Frame dragging anomalies for rotating bodies

TL;DR

This paper presents specific solutions to Einstein's equations showing unusual negative frame dragging, where test particles move opposite to the source's rotation, challenging typical expectations in general relativity.

Contribution

It introduces new axially symmetric solutions demonstrating negative frame dragging effects, expanding understanding of rotational spacetime phenomena.

Findings

Demonstrates existence of negative frame dragging in certain solutions

Shows test particles can rotate opposite to the source

Highlights anomalies in rotational spacetime behavior

Abstract

Examples of axially symmetric solutions to Einstein's field equations are given that exhibit anomalous "negative frame dragging" in the sense that zero angular momentum test particles acquire angular velocities in the opposite direction of rotation from the source of the metric.