Constant mean curvature foliation properties in the extended Reissner-Nordstrom spacetimes

TL;DR

This paper investigates the properties of constant mean curvature hypersurfaces in the extended Reissner-Nordstrom spacetime, providing solutions and constructing foliations with fixed or varying mean curvature.

Contribution

It offers the first explicit solutions for spacelike, spherically symmetric constant mean curvature hypersurfaces in this spacetime and constructs corresponding foliations.

Findings

Explicit solutions for hypersurfaces with constant mean curvature

Construction of foliations with fixed or variable mean curvature

Insights into geometric structure of Reissner-Nordstrom spacetime

Abstract

We solve the spacelike, spherically symmetric, constant mean curvature hypersurfaces in the maximally extended Reissner-Nordstrom spacetime with the charge smaller than the mass. Based on these results, we construct constant mean curvature foliations with fixed or varied mean curvature in each slice in this spacetime.