Dunkl black hole with phantom global monopoles: geodesic analysis, thermodynamics and shadow

Abstract

We explore a static spherically symmetric black hole (BH) solution within the framework of Dunkl geometry, incorporating the effects of both ordinary and phantom global monopoles. This extends classical BH physics by introducing topological defects and modified symmetry structures via Dunkl operator formalism, with phantom global monopoles exhibiting exotic repulsive gravitational effects. We analyze null geodesics focusing on photon dynamics, trajectory nature, circular photon orbits, and stability through effective potential analysis. These results provide insight into how the Dunkl parameter and the presence of phantom global monopoles affect light propagation near the BH. We investigate time-like geodesics, analyzing massive particle motion in this BH background with topological defects, studying circular orbits, precession frequency, and orbital speed at large distances. Our findings show substantial deviations from classical solutions like Schwarzschild BH, highlighting the significant role of Dunkl parameter and global monopole. We explore BH thermodynamic properties, deriving Hawking temperature, entropy, Gibbs free energy, and specific heat, offering information about thermal behavior and phase transitions. These thermodynamic aspects are shown to be markedly influenced by both the Dunkl geometry and the presence of phantom global monopoles. In addition, we examine the formation and characteristics of BH shadows in this BH spacetime. Our findings demonstrate that the inclusion of Dunkl symmetry and phantom global monopoles leads to profound modifications in the physical and geometric properties of the BH spacetime.