Causality violating geodesics in Bonnor's rotating dust metric

TL;DR

This paper demonstrates the existence of timelike geodesics in Bonnor's rotating dust metric where coordinate time reverses direction, highlighting potential causality violations in this spacetime model.

Contribution

It identifies and analyzes causality-violating geodesics in Bonnor's rotating dust metric, providing insights into its causal structure.

Findings

Timelike geodesics with backward coordinate time identified

Causality violations demonstrated in Bonnor's metric

Implications for rotating dust spacetime models

Abstract

We exhibit timelike geodesic paths for a metric, introduced by Bonnor [11] and considered also by Steadman [13], and show that coordinate time runs backward along a portion of these geodesics.