New Non-Separable Diagonal Cosmologies

Abstract

We find all the perfect fluid G2 diagonal cosmologies with the property that the quotient of the norms of the two orthogonal Killing vectors is constant along each fluid world-line. We find four different families depending each one on two or three arbitrary parameters which satisfy that the metric coefficients are not separable functions. Some physical properties of these solutions including energy conditions, kinematical quantities, Petrov type, the existence and nature of the singularities and whether they contain Friedman-Robertson-Walker cosmologies as particular cases are also included.

Latex, no figures

References in corpus (2)

• A singularity-free space-time
• New Non-Diagonal Singularity-Free Cosmological Perfect-Fluid Solution

Cited by in corpus (7)

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• A singularity theorem based on spatial averages
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• Geodesically complete nondiagonal inhomogeneous cosmological solutions in dilatonic gravity with a stiff perfect fluid
• Isotropic singularities in shear-free perfect fluid cosmologies
• A note on behaviour at an isotropic singularity
• Singularity free cosmological solutions of Einstein-Maxwell equations