MAGNETIC FIELDS AND CHARGED PARTICLES NEAR BLACK HOLES IN NON COMMUTATIVE SPACETIME

Abstract

The dynamics of charged particles and the behavior of magnetic fields near black holes provide crucial insights into high-energy astrophysical processes. This thesis investigates these phenomena within the framework of non-commutative spacetime, which introduces a fundamental minimal length scale and modifies classical black hole solutions. Using theoretical analysis and mathematical modeling, the study explores how non-commutative effects influence particle trajectories, orbital stability, and electromagnetic field configurations near the event horizon. The results demonstrate that even small non-commutative parameters can significantly alter the innermost stable circular orbits, particle acceleration, and jet collimation mechanisms. These findings have important implications for interpreting astrophysical observations and offer potential indirect tests of quantum gravity effects. Furthermore, the study highlights the role of non-commutative geometry in regularizing singularities and providing a consistent framework for understanding the interplay between gravity, electromagnetism, and quantum corrections in extreme environments.