2017/11/30 by Ashutosh Dash, Amaresh Jaiswal
Engineering · Mathematics · Physics and Astronomy · #Anisotropy #Classical mechanics #Context (archaeology) #Cosmology and Gravitation Theories #Einstein #Einstein field equations #Fluid Dynamics and Turbulent Flows #Geometry #High-Energy Particle Collisions Research #Isotropy #Mathematical analysis #Mathematical physics #Mathematics #Metric (unit) #Metric tensor #Perfect fluid #Physics #Quantum mechanics #Rest frame #Tensor (intrinsic definition) #Type (biology) #gr-qc #nucl-th
paper · pdf · doi:10.1103/physrevd.97.104005
published as Phys. Rev. D 97, 104005 (2018) · 8 pages, 1 figure, published version
openalex publication_date 2018/05/04 · arxiv created 2018/05/07 · arxiv updated 2018/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Expansion of a locally equilibrated fluid is considered in an anisotropic space-time given by the Bianchi type-I metric. Starting from the 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 axissymmetric Bianchi type-I metric, we show that they are identical to those obtained within the setup of anisotropic hydrodynamics. We further consider the case in which the Bianchi type-I metric is a vacuum solution of the Einstein equation: the Kasner metric. For the axissymmetric Kasner metric, we discuss the implications of our results in the context of anisotropic hydrodynamics.