# Constant-mean-curvature Slicing of the Swiss-cheese Universe

## TL;DR

This paper investigates constant-mean-curvature slices in the Swiss-cheese universe, revealing they connect smoothly to homogeneous regions but do not pass through black holes, only white holes.

## Contribution

It demonstrates the behavior of CMC slices in the Swiss-cheese universe, especially their connection to homogeneous regions and their passage through black or white hole regions.

## Key findings

- CMC slices connect smoothly to Einstein-de Sitter regions.
- Slices do not pass through black hole regions.
- Slices pass through white hole regions.

## Abstract

A sequence of Constant-Mean-Curvature(CMC) slices in the Swiss-Cheese(SC) Universe is investigated. We focus on the CMC slices which smoothly connect to the homogeneous time slices in the Einstein-de Sitter region in the SC universe. It is shown that the slices do not pass through the black hole region but white hole region.