Taxonomy of periodic orbits and gravitational waves in a non-rotating Destounis-Suvorov-Kokkotas black hole spacetime

TL;DR

This paper classifies periodic orbits around a specific non-rotating black hole and analyzes their gravitational wave signals, highlighting how deformation affects waveforms and detection prospects.

Contribution

It introduces an orbital taxonomy for periodic orbits in a non-rotating Destounis-Suvorov-Kokkotas black hole spacetime and studies their gravitational wave signatures.

Findings

Circular orbits can disappear with large deformation.

Periodic orbits are characterized by a triplet of integers.

Deformation influences gravitational waveforms, affecting future detection.

Abstract

In this paper, we investigate periodic orbits of test particles around a non-rotating Destounis-Suvorov-Kokkotas black hole and the resulting gravitational waves. Firstly, we examine the properties of circular orbits and find that circular orbits could disappear when the deformation is large enough. Then, using an orbital taxonomy, we characterize various periodic orbits with a triplet of integers, which describes the zoom-whirl behaviours. We also calculate the gravitational waveform signals generated by different periodic orbits, revealing the influence of the deformation on the gravitational wave, which can be potentially picked up by future space-based detectors.