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A Homogeneous Anisotropic Relativistic World Model with Negative Space Curvature
Author(s) -
Urankar Asha
Publication year - 1970
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.19704790303
Subject(s) - physics , curvature , anisotropy , homogeneous , shear (geology) , space (punctuation) , mathematical physics , mathematical analysis , classical mechanics , statistical physics , quantum mechanics , geometry , mathematics , geology , petrology , linguistics , philosophy
Abstract An open anisotropic world model with a negative space curvature as suggested by HECKMANN and SCHÜCKING is considered. The results of the analysis show that shear in such a model decreases as time increases, its magnitude varying reciprocally with the third power of the function R ( t ). Further, the red shift occurs not only due to expansion but also due to shear. A solution of the “generalized” FRIEDMANN equation is given and its asymptotic behaviour for both small and large values of time is discussed.