Statistics – Computation
Scientific paper
May 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987ap%26ss.133..107m&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 133, no. 1, May 1987, p. 107-148.
Statistics
Computation
2
Computational Astrophysics, Einstein Equations, Gas Dynamics, Relativistic Theory, Relativistic Velocity, Tetrad Theory, Computational Fluid Dynamics, Gas Temperature, Gravitational Effects, High Temperature, Lorentz Transformations, Radiation Distribution, Solar Wind
Scientific paper
Representation of the relativistic equations of gas dynamics is discussed, and a strict formal model of a noninertial comoving reference frame without rotation is developed on the basis of a tetrad formalism using the 4-frame Fermi-Walker rules of transport. Einstein's equations; Taub's shock wave equations; and the equations of physical kinetics, relativistic collapse, and relativistic gas dynamics for ideal and dissipative gases are obtained in this reference frame. On the basis of the local Lorentz transformation and the Ricci rotation coefficients, these equations are used to demonstrate the fact that general-relativity effects can be simply taken into account in equations having a form acceptable to special relativity theory.
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