2003/05/31 by Brandon Carter, N. Chamel, Nicolas Chamel · 6 citations
Physics and Astronomy · #Pulsars and Gravitational Waves Research #Quantum, superfluid, helium dynamics #Solar and Space Plasma Dynamics #astro-ph
paper · pdf · doi:10.1142/s0218271804004542
published as Int.J.Mod.Phys. D13 (2004) 291-326 · 35 pages Latex, with typo corrections and updated references
arxiv created 2003/12/17 · openalex publication_date 2004/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This is the first of a series of articles showing how 4 dimensionally covariant analytical procedures developed in the context of General Relativity can be usefully adapted for application in a purely Newtonian framework where they provide physical insights (e.g. concerning helicity currents) that are not so easy to obtain by the traditional approach based on a 3+1 spacetime decomposition. After an introductory presentation of the relevant Milne spacetime structure and the associated Cartan connection, the essential principles are illustrated by application to the variational formulation of simple barotropic perfect fluid models. This variational treatment is then extended to conservative multiconstituent self-gravitating fluid models of the more general kind that is needed for treating the effects of superfluidity in neutron stars.