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Fluid flows are typically studied by solving the Navier--Stokes equation. One of the fundamental assumptions of this equation is Stokes' hypothesis. This hypothesis assumes bulk viscosity, to be identically zero. The Stokes' hypothesis is a…

流体动力学 · 物理学 2023-03-16 Bhanuday Sharma , Rakesh Kumar

For many years researchers have tried to glean hints about quantum gravity from black hole thermodynamics. However, black hole thermodynamics suffers from the problem of Universality --- at leading order, several approaches with different…

广义相对论与量子宇宙学 · 物理学 2017-01-11 Bethan Cropp , Swastik Bhattacharya , S. Shankaranarayanan

Hydro-kinetic theory of thermal fluctuations is applied to a non-conformal relativistic fluid. Solving the hydro-kinetic equations for an isotropically expanding background we find that hydrodynamic fluctuations give ultraviolet divergent…

核理论 · 物理学 2018-08-21 Yukinao Akamatsu , Aleksas Mazeliauskas , Derek Teaney

By foliating the four-dimensional C-metric black hole spacetime, we consider a kind of initial-value-like formulation of the vacuum Einstein's equation, the holographic initial data is a double consisting of the induced metric and the…

广义相对论与量子宇宙学 · 物理学 2017-04-07 Xin Hao , Bin Wu , Liu Zhao

This paper delineates the first steps in a systematic quantitative study of the spacetime fluctuations induced by quantum fields in an evaporating black hole. We explain how the stochastic gravity formalism can be a useful tool for that…

广义相对论与量子宇宙学 · 物理学 2008-11-26 B. L. Hu , Albert Roura

In the hydrodynamic theory, the non-equilibrium dynamics of a many-body system is approximated, at large scales of space and time, by irreversible relaxation to local entropy maximisation. This results in a convective equation corrected by…

统计力学 · 物理学 2025-12-02 Friedrich Hübner , Leonardo Biagetti , Jacopo De Nardis , Benjamin Doyon

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…

高能物理 - 理论 · 物理学 2015-06-15 Bin Wu , Liu Zhao

In this paper, we investigate the fluid/gravity correspondence in spacetime with general non-rotating weakly isolated horizon. With the help of Petrov-like boundary condition and large mean curvature limit, we show that the dual…

高能物理 - 理论 · 物理学 2015-06-15 Xiaoning Wu , Yi Ling , Yu Tian , Chengyong Zhang

The null horizon focusing equation is equivalent via the fluid/gravity correspondence to the entropy balance law of the fluid. Using this equation we derive a simple novel formula for the bulk viscosity of the fluid. The formula is…

高能物理 - 理论 · 物理学 2011-06-09 Christopher Eling , Yaron Oz

In a companion paper [1], we have presented a cross-correlation approach to near-horizon physics in which bulk dynamics is probed through the correlation of quantities defined at inner and outer spacetime hypersurfaces acting as test…

广义相对论与量子宇宙学 · 物理学 2012-05-08 José Luis Jaramillo , Rodrigo P. Macedo , Philipp Moesta , Luciano Rezzolla

Vacuum Einstein equations when projected on to a black hole horizon is analogous to the dynamics of fluids. In this work we address the question, whether certain properties of semi-classical black holes could be holographically mapped into…

高能物理 - 理论 · 物理学 2014-12-01 Swastik Bhattacharya , S. Shankaranarayanan

Starting from the fluctuating Boltzmann equation for smooth inelastic hard spheres or disks, closed equations for the fluctuating hydrodynamic fields to Navier-Stokes order are derived. This requires to derive constitutive relations for…

统计力学 · 物理学 2015-05-27 J. Javier Brey , P. Maynar , M. I. Garcia de Soria

We study several realistic configurations allowing to realize an acoustic horizon in the flow of a one dimensional Bose-Einstein condensate. In each case we give an analytical description of the flow pattern, of the spectrum of Hawking…

量子气体 · 物理学 2012-01-19 P. -É. Larré , A. Recati , I. Carusotto , N. Pavloff

General Relativity predicts the existence of black-holes. Access to the complete space-time manifold is required to describe the black-hole. This feature necessitates that black-hole dynamics is specified by future or teleological boundary…

广义相对论与量子宇宙学 · 物理学 2018-10-16 Swastik Bhattacharya , S. Shankaranarayanan

Exploring the possibility of describing a fluid flow via a time-reversible equation and its relevance for the fluctuations statistics in stationary turbulent (or laminar) incompressible Navier-Stokes flows.

流体动力学 · 物理学 2019-07-08 Giovanni Gallavotti

We study the reflectivity of quantum black hole (BH) horizons using detailed balance and fluctuation-dissipation theorem, finding a universal flux reflectivity given by the Boltzmann factor ${\mathcal R} = \exp\left(-{\hbar |\omega| \over k…

高能物理 - 理论 · 物理学 2020-04-15 Naritaka Oshita , Qingwen Wang , Niayesh Afshordi

The fluid/gravity correspondence establishes how gravitational dynamics, as dictated by Einstein's field equations, are related to the fluid dynamics, governed by the relativistic Navier-Stokes equations. In this work the correspondence is…

高能物理 - 理论 · 物理学 2021-11-09 A. J. Ferreira-Martins , R. da Rocha

Einstein equations projected on black-hole horizons give rise to the equations of motion of a viscous fluid. This suggests a way to understand the microscopic degrees of freedom on the black-hole horizon by focusing on the physics of this…

广义相对论与量子宇宙学 · 物理学 2023-01-30 Swastik Bhattacharya , S. Shankaranarayanan

Microscopic black holes explode with their temperature varying inversely as their mass. Such explosions would lead to the highest temperatures in the present universe, all the way to the Planck energy. Whether or not a quasi-stationary…

天体物理学 · 物理学 2008-11-26 J. I. Kapusta

A novel technique is used to compute the bulk viscosity of high temperature holographic gauge theory plasmas with softly broken conformal symmetry. Working in a black hole background which corresponds to a non-trivial solution to the…

高能物理 - 理论 · 物理学 2010-05-12 Amos Yarom
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