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Power Asymptotes of Homogeneous Cosmological Models in Einstein's Theory of Gravitation
Author(s) -
v. Borzeszkowski H.H.,
Müller V.
Publication year - 1978
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.19784900504
Subject(s) - asymptote , physics , einstein , mathematical physics , singularity , curvature , gravitation , metric (unit) , classical mechanics , theoretical physics , mathematical analysis , geometry , mathematics , operations management , economics
For the Bianchi‐types I, V, VII, VIII, and IX, the asymptotes of the metric, which show a power‐like dependence on the synchronized time t near the cosmological singularity, are investigated. Comparing the influence of the terms which in Einstein's equations describe time‐derivatives, spatial curvature, and matter, on the behaviour of the asymptotes, different assumptions and conjectures usually used in literature are discussed for the equations of state p = βϱ (0 ⩽ β ⩽ 1). For Bianchi‐type‐IX models both the outgoing power‐asymptotes and the oscillatory phase for t → 0 are considered.
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