Epicyclic frequencies in the equatorial plane around stationary and axially symmetric wormhole geometries

TL;DR

This paper explores the properties of epicyclic frequencies around stationary, axially symmetric wormholes, proposing methods to identify such objects and reconstruct their metrics from observational data.

Contribution

It introduces a framework to distinguish wormholes from black holes and outlines a strategy for metric reconstruction based on observational data.

Findings

Wormholes can be distinguished from Kerr black holes using epicyclic frequency signatures.

A method for reconstructing wormhole metrics from observational data is proposed.

Implications for future observational tests of wormhole geometries are discussed.

Abstract

Epicyclic frequencies are usually observed in X-ray binaries and constitute a powerful astrophysical mean to probe the strong gravitational field around a compact object. We consider them in the equatorial plane around a general stationary and axially symmetric wormhole. We first search for the wormholes' existence, distinguishing them from a Kerr black hole. Once there will be available observational data on wormholes, we present a strategy to reconstruct the related metrics. Finally, we discuss the implications of our approach and outline possible future perspectives.