Causality Properties of Topologically Nontrivial Space-Time Models

TL;DR

This paper examines the causality features of space-time models with traversable wormholes, showing limitations on wormhole dynamics and exploring models with and without causality violations.

Contribution

It demonstrates that relativity cannot govern wormhole mouth movements and that transforming a wormhole into a time machine is impossible, providing new insights into causality in such models.

Findings

Relativity principle does not apply to wormhole mouth motion.

Dynamical wormhole transformation into a time machine is impossible.

Examples of causal and noncausal space-time models with wormholes are provided.

Abstract

The causality properties of space-time models with traversable wormholes are considered. It is shown that relativity principle cannot be applied to the motion of the wormhole's mouths in the outer space and the dynamical wormhole transformation into the time machine is impossible. The examples of both causal and noncausal space-time models with traversable wormholes are also considered. Some properties of space-time models with causality violation are briefly discussed.