Perfect fluids and generic spacelike singularities
Patrik Sandin, Claes Uggla
TL;DR
This paper develops a mathematical framework to analyze how perfect fluids influence the nature of generic spacelike singularities in cosmological models, providing insights into the interplay between matter properties and singularity behavior.
Contribution
It introduces conformally 1+3 Hubble-normalized equations for perfect fluids and explores their impact on spacelike singularities under certain conjectures.
Findings
Fluid properties affect singularity characteristics
Derived relations between fluid equations of state and singularity behavior
Framework applicable to various perfect fluid models
Abstract
We present the conformally 1+3 Hubble-normalized field equations together with the general total source equations, and then specialize to a source that consists of perfect fluids with general barotropic equations of state. Motivating, formulating, and assuming certain conjectures, we derive results about how the properties of fluids (equations of state, momenta, angular momenta) and generic spacelike singularities affect each other.
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