Numerical simulation of spherically symmetric matter in relativity
Thesis/Dissertation
·
OSTI ID:6444648
The numerical problem posed by Einstein's equations is examined for the simple case of spherical symmetry. The general approach taken is to solve the initial value equations in either the York and O'Murchadha formalism or the thin Sandwich formalism, and then to let the computer evolve the field equations in Arnowitt-Deser-Misner form. The initial value equations are solved numerically for a class of problems of astrophysical import, namely, relativistic polytropes in equilibrium. For the evolution equations a choice of gauge corresponding to maximal slicing and comoving coordinates is made. The numerical evolutions is carried out for four initial data sets, two of them yielding continuous gravitational collapse and the other two collapse and bounce. The results are presented in graphical form.
- Research Organization:
- Texas Univ., Austin (USA)
- OSTI ID:
- 6444648
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
640102 -- Astrophysics & Cosmology-- Stars & Quasi-Stellar
Radio & X-Ray Sources
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPUTER CODES
COMPUTERIZED SIMULATION
CONFIGURATION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
GRAVITATIONAL COLLAPSE
NUMERICAL SOLUTION
SIMULATION
SPHERICAL CONFIGURATION
Radio & X-Ray Sources
657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COMPUTER CODES
COMPUTERIZED SIMULATION
CONFIGURATION
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
GRAVITATIONAL COLLAPSE
NUMERICAL SOLUTION
SIMULATION
SPHERICAL CONFIGURATION