Multi-fluid cosmology in Einstein gravity: analytical solutions
arXiv:2107.12488 · doi:10.1007/s10714-021-02879-z
Abstract
We review analytical solutions of the Einstein equations which are expressed in terms of elementary functions and describe Friedmann-Lemaître-Robertson-Walker universes sourced by multiple (real or effective) perfect fluids with constant equations of state. Effective fluids include spatial curvature, the cosmological constant, and scalar fields. We provide a description with unified notation, explicit and parametric forms of the solutions, and relations between different expressions present in the literature. Interesting solutions from a modern point of view include interacting fluids and scalar fields. Old solutions, integrability conditions, and solution methods keep being rediscovered, which motivates a review with modern eyes.
arXiv commentBibliography expanded and typographical errors corrected. Matches the version to appear in Gen. Relativ. Gravit
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