Probing the nature of Einstein nonlinear Maxwell Yukawa black hole through gravitational wave forms from periodic orbits and quasiperiodic oscillations

TL;DR

This paper investigates gravitational wave signals from test particle orbits around Einstein nonlinear Maxwell Yukawa black holes, analyzing orbital stability, oscillations, and constraining black hole parameters using MCMC simulations.

Contribution

It introduces a detailed analysis of gravitational waveforms from periodic orbits around ENLMY black holes and constrains their parameters with observational data.

Findings

Yukawa screening parameter and electric charge influence orbital stability.

Computed GW signals for various orbits and polarizations.

Constrained black hole parameters using MCMC for astrophysical sources.

Abstract

In this work, we study gravitational wave emission from periodic orbits of test particles, analyze quasi periodic oscillations, and constrain the parameters of the static, spherically symmetric Einstein nonlinear Maxwell Yukawa black hole. Using the Hamiltonian approach, we calculate the equations of motion of the particles. We analyze the effective potential to determine the innermost stable circular orbit and innermost bound circular orbit, illustrating how the Yukawa screening parameter and electric charge Q affect orbital stability and energy requirements. Periodic orbits are classified by integer triplets and exhibit characteristic zoom whirl behavior. Based on these orbits we compute the corresponding GW signals in both the polarizations. Finally, we perform Monte Carlo Markov Chain MCMC simulations to constrain the parameters of the ENLMY BH for four microquasars and the galactic center within the relativistic precession model.