Gravitational waveforms from periodic orbits around a dyonic ModMax black hole

TL;DR

This paper analyzes gravitational waveforms generated by particles orbiting a dyonic ModMax black hole, revealing how black hole parameters influence orbital dynamics and waveform characteristics.

Contribution

It introduces a detailed study of gravitational waveforms from periodic orbits around a dyonic ModMax black hole, highlighting the effects of charge and screening parameters.

Findings

Orbit characteristics increase with black hole charge and screening parameter.

Periodic orbits are classified by integers (z,w,v).

Waveforms are computed for extreme mass ratio inspirals.

Abstract

In this work, we study the gravitational waveforms from the periodic orbits of a massive particle around a dyonic ModMax black hole. We begin with a brief analysis of the spacetime and then examine how its parameters influence the dynamics of a massive neutral particle using the Lagrangian formalism. In particular, we compute the characteristics of marginally bound orbits and innermost stable circular orbits. Our results show that the values of these quantities increase with the black hole charge $Q$ and the screening parameter $\gamma$. We then plot various periodic orbits, characterized by the integers ($z$,$w$,$v$). Finally, we present the gravitational waveforms associated with extreme mass ratio inspirals, consisting of a stellar-mass compact object orbiting a supermassive black hole.