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We find the membrane equations which describe the leading order in $1/D$ dynamics of black holes in the $D\rightarrow\infty$ limit for the most general four-derivative theory of gravity in the presence of a cosmological constant. We work up…

High Energy Physics - Theory · Physics 2019-09-04 Aditya Kar , Taniya Mandal , Arunabha Saha

Despite the viscosity of a fluid ranges over several orders of magnitudes and is extremely sensitive to microscopic structure and molecular interactions, it has been conjectured that its (opportunely normalized) minimum displays a universal…

High Energy Physics - Theory · Physics 2022-06-28 Matteo Baggioli , Li Li , Hao-Tian Sun

In arXiv:1508.01343 [hep-th], one of the authors proposed that in AdS/CFT the gravity dual of the boundary $c$-theorem is the second law of thermodynamics satisfied by causal horizons in AdS and this was verified for Einstein gravity in the…

High Energy Physics - Theory · Physics 2016-05-30 Shamik Banerjee , Arpan Bhattacharyya

We elaborate on the proposed general boundary formulation as an extension of standard quantum mechanics to arbitrary (or no) backgrounds. Temporal transition amplitudes are generalized to amplitudes for arbitrary spacetime regions. State…

High Energy Physics - Theory · Physics 2018-01-24 Robert Oeckl

The ratio between the shear viscosity and the entropy $\eta/s$ is considered a universal measure of the strength of interactions in quantum systems. This quantity was conjectured to have a universal lower bound $(1/4\pi)\hbar/k_{B}$, which…

Strongly Correlated Electrons · Physics 2021-07-07 Sang Wook Kim , Geo Jose , Bruno Uchoa

In Einstein-aether theory, violating Lorentz invariance permits some super-luminal communications, and the universal horizon can trap excitations traveling at arbitrarily high velocities. To better understand the nature of these universal…

General Relativity and Quantum Cosmology · Physics 2017-03-28 Chikun Ding , Changqing Liu

We show that at any temperature, the low-energy (with respect to the chemical potential) collective excitations of the transverse components of the energy-momentum tensor and the global U(1) current in the field theory dual to the planar…

High Energy Physics - Theory · Physics 2013-07-11 Richard A. Davison , Andrei Parnachev

Kovtun, Son and Starinets proposed a bound on the shear viscosity of any fluid in terms of its entropy density. We argue that this bound is always saturated for gauge theories at large 't Hooft coupling, which admit holographically dual…

High Energy Physics - Theory · Physics 2011-07-18 Alex Buchel , James T. Liu

We consider a brane-universe in the background of an Anti-de Sitter/ Schwarschild geometry. We show that the induced geometry of the brane is exactly given by that of a standard radiation dominated FRW-universe. The radiation is represented…

High Energy Physics - Theory · Physics 2014-11-18 Ivo Savonije , Erik Verlinde

Working within the approximation of small amplitude expansion, recently an entropy current has been constructed on the horizons of dynamical black hole solution in any higher derivative theory of gravity. In this note, we have dualized this…

High Energy Physics - Theory · Physics 2024-03-13 Chandranathan A , Sayantani Bhattacharyya , Milan Patra , Shuvayu Roy

We study the properties of the holographic CFT dual to Gauss-Bonnet gravity in general $D \ge 5$ dimensions. We establish the AdS/CFT dictionary and in particular relate the couplings of the gravitational theory to the universal couplings…

High Energy Physics - Theory · Physics 2010-06-01 Alex Buchel , Jorge Escobedo , Robert C. Myers , Miguel F. Paulos , Aninda Sinha , Michael Smolkin

We show that the complex saddle points of the no-boundary wave function with a positive cosmological constant and a positive scalar potential have a representation in which the geometry consists of a regular Euclidean AdS domain wall that…

High Energy Physics - Theory · Physics 2015-06-03 Thomas Hertog , James Hartle

We study the membrane paradigm for horizons in Lanczos-Lovelock models of gravity in arbitrary D dimensions and find compact expressions for the pressure p and viscosity coefficients \eta and \zeta of the membrane fluid. We show that the…

General Relativity and Quantum Cosmology · Physics 2012-02-27 Sanved Kolekar , Dawood Kothawala

This work extends previous 1D irreversible port-Hamiltonian system (IPHS) formulations to boundary-controlled ND distributed parameter systems describing conduction-diffusion fluid phenomena. Within a unified and thermodynamically…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Luis Mora , Yann Le Gorrec , Hector Ramirez , Denis Matignon

We propose, in the framework of the fluid/gravity correspondence, a definition for a local horizon entropy current for higher-curvature gravitational theories. The current is well-defined to first order in fluid gradients for general…

High Energy Physics - Theory · Physics 2013-10-09 Shira Chapman , Yasha Neiman , Yaron Oz

We derive universal properties of the near-horizon geometry of spherically symmetric black holes that follow from the observability of a regular apparent horizon. Only two types of solutions are admissible. After reviewing their properties…

General Relativity and Quantum Cosmology · Physics 2021-04-01 Sebastian Murk , Daniel R. Terno

Bounds on transport represent a way of understanding allowable regimes of quantum and classical dynamics. Numerous such bounds have been proposed, either for classes of theories or (by using general arguments) universally for all theories.…

High Energy Physics - Theory · Physics 2021-02-05 Sašo Grozdanov

The justification of hydrodynamic limits in non-convex domains has long been an open problem due to the singularity at the grazing set. In this paper, we investigate the unsteady neutron transport equation in a general bounded domain with…

Analysis of PDEs · Mathematics 2023-03-28 Zhimeng Ouyang

We study large traveling surface waves within a two-dimensional finite depth, free boundary, homogeneous, incompressible and viscous fluid governed by Darcy's law. The fluid is bound by a gravitational force to a flat rigid bottom and meets…

Analysis of PDEs · Mathematics 2026-01-21 Huy Q. Nguyen , Noah Stevenson

This paper is concerned with a compressible MHD equations describing the evolution of viscous non-resistive fluids in piecewise regular bounded Lipschitz domains. Under the general inflow-outflow boundary conditions, we prove existence of…

Analysis of PDEs · Mathematics 2025-01-28 Yang Li , Young-Sam Kwon , Yongzhong Sun
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