Orthogonally transitive G2 cosmologies

The authors provide a new framework for analysing orthogonally transitive G2 cosmologies, with a view to describing their asymptotic behaviour near the big bang and at late times. They assume a perfect fluid source with a linear equation of state and zero cosmological constant. The Einstein field equations are written as an autonomous system of first-order quasi-linear partial differential equations without constraints, in terms of dimensionless variables. The equilibrium points of this system are referred to as dynamical equilibrium states, and they show that the corresponding cosmological models are self-similar, but not necessarily spatially homogeneous.

[1]  Senovilla New class of inhomogeneous cosmological perfect-fluid solutions without big-bang singularity. , 1990, Physical review letters.

[2]  J. Isenberg,et al.  Asymptotic behavior of the gravitational field and the nature of singularities in gowdy spacetimes , 1990 .

[3]  C. G. Hewitt,et al.  A dynamical systems approach to Bianchi cosmologies: Orthogonal models of class A , 1989 .

[4]  J. Senovilla,et al.  A new inhomogeneous cosmological perfect fluid solution with p=ρ/3 , 1989 .

[5]  C. G. Hewitt,et al.  Qualitative analysis of a class of inhomogeneous self-similar cosmological models. II , 1988 .

[6]  J. Wainwright,et al.  Self-similar spatially homogeneous cosmologies: orthogonal perfect fluid and vacuum solutions , 1986 .

[7]  B. Carr,et al.  Soliton solutions and cosmological gravitational waves , 1983 .

[8]  D. Levine,et al.  Inhomogeneous cosmology - Gravitational radiation in Bianchi backgrounds , 1982 .

[9]  M. Carmeli Survey of cosmological models with gravitational, scalar and electromagnetic waves , 1981 .

[10]  J. Wainwright Exact spatially inhomogeneous cosmologies , 1981 .

[11]  J. Wainwright,et al.  Some exact inhomogeneous cosmologies with equation of state p=. gamma mu , 1980 .

[12]  J. Wainwright A classification scheme for non-rotating inhomogeneous cosmologies , 1979 .

[13]  E. Liang Dynamics of primordial inhomogeneities in model universes , 1976 .

[14]  R. Gowdy Gravitational waves in closed universes , 1971 .

[15]  V. Belinskiǐ,et al.  Oscillatory approach to a singular point in the relativistic cosmology , 1970 .

[16]  G. Ellis,et al.  A class of homogeneous cosmological models , 1969 .