Second-order Cosmological Perturbations Engendered by Point-like Masses

Understand

In the $\Lambda$CDM framework, presenting nonrelativistic matter inhomogeneities as discrete massive particles, we develop the second-order cosmological perturbation theory.

• Our approach relies on the weak gravitational field limit.
• The derived equations for the second-order scalar, vector and tensor metric corrections are suitable at arbitrary distances including regions with nonlinear contrasts of the matter density.
• We thoroughly verify fulfilment of all Einstein equations as well as self-consistency of order assignments.