Fate of Inhomogeneity in Schwarzschild-deSitter Space-time

TL;DR

This paper explores the global structure of spherically symmetric inhomogeneous spacetimes with a focus on black hole and worm hole formation during inflation, revealing that negative gravitational mass motion is possible without violating energy conditions.

Contribution

It introduces a classification of inhomogeneous Schwarzschild-de Sitter spacetimes using metric junctions, including the possibility of negative gravitational mass.

Findings

Negative gravitational mass motion is possible without violating energy conditions.

Black hole and worm hole formation during inflation are discussed based on the classification.

All possible types of inhomogeneous spacetime structures are classified.

Abstract

We investigate the global structure of the space time with a spherically symmetric inhomogeneity using a metric junction, and classify all possible types. We found that a motion with a negative gravitational mass is possible although the energy condition of the matter is not violated. Using the result, formation of black hole and worm hole during the inflationary era is discussed.