Circular motion, QPOs testing, emission energy and thermal fluctuations around a non-singular hairy Bardeen black hole

Abstract We investigate the dynamics of test particles around a spherically symmetric, non-rotating hairy-Bardeen black hole, and then study the influence of the model’s parameters on the particle motion. The black hole is fully characterized by five parameters, the mass M of the black hole, the charge Q of the black hole, coupling constant $$\beta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>β</mml:mi> </mml:math> , the parameter $$\gamma $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>γ</mml:mi> </mml:math> describing the hair of the black hole, and a BH parameter $$\eta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>η</mml:mi> </mml:math> . Using the effective potential technique, we study the stability and instability of circular equatorial orbits. We calculate the analytical expressions for the energy and angular momentum of test particles as functions of black hole parameters. The effective forces acting on particles as well as the innermost stable circular orbits have also been studied. Epicyclic oscillations of test particles close to the equatorial plane are explored, and analytical expressions for radial, vertical, and orbital frequencies have been derived. We also investigated the frequency of periastron precession of the particles. We also study the thermal properties showing the emission rate of energy and thermal fluctuation by calculating the Hawking temperature. Our findings reveal that the black hole model’s parameters significantly impact particle motion.