Testing of QPOs, particle dynamics, emission energy and thermal fluctuation around a regular hairy black hole

Abstract We investigate the dynamics of test particles around a spherically symmetric, non-rotating, hairy regular black hole, examining how the model parameters affect particle motion. The black hole is characterized by two parameters, the mass $$M$$ M and a hairy parameter $$\alpha $$ α . Using th...

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Bibliographic Details
Main Authors: Asifa Ashraf, Allah Ditta, Tayyab Naseer, S. K. Maurya, Saibal Ray, Phongpichit Channuie, Farruh Atamurotov
Format: Article
Language:English
Published: SpringerOpen 2025-06-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14280-0
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Summary:Abstract We investigate the dynamics of test particles around a spherically symmetric, non-rotating, hairy regular black hole, examining how the model parameters affect particle motion. The black hole is characterized by two parameters, the mass $$M$$ M and a hairy parameter $$\alpha $$ α . Using the effective potential, we examine the stability of circular orbits. We derive analytical expressions for the energy and angular momentum of test particles as a function of the black hole parameters. The effective forces acting on particles and the innermost stable circular orbits are also examined. Additionally, we numerically integrate the equations of motion to examine particle trajectories and further investigate their motion. Epicyclic oscillations of test particles close to the equatorial plane are explored, and analytical expressions for radial, vertical, and orbital frequencies are derived as functions of the black hole parameters. We also examine the frequency of periastron precession of the particles. We compare the motion of test particles around a hairy regular black hole with the particle motion around a classical non-rotating Schwarzschild black hole. Further, we discuss thermally fluctuating phenomena by using the Tsallis entropy and the energy emission process. Our findings show that the black hole model’s parameters significantly impact particle motion and thermal features.
ISSN:1434-6052