Barrow entropy effects on thermodynamics and quasi-periodic oscillations around a Frolov black hole

Abstract

This study investigates the geometric structure, particle dynamics, and thermal properties of the non-rotating Frolov black hole. We analyze the black hole geometry and derive the effective potential governing the motion of the test particle, showing the influence of the BH charge Q and the parameter α on the motion of the particle. Using the Hamiltonian formalism, we determine the angular momentum, energy, and innermost stable circular orbits of the particles, demonstrating that increasing Q and α shifts the innermost stable circular orbit radii closer to the horizon and reduces the stability of the orbit. The effective force acting on the particles becomes more attractive with higher Q and α. Harmonic oscillatory motion around stable orbits reveals distinct radial, latitudinal, and axial frequencies, which diminish near the horizon for larger Q and α. Periastron precession rates similarly decrease with these parameters. The center of mass energy near the horizon escalates with Q and α, suggesting enhanced energy extraction efficiency. We also study the black hole thermodynamics, and found that the black hole exhibits a positive Hawking temperature and entropy, while the specific heat analysis indicates phase transitions and regions of stability dependent on Q, α, and the Barrow entropy parameter. The emission energy rates decrease as Q and α increase. Our results generalize the Schwarzschild black hole case ($Q=\alpha =0$) and provide critical insights into the interplay between charge, space-time structure, and thermodynamic behavior in Frolov black hole geometries.