Physics – Fluid Dynamics
Scientific paper
Dec 1997
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..56.8086p&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 56, Issue 12, 15 December 1997, pp.8086-8094
Physics
Fluid Dynamics
1
Relativistic Fluid Dynamics, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Hydrodynamics
Scientific paper
An analysis of the role of the equation of state as a regulator to the existence of ``test'' and self-gravitating relativistic self-similar flows is presented. Contrary to the prevailing usage of P=kρ, 0<=k<=1 as the only physically realistic equation of state compatible with relativistic self-similarity, it is explicitly demonstrated that this is in fact not necessary. We show that the similarity ansatz allows flows which obey a polytropic equation of state. Explicit spherical self-similar flows are presented. It is also argued that a large class of equations of state do not exclude relativistic self-similar flows. Furthermore it is shown that the coupling of the Einstein tensor to a self-similar flow results in the elimination of self-gravitating self-similar flows obeying, for instance, a polytropic equation of state, though room is still left for other nonisentropic families of equation of state.
Pollney Denis
Zannias Thomas
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