[\rm…

High Energy Physics - Theory · Physics 2009-11-17 Xian-Hui Ge , Sang-Jin Sin , Shao-Feng Wu , Guo-Hong Yang

We consider long wavelength solutions to the Einstein-dilaton system with negative cosmological constant which are dual, under the AdS/CFT correspondence, to solutions of the conformal relativistic Navier-Stokes equations with a…

High Energy Physics - Theory · Physics 2015-06-17 T. Ashok

We compute holographic R\'enyi entropies for spherical entangling surfaces on the boundary while considering third order Lovelock gravity with negative cosmological constant in the bulk. Our study shows that third order Lovelock black holes…

High Energy Physics - Theory · Physics 2017-09-13 V. Giangreco M. Puletti , R. Pourhasan

We present an algorithm for systematically reconstructing a solution of the (d+2)-dimensional vacuum Einstein equations from a (d+1)-dimensional fluid, extending the non-relativistic hydrodynamic expansion of Bredberg et al in…

High Energy Physics - Theory · Physics 2012-04-04 Geoffrey Compère , Paul McFadden , Kostas Skenderis , Marika Taylor
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