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We conduct a numerical study of relativistic viscous fluid dynamics in the Density Frame for one-dimensional fluid flows. The Density Frame is a formulation of relativistic viscous hydrodynamics that is first-order in time, requires no…

Recently, a new cosmological framework, dubbed Ricci Cosmology, has been proposed. Such a framework has emerged from the study of relativistic dynamics of fluids out of equilibrium in a curved background and is characterised by the presence…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Roberto Caroli , Mariusz P. Dabrowski , Vincenzo Salzano

We note that the equations of relativistic hydrodynamics reduce to the incompressible Navier-Stokes equations in a particular scaling limit. In this limit boundary metric fluctuations of the underlying relativistic system turn into a…

High Energy Physics - Theory · Physics 2009-08-24 Sayantani Bhattacharyya , Shiraz Minwalla , Spenta R. Wadia

In this paper, the relativistic fluids with the negligible magnetic field in the flat metric are studied. The iso-dimension scale in introduced, in this scale, all similar components of a variable have the same dimension. Also, the…

High Energy Astrophysical Phenomena · Physics 2020-10-07 Mahboobe Moeen Moghaddas

The shear viscosity is a fundamental transport property of matter. Here we derive a general theory of the viscosity of gases based on the relativistic Langevin equation (deduced from a relativistic Lagrangian) and nonaffine linear response…

High Energy Physics - Phenomenology · Physics 2024-11-08 Alessio Zaccone

A new set of equations for relativistic viscous hydrodynamics that captures both weak-coupling and strong-coupling physics to second order in gradients has been developed recently. We apply this framework to bulk physics at RHIC, both for…

Nuclear Theory · Physics 2014-11-18 Matthew Luzum , Paul Romatschke

We study relativistic hydrodynamics of normal fluids in two spatial dimensions. When the microscopic theory breaks parity, extra transport coefficients appear in the hydrodynamic regime, including the Hall viscosity, and the anomalous Hall…

High Energy Physics - Theory · Physics 2013-11-27 Kristan Jensen , Matthias Kaminski , Pavel Kovtun , Rene Meyer , Adam Ritz , Amos Yarom

The Petrov type I condition for the solutions of vacuum Einstein equations in both of the non-relativistic and relativistic hydrodynamic expansions is checked. We show that it holds up to the third order of the non-relativistic hydrodynamic…

High Energy Physics - Theory · Physics 2014-08-29 Rong-Gen Cai , Qing Yang , Yun-Long Zhang

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized…

High Energy Physics - Phenomenology · Physics 2010-03-02 Paul Romatschke

In this talk r-form fields in spacetimes of any dimension D are considered (r<D). The weak-field Newtonian-type limit of Einstein's equations, in general, with relativistic sources is studied in the static case yielding a revision of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Nikolai V. Mitskievich

Using a simple and well-motivated modification of the stress-energy tensor for a viscous fluid proposed by Lichnerowicz, we prove that Einstein's equations coupled to a relativistic version of the Navier-Stokes equations are well-posed in a…

Mathematical Physics · Physics 2014-07-25 Marcelo M. Disconzi

We show that the relativistic gravity theory can offer a framework to formulate the non-relativistic effective field theory in a general coordinate invariant way. We focus on the parity violating case in 2+1 dimensions which is particularly…

High Energy Physics - Theory · Physics 2015-06-17 Chaolun Wu , Shao-Feng Wu

Hydrodynamics is nowadays understood as an effective field theory that describes the dynamics of the long-wavelength and slow-time fluctuations of an underlying microscopic theory. In this work we extend the relativistic hydrodynamics to…

High Energy Physics - Theory · Physics 2020-05-27 Saulo M. Diles , Luis A. H. Mamani , Alex S. Miranda , Vilson T. Zanchin

In this note we have compared two different perturbation techniques that could be used to generate solutions of Einstein's equations in presence of negative cosmological constant. One of these two methods is derivative expansion and the…

High Energy Physics - Theory · Physics 2019-06-05 Sayantani Bhattacharyya , Parthajit Biswas , Anirban Dinda , Milan Patra

We study uncharged Rindler hydrodynamics at second order in the derivative expansion. The equation of state of the theory is given by a vanishing equilibrium energy density. We derive relations among the transport coefficients by employing…

High Energy Physics - Theory · Physics 2015-06-15 Adiel Meyer , Yaron Oz

Via a straightforward integration of the Einstein equations with cosmological constant, all static circularly symmetric perfect fluid 2+1 solutions are derived. The structural functions of the metric depend on the energy density, which…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Alberto A. Garcia , Cuauhtemoc Campuzano

The duality of gravitational dynamics (projected on a null hypersurface) and of fluid dynamics is investigated for the scalar tensor (ST) theory of gravity. The description of ST gravity, in both Einstein and Jordan frames, is analyzed from…

High Energy Physics - Theory · Physics 2020-07-07 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi , Douglas Singleton

We introduce a variation of the classical Ricci flow equation that modifies the unit volume constraint of that equation to a scalar curvature constraint. The resulting equations are named the Conformal Ricci Flow Equations because of the…

Differential Geometry · Mathematics 2009-11-10 Arthur E. Fischer

The fluid/gravity correspondence relates solutions of the incompressible Navier-Stokes equation to metrics which solve the Einstein equations. In this paper we extend this duality to a new magnetohydrodynamics/gravity correspondence, which…

High Energy Physics - Theory · Physics 2013-10-17 Vyacheslav Lysov

It is easy to reason that gravity might be the effect of a fluid in disguise, as it will naturally arise in emergent gravity models where gravity is due to the effect of some fundamental particles, with the latter expected to behave…

General Relativity and Quantum Cosmology · Physics 2023-01-16 Jianwei Mei