The constant mean curvature slices of asymptotically flat spherical spacetimes

TL;DR

This paper studies how trapped surfaces form in asymptotically flat spherical spacetimes by employing constant mean curvature slicing techniques to analyze their geometric properties.

Contribution

It introduces a novel approach using constant mean curvature slices to understand the formation of trapped surfaces in these spacetimes.

Findings

Identification of conditions leading to trapped surface formation

Insights into the geometric structure of spherical spacetimes

Potential implications for gravitational collapse studies

Abstract

We investigate the formation of trapped surfaces in asymptotically flat spherical spacetimes, using constant mean curvature slicing.