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arXiv · 1711.07130

Metric anisotropies and emergent anisotropic hydrodynamics

Ashutosh Dash·Amaresh Jaiswal
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Abstract

Expansion of a locally equilibrated fluid is considered in an anisotropic space-time given by Bianchi type I metric. Starting from isotropic equilibrium phase-space distribution function in the local rest frame, we obtain expressions for components of the energy-momentum tensor and conserved current, such as number density, energy density and pressure components. In the case of an axis-symmetric Bianchi type I metric, we show that they are identical to that obtained within the setup of anisotropic hydrodynamics. We further consider the case when Bianchi type I metric is a vacuum solution of Einstein equation: the Kasner metric. For axis-symmetric Kasner metric, we discuss the implications of our results in the context of anisotropic hydrodynamics.

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Ashutosh Dash, Amaresh Jaiswal. 2017-11-20. Metric anisotropies and emergent anisotropic hydrodynamics. https://doi.org/10.1103/physrevd.97.104005

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