Hamiltonian formalism for relativistic perfect fluids

Journal Article · Thu Sep 15 04:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.16.1702· OSTI ID:5442111

Moncrief, V

We apply Arnowitt, Deser, and Misner (ADM) reduction techniques to Taub's variational principle for self-gravitating, relativistic perfect fluids. We derive conditions upon the fluid configuration which are sufficient to ensure that the constraint equations can be solved for the lapse function and shift vector field. We show that with Taub's coordinate conditions the ADM Hamiltonian is always equal to the total baryon number of the fluid and is thus a conserved quantity. Finally, we derive the Hamiltonian explicitly for the particular equations of state p = (..gamma.. - 1) rho.

• Research Organization: Department of Physics, Yale University, New Haven, Connecticut 06520
• OSTI ID: 5442111
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 16:6; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONSERVATION LAWS
EINSTEIN FIELD EQUATIONS
ENERGY RANGE
EQUATIONS
EQUATIONS OF STATE
FIELD EQUATIONS
FIELD THEORIES
FLUID MECHANICS
FUNCTIONS
GENERAL RELATIVITY THEORY
HAMILTONIANS
LAGRANGIAN FUNCTION
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM OPERATORS
RELATIVISTIC RANGE
RELATIVITY THEORY
VARIATIONAL METHODS
VECTOR FIELDS