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Related papers: Self-Gravitating Bjorken Flow

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The contribution presents a brief summary of the Gauge/Gravity approach to the study of hydrodynamic flow of the quark-gluon plasma formed in heavy-ion collisions, in a boost-invariant setting (Bjorken flow). Considering the ideal case of a…

High Energy Physics - Phenomenology · Physics 2014-11-20 R. A. Janik , Robi Peschanski

We investigate the magnetohydrodynamics in the presence of an external magnetic field following the power-law decay in proper time and having spatial inhomogeneity characterized by a Gaussian distribution in one of transverse coordinates…

Nuclear Theory · Physics 2016-04-20 Shi Pu , Di-Lun Yang

We present an exact solution of the relativistic Boltzmann equation for a system undergoing boost-invariant longitudinal and azimuthally symmetric transverse flow ("Gubser flow"). The resulting exact non-equilibrium dynamics is compared to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Gabriel S. Denicol , Ulrich W. Heinz , Mauricio Martinez , Jorge Noronha , Michael Strickland

We expand previous work on an inverse approach to Einstein Field Equations where we include fluids with energy flux and consider the vanishing of the anisotropic stress tensor. We consider the approach using warped product spacetimes of…

General Relativity and Quantum Cosmology · Physics 2011-02-01 James Richardson , Mustapha Ishak

In the context of the longitudinally boost-invariant Bjorken flow with transverse expansion, we use three different numerical methods to analyze the emergence of attractor solutions in an ideal gas of massless particles exhibiting constant…

Nuclear Theory · Physics 2021-12-21 Victor E. Ambrus , Sergiu Busuioc , Jan A. Fotakis , Kai Gallmeister , Carsten Greiner

This paper deals with the evolution of the Einstein gravitational fields which are coupled to a perfect fluid. We consider the Einstein--Euler system in asymptotically flat spacestimes and therefore use the condition that the energy density…

Analysis of PDEs · Mathematics 2013-05-10 Uwe Brauer , Lavi Karp

The full set of equations governing the structure and the evolution of self--gravitating spherically symmetric dissipative fluids with anisotropic stresses, is written down in terms of five scalar quantities obtained from the orthogonal…

General Relativity and Quantum Cosmology · Physics 2011-07-19 L. Herrera , J. Ospino , A. Di Prisco , E. Fuenmayor , O. Troconis

We study the one-dimensional, longitudinally boost-invariant motion of an ideal fluid with infinite conductivity in the presence of a transverse magnetic field, i.e., in the ideal transverse magnetohydrodynamical limit. In an extension of…

Nuclear Theory · Physics 2016-04-27 Shi Pu , Victor Roy , Luciano Rezzolla , Dirk H. Rischke

Through a complex shift of the time coordinate, a modification of Bjorken flow is introduced which interpolates between a glasma-like stress tensor at forward rapidities and Bjorken-like hydrodynamics around mid-rapidity. A Landau-like…

High Energy Physics - Theory · Physics 2013-05-30 Steven S. Gubser

We consider a large black hole in asymptotically AdS spacetime of arbitrary dimension with a Minkowski boundary. By performing an appropriate slicing as we approach the boundary, we obtain via holographic renormalization a gauge theory…

High Energy Physics - Theory · Physics 2008-11-26 James Alsup , George Siopsis

One of the challenges when simulating astrophysical flows with self-gravity is to compute the gravitational forces. In contrast to the hyperbolic hydrodynamic equations, the gravity field is described by an elliptic Poisson equation. We…

Numerical Analysis · Mathematics 2021-06-30 Michael Schlottke-Lakemper , Andrew R. Winters , Hendrik Ranocha , Gregor J. Gassner

We construct a novel Wetterich-type functional renormalization group equation for gravity which encodes the gravitational degrees of freedom in terms of gauge-invariant fluctuation fields. Applying a linear-geometric approximation the…

High Energy Physics - Theory · Physics 2015-04-30 Maximilian Demmel , Frank Saueressig , Omar Zanusso

I explain a generalization of Bjorken flow where the medium has finite transverse size and expands both radially and along the beam axis. If one assumes that the equations of viscous hydrodynamics can be used, with p=epsilon/3 and zero bulk…

High Energy Physics - Theory · Physics 2015-03-17 Steven S. Gubser

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

We show that a flow (timelike congruence) in any type $B_{1}$ warped product spacetime is uniquely and algorithmically determined by the condition of zero flux. (Though restricted, these spaces include many cases of interest.) The flow is…

General Relativity and Quantum Cosmology · Physics 2011-02-01 Mustapha Ishak , Kayll Lake

In the initial stage of relativistic heavy-ion collisions, strong magnetic fields appear due to the large velocity of the colliding charges. The evolution of these fields appears as a novel and intriguing feature in the fluid-dynamical…

Nuclear Theory · Physics 2016-06-03 Victor Roy , Shi Pu , Luciano Rezzolla , Dirk Rischke

In this paper, we study the dynamical irregularity of the locally anisotropic spherical fluids in the context of Einstein-Gauss-Bonnet theory. We aim to describe the causes of energy-density irregularity of self-gravitating fluids and…

General Relativity and Quantum Cosmology · Physics 2025-09-03 Z. Yousaf , Kazuharu Bamba , Mansoor Alshehri , A. Farhat

This study investigates the evolution of quark gluon plasma (QGP) within a generalized Bjorken flow framework. The medium under consideration is assumed to possess a finite transverse size and to expand both radially and along the beam…

Nuclear Theory · Physics 2023-08-22 M. Karimabadi , A. F. Kord , B. Azadegan

We consider self-gravitating fluids in cosmological spacetimes with Gowdy symmetry on the torus $T^3$ and, in this class, we solve the singular initial value problem for the Einstein-Euler system of general relativity, when an initial data…

General Relativity and Quantum Cosmology · Physics 2017-12-11 Florian Beyer , Philippe G. LeFloch

In this work we provide analytic and numerical solutions for the Bjorken flow, a standard benchmark in relativistic hydrodynamics providing a simple model for the bulk evolution of matter created in collisions between heavy nuclei. We…

Nuclear Theory · Physics 2025-02-27 Daniele Simeoni , Alessandro Gabbana , Sauro Succi
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