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Dynamics of test particles and quasi-periodic oscillations mathematically around F(R)-corrected black holes

Allah DittaDepartment of Mathematics, School of Science, University of Management and Technology, Lahore, 54000, PakistanAbdelmalek BouzenadaLaboratory of Theoretical and Applied Physics, Echahid Cheikh Larbi Tebessi University, 12001, AlgeriaMuneerah AlomarDepartment of Physics, College of Science, Princess Nourah bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi ArabiaMona Bin-AsfourDepartment of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh, Saudi Arabia

2025en

ABI

Annotatsiya

This study explores the influence of test particles in the vicinity of a static, spherically symmetric black hole (BH) within the F ( R ) -corrected model. The BH solution is illustrated by five parameters: mass M , three dimensionless coefficients a , b , and c , and the Planck length l p . Using the effective potential, we show the stability of circular orbits and derive an exact result for the energy and angular momentum (AM) of particles in terms of the BH parameters. We define the innermost stable circular orbits (ISCOs) and examine the effective forces that influence particle trajectories. In addition, we analyze epicyclic oscillations (EO) close to the equatorial plane, providing exact formulas for radial, vertical, and orbital frequencies. The frequency of periastron precession is also evaluated. Furthermore, we investigate particle collisions near the BH horizon, computing the resulting center-of-mass energy (CME). Our results show the role of the model parameters in shaping the dynamics of the particles and their motion properties.

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Identifikatorlar

DOI: 10.1016/j.nuclphysb.2025.117099

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