2014/09/30 by Rabin Banerjee, Subir Ghosh, Arpan Krishna Mitra · 10 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy stress tensor #Classical mechanics #Cosmology and Gravitation Theories #Covariant Hamiltonian field theory #Exact solutions in general relativity #Hamiltonian (control theory) #Hamiltonian system #Lagrangian #Mathematical physics #Mathematics #Noether's theorem #Perfect fluid #Physics #Pure mathematics #Quantum mechanics #Quantum, superfluid, helium dynamics #Tensor (intrinsic definition) #Tensor field #gr-qc #hep-th
paper · pdf · doi:10.1140/epjc/s10052-015-3412-y
published in The European Physical Journal C 75(5) (Springer Science+Business Media) · 19 pages, no figures, expanded version,new references, published in EPJC (2015) 75:207
openalex publication_date 2015/05/01 · arxiv created 2015/05/19 · arxiv updated 2015/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Ideal fluid dynamics is studied as a relativistic field theory with particular stress on its hamiltonian structure. The Schwinger condition, whose integrated version yields the stress tensor conservation, is explicitly verified both in equal-time and light-cone coordinate systems. We also consider the hamiltonian formulation of fluids interacting with an external gauge field. The complementary roles of the canonical (Noether) stress tensor and the symmetric one obtained by metric variation are discussed.