Scalar and vector perturbations in a universe with nonlinear perfect fluid
Ezgi Canay, Ruslan Brilenkov, Maxim Eingorn, A. Sava\c{s}, Arapo\u{g}lu, Alexander Zhuk

TL;DR
This paper develops a comprehensive theory of scalar and vector perturbations in a universe with multiple components, including nonlinear perfect fluids, valid across all scales, facilitating advanced cosmological simulations.
Contribution
It introduces a unified framework for perturbations in a multi-component universe with nonlinear fluids, extending previous linear models.
Findings
Derived equations valid at all scales
Applicable to diverse cosmological models
No smallness assumption on density contrasts
Abstract
We study a three-component universe filled with dust-like matter in the form of discrete inhomogeneities (e.g., galaxies) and perfect fluids characterized by linear and nonlinear equations of state. Within the cosmic screening approach, we develop the theory of scalar and vector perturbations. None of the energy density contrasts associated with the distinct components is treated as small. Consequently, the derived equations are valid at both sub- and super-horizon scales and enable simulations for a variety of cosmological models.
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