Galilei group with multiple central extension, vorticity, and entropy generation: Exotic fluid in 3+1 dimensions

2017/07/31 by Praloy Das, Subir Ghosh · 2 citations
Mathematics · Physics and Astronomy · #Barotropic fluid #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Mathematical physics #Mathematics #Mechanics #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Perfect fluid #Physics #Theoretical physics #Thermodynamics #Vortex #Vorticity #gr-qc #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physrevd.96.111901

published in Physical review. D/Physical review. D. 96(11) (American Physical Society) · 11 pages, significant extensions with new results on NC induced vorticity and non-barotropy, accepted in PRD (rap.comm.)

arxiv created 2017/11/09 · openalex created_date 2017/11/17 · openalex publication_date 2017/12/08 · arxiv updated 2017/12/13 · openalex updated_date 2026/08/05

Abstract

A noncommutative extension of an ideal (Hamiltonian) fluid model in 3+1 dimensions is proposed. The model enjoys several interesting features: it allows a multiparameter central extension in Galilean boost algebra (which is significant being contrary to the existing belief that a similar feature can appear only in 2+1-dimensions); noncommutativity generates vorticity in a canonically irrotational fluid; it induces a nonbarotropic pressure leading to a nonisentropic system. (Barotropic fluids are entropy preserving as the pressure depends only on the matter density.) Our fluid model is termed ``exotic'' since it has a close resemblance with the extensively studied planar (2+1 dimensions) exotic models and exotic (noncommutative) field theories.

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