Trapped surfaces in cosmological spacetimes

TL;DR

This paper studies the conditions under which trapped surfaces form in cosmological spacetimes, revealing that such regions can have matter densities much higher than the background cosmology.

Contribution

It provides quantitative criteria for trapped surface formation in cosmological models using constant mean curvature slicing.

Findings

Trapped surfaces can form in regions with matter density significantly exceeding the background.

The criteria for formation depend on the matter distribution and spacetime slicing.

Cosmological regions with trapped surfaces may indicate high-density matter concentrations.

Abstract

We investigate the formation of trapped surfaces in cosmological spacetimes, using constant mean curvature slicing. Quantitative criteria for the formation of trapped surfaces demonstrate that cosmological regions enclosed by trapped surfaces may have matter density exceeding significantly the background matter density of the flat and homogeneous cosmological model.