From 2-Dimensional Surfaces to Cosmological Solutions
Adam Szereszewski, Jacek Tafel
TL;DR
This paper constructs new cosmological solutions of Bianchi types II, VI_0, and VII_0 by deriving perfect fluid metrics from spacelike surfaces in Minkowski space, allowing for flexible equations of state.
Contribution
It introduces a novel method to generate cosmological models from 2D surfaces in Minkowski space, expanding the set of known solutions.
Findings
Derived new Bianchi type cosmological solutions
Solutions depend on arbitrary time functions
Flexible to satisfy various equations of state
Abstract
We construct perfect fluid metrics corresponding to spacelike surfaces invariant under a 1-dimensional group of isometries in 3-dimensional Minkowski space. Under additional assumptions we obtain new cosmological solutions of Bianchi type II, VI_0 and VII_0. The solutions depend on an arbitrary function of time, which can be specified in order to satisfy an equation of state.
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