previous :: next

### The inverse mean curvature flow in cosmological spacetimes

Claus Gerhardt
Source: Adv. Theor. Math. Phys. Volume 12, Number 6 (2008), 1183-1207.

#### Abstract

We prove that the leaves of an inverse mean curvature flow provide a foliation of a future end of a cosmological spacetime $N$ under the necessary and sufficient assumptions that $N$ satisfies a future mean curvature barrier condition and a strong volume decay condition. Moreover, the flow parameter t can be used to define a new physically important time function.

First Page: