Theoretical construction of stable traversable wormholes

TL;DR

This paper demonstrates the theoretical possibility of constructing stable traversable wormholes by defining specific conditions on their shape and redshift functions, ensuring stability against linearized radial perturbations.

Contribution

It provides a theoretical framework for creating stable traversable wormholes through simple conditions on their defining functions.

Findings

Stable wormholes can be constructed with specified shape and redshift functions.

Conditions for stability against linearized radial perturbations are identified.

The approach is purely theoretical, showing feasibility in principle.

Abstract

It is shown in this paper that it is possible, at least in principle, to construct a traversable wormhole that is stable to linearized radial perturbations by specifying relatively simple conditions on the shape and redshift functions.