A global conformal extension theorem for perfect fluid Bianchi space-times
نویسندگان
چکیده
A global extension theorem is established for isotropic singularities in polytropic perfect fluid Bianchi space-times. When an extension is possible, the limiting behaviour of the physical space-time near the singularity is analysed.
منابع مشابه
X iv : g r - qc / 9 70 80 20 v 1 1 1 A ug 1 99 7 Lie Groups of Conformal Motions acting on Null Orbits
Space-times admitting a 3-dimensional Lie group of conformal motions C3 acting on null orbits are studied. Coordinate expressions for the metric and the conformal Killing vectors (CKV) are provided (irrespectively of the matter content) and then all possible perfect fluid solutions are found, although none of these verify the weak and dominant energy conditions over the whole spacetime manifold...
متن کامل2 Ju n 20 00 Symmetries of Bianchi I space - times
All diagonal proper Bianchi I space-times are determined which admit certain important symmetries. It is shown that for Homotheties, Conformal motions and Kinematic Self-Similarities the resulting space-times are defined explicitly in terms of a set of parameters whereas Affine Collineations, Ricci Collineations and Curvature Collineations, if they are admitted, they determine the metric modulo...
متن کاملSpacetimes admitting quasi-conformal curvature tensor
The object of the present paper is to study spacetimes admitting quasi-conformal curvature tensor. At first we prove that a quasi-conformally flat spacetime is Einstein and hence it is of constant curvature and the energy momentum tensor of such a spacetime satisfying Einstein's field equation with cosmological constant is covariant constant. Next, we prove that if the perfect flui...
متن کامل50 70 v 1 1 6 M ay 2 00 0 SPACE - TIMES ADMITTING A THREE - DIMENSIONAL CONFORMAL GROUP
Perfect fluid space-times admitting a three-dimensional Lie group of conformal motions containing a two-dimensional Abelian Lie subgroup of isometries are studied. Demanding that the conformal Killing vector be proper (i.e., not homothetic nor Killing), all such space-times are classified according to the structure of their corresponding three-dimensional conformal Lie group and the nature of t...
متن کاملNon-tilted Bianchi VII0 models – the radiation fluid
We consider the late time behaviour of non–tilted perfect fluid Bianchi VII0 models when the source is a radiation fluid, thereby completing the analysis of the Bianchi VII0 models initiated by Wainwright et al in a recent paper. The models exhibit the phenomena of asymptotic self-similarity breaking and Weyl-curvature dominance at late times. The late time dynamics of the VII0 perfect fluid mo...
متن کامل