Smooth transitions from Schwarzschild vacuum to de Sitter space

TL;DR

This paper constructs a variety of smooth spacetimes seamlessly connecting Schwarzschild vacuum and de Sitter space, satisfying energy conditions and avoiding singularities through topological changes.

Contribution

It introduces explicit models of spacetimes with boundary transitions between Schwarzschild and de Sitter regions, satisfying energy conditions and avoiding singularities.

Findings

Transition occurs below the Schwarzschild event horizon

Energy conditions are satisfied except in specific regions

Singularity is avoided via topological change

Abstract

We provide an infinity of spacetimes which contain part of both the Schwarzschild vacuum and de Sitter space. The transition, which occurs below the Schwarzschild event horizon, involves only boundary surfaces (no surface layers). An explicit example is given in which the weak and strong energy conditions are satisfied everywhere (except in the de Sitter section) and the dominant energy condition is violated only in the vicinity of the boundary to the Schwarzschild section. The singularity is avoided by way of a change in topology in accord with a theorem due to Borde..