A Subclass of Exceptional Parallel Self-similar G2 Cosmologies

general relativity;cosmology;inhomogeneous;self-similar;G2;inhomogeneity;orthonormal tetrad;isometry group;perfect fluid;vacuum;similarity group;H3

Rashidi, Sepehradvisor:Charbonneau, Benoit ; affiliation1:Faculty of Science ; advisor:Hewitt, Conrad ; Hewitt, Conrad ; Charbonneau, Benoit ;

University of Waterloo

关键词: perfect fluid;    Master Thesis;    similarity group;    general relativity;    cosmology;    G2;    H3;    self-similar;    vacuum;    isometry group;    inhomogeneous;    inhomogeneity;    orthonormal tetrad;   

Others  :  https://uwspace.uwaterloo.ca/bitstream/10012/14632/3/Rashidi_Sepehr.pdf

瑞士|英语

来源: UWSPACE Waterloo Institutional Repository

【 摘 要 】

We perform a qualitative and asymptotic analysis of a particular class of cosmological models, namely the exceptional G2 perfect fluid and vacuum models that are additionally self-similar with the fluid flow lying tangential to the H3 orbits. We show that for the values of the equation of state parameter in (1,3/2), there exist open sets of well-behaved vacuum models that are asymptotically spatially homogeneous, at large spatial distances. For the values of the equation of state parameter in the intervals (1,10/9) and (4/3,3/2), there exist open sets of well-behaved perfect fluid inhomogeneous cosmological models that are asymptotically spatially homogeneous, at large spatial distances, and we illustrate the spatial structure of their matter-energy density. In addition, the perfect fluid models exhibit only two possible asymptotic behaviours, namely they are well-behaved and asymptotically spatially homogeneous or badly-behaved.