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Dissipative Model of the Universe
Author(s) -
Molnár P.,
Mészáros M.
Publication year - 1989
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19895010702
Subject(s) - dissipative system , physics , cosmology , classical mechanics , generalization , universe , equations of motion , motion (physics) , tensor (intrinsic definition) , theoretical physics , dimension (graph theory) , mathematical physics , mathematical analysis , mathematics , thermodynamics , quantum mechanics , geometry , pure mathematics
In the present study a trial is carried out to generalize the non‐relativistic‐dynamic model of cosmology put forward by O. Heckmann. The generalization is performed under the framework of the Gyarmati principle of irreversible thermodynamics for anisotropic inhomogeneous and viscous case. The equation of motion of the dissipative Universe will be a Navier‐Stokes tensor equation leading to a Riccatian differential equation general in one dimension. The equations of the Heckmann model compatible with standard cosmology can be obtained from this by means of further simplifying assumption.