Astronomy and Astrophysics – Astrophysics
Scientific paper
Nov 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..97..205k&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 97, no. 1, Nov. 1983, p. 205-212.
Astronomy and Astrophysics
Astrophysics
Astrophysics, Flow Equations, Relativistic Effects, Stellar Models, Adiabatic Conditions, Differential Equations, Ideal Fluids, Minkowski Space, Tensor Analysis
Scientific paper
A perfect fluid which is free of external body forces is considered, and it is assumed that the fluid is in motion under conditions of adiabatic change. The motion is referred to an inertial reference frame. An expression for the total rest mass of a fluid element at a certain location is derived with the aid of Einstein's principle of inertia-energy equivalence, and a formula for the total rest density is presented. The time variation of the total rest mass is investigated, and the equations of relativistic flow in Minkowski's space are considered. The new mathematical and physical method described leads to the introduction of an energy tensor which is the same as the energy tensor introduced by Fock (1964) by a different method.
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