Constant Mean Curvature Foliations of $3$-Dimensional Twisted Product Spacetimes

Abstract

For $2+1$ spacetime dimensions, we derive sufficient conditions for the twisting function in a twisted product spacetime, such that there is a global foliation by spacelike CMC surfaces.

References in corpus (2)

• The causal hierarchy of spacetimes
• Constant mean curvature foliations in cosmological spacetimes