Traversable wormholes from surgically modified Schwarzschild spacetimes

TL;DR

This paper introduces a new class of traversable wormholes created by surgically joining two Schwarzschild spacetimes, avoiding event horizons and analyzing their stability and exotic matter requirements.

Contribution

It presents a novel method for constructing traversable wormholes via spacetime surgery and provides a stability analysis based on the junction condition formalism.

Findings

The wormholes are free of event horizons.

Stability constraints depend on the exotic matter equation of state.

The analysis simplifies the study of wormhole stability.

Abstract

In this paper I present a new class of traversable wormholes. This is done by surgically grafting two Schwarzschild spacetimes together in such a way that no event horizon is permitted to form. This surgery concentrates a non--zero stress--energy on the boundary layer between the two asymptotically flat regions. I shall investigate this stress--energy in detail using the "junction condition" formalism. A feature of the present analysis is that this class of traversable wormholes is sufficiently simple for a (partial) dynamical stability analysis to be carried out. The stability analysis places constraints on the equation of state of the exotic matter that comprises the throat of the wormhole.