Axially symmetric rotating body consisting of a perfect fluid
An alternative method of obtaining the equilibrium configurations of a rotating body consisting of a perfect fluid is outlined. Basically, the method involves recasting the gravitational hydrodynamic equations into a set of partial differential equations of first order in the radical direction such that a center-outward integration can be performed. Specifically, with suitable initial conditions at the origin of an r, theta grid, a numerical integration is performed outward along a number of selected theta-rays, with the required theta derivatives at each step being determined numerically from the values of the functions on the different rays. Applicable to both Newtonian and relativistic formulations, the technique is similar to that often used to obtain equilibrium configurations in spherically symmetric models.
- Research Organization:
- Saskatchewan Telecommunications, Regina
- OSTI ID:
- 6009594
- Journal Information:
- Int. J. Theor. Phys.; (United States), Journal Name: Int. J. Theor. Phys.; (United States) Vol. 26:6; ISSN IJTPB
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AXIAL SYMMETRY
CLASSICAL MECHANICS
COMPUTER CODES
COMPUTERIZED SIMULATION
CONTINUITY EQUATIONS
COSMOLOGICAL MODELS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EQUATIONS
EQUATIONS OF MOTION
EQUATIONS OF STATE
EQUILIBRIUM
FIELD EQUATIONS
FIELD THEORIES
FLUID MECHANICS
FLUIDS
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
HYDRODYNAMICS
LEAST SQUARE FIT
MATHEMATICAL MODELS
MAXIMUM-LIKELIHOOD FIT
MECHANICS
MOTION
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
ROTATION
S CODES
SIMULATION
SYMMETRY
TENSORS