Analytical solutions for two inhomogeneous cosmological models with energy flow and dynamical curvature

Understand

Recently we have introduced a nonrelativistic cosmological model (NRCM) exhibiting a dynamical spatial curvature.

• For this model the present day cosmic acceleration is not attributed to a negative pressure (dark energy) but it is driven by a nontrivial energy flow leading to a negative spatial curvature.
• In this paper we generalize the NRCM in two different ways to the relativistic regime and present analytical solutions of the corresponding Einstein equations.
• These relativistic models are characterized by two inequivalent extensions of the FLWR metric with a time-dependent curvature function $K (t)$ and an expansion scalar $a(t)$.