Gravitational wave radiation from periodic orbits and quasi-periodic oscillations in Einstein non-linear Maxwell-Yukawa black hole

TL;DR

This paper explores the orbital dynamics, gravitational wave emission, and quasi-periodic oscillations around Einstein non-linear Maxwell-Yukawa black holes, revealing how Yukawa parameters influence observable signals and mimicking Schwarzschild spacetime.

Contribution

It introduces a detailed analysis of periodic orbits, gravitational waves, and QPOs in ENMY black holes, providing new constraints on parameters using observational data.

Findings

Yukawa parameters significantly affect gravitational wave signals.

ENMY spacetime can mimic Schwarzschild behavior with increasing Yukawa parameter.

Constraints on black hole and Yukawa parameters derived from QPO data.

Abstract

In this article, we investigate the orbital dynamics and quasi-periodic oscillations (QPOs) surrounding a static, spherically symmetric geometry of an Einstein-nonlinear Maxwell-Yukawa (ENMY) black hole (BH). Using the Hamiltonian formalism, we derive equations of motion and analyze the effective potential. We determine the innermost stable circular orbits (ISCO) and innermost bound circular orbits (IBCO) radii for different values of the Yukawa parameters $\lambda$ and $\delta$, and classify periodic orbits via rational frequency analysis, highlighting deviations from Schwarzschild geometry. We also study gravitational wave (GW) emission from periodic orbits and show how Yukawa terms affect GW signals. Fundamental frequencies are computed, and QPOs are analyzed using relativistic precession, warped disk, and tidal disruption models. By increasing $\lambda$, the ENLMY spacetime effectively mimics the behavior of a Schwarzschild spacetime. Constraints on the BH mass and Yukawa parameters are derived using QPO data from stellar-mass (XTE J1550-564, GRO J1655-40, GRS 1915+105), intermediate-mass (M82 X-1), and supermassive (Sgr A*) BHs within the relativistic precession model by employing a Markov Chain Monte Carlo analysis.