Hamiltonian formulation of gravitating perfect fluids and the Newtonian limit
From MaRDI portal
Publication:3217861
DOI10.1063/1.526268zbMath0554.76099OpenAlexW2012375030MaRDI QIDQ3217861
Publication date: 1984
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.526268
constraintsfirst-order post-Newtonian approximationself-gravitating fluidsfreezing of the radiation degrees of freedomNewtonian limit in Hamiltonian formulation
Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)
Related Items
Steady states of self-gravitating incompressible fluid in two dimensions, On the Newtonian limit of general relativity, Unconstrained variational principle and canonical structure for relativistic elasticity, Inclusion of a perfect fluid term into the Einstein–Hilbert action, Representations and invariant equations of E(3), Theories of Newtonian gravity and empirical indistinguishability, THE REST-FRAME INSTANT FORM OF RELATIVISTIC PERFECT FLUIDS WITH EQUATION OF STATE ρ=ρ(n, s) AND OF NONDISSIPATIVE ELASTIC MATERIALS, Canonical formulation of spin in general relativity, Unnamed Item, STEADY STATES OF SELF-GRAVITATING INCOMPRESSIBLE FLUID WITH AXIAL SYMMETRY, On the Newtonian limit of the Weyl tensor
Cites Work
- The boost problem in general relativity
- Reduction of symplectic manifolds with symmetry
- Equations of hydrodynamics in general relativity in the slow motion approximation
- Dynamics of continua and particles from general covariance of Newtonian gravitation theory
- Fibre bundles associated with space-time
- Perfect Fluids in General Relativity: Velocity Potentials and a Variational Principle
- Elliptic operators and the decomposition of tensor fields
- Isocirculational flows and their Lagrangian and energy principles
- Variational principles for perfect and dissipative fluid flows
- A Lagrangian for Eulerian fluid mechanics
- Variational principles in continuum mechanics
- Lagrangian Density for Perfect Fluids in General Relativity