Scalar and vector perturbations in a universe with discrete and continuous matter sources

Understand

We study a universe filled with dust-like matter in the form of discrete inhomogeneities (e.g., galaxies and their groups and clusters) and two sets of perfect fluids with linear and nonlinear equations of state, respectively.

• The background spacetime geometry is defined by the FLRW metric.
• In the weak gravitational field limit, we develop the first-order scalar and vector cosmological perturbation theory.
• Our approach works at all cosmological scales (i.e.