Spinning particle motion around charged black hole from T-duality

Abstract

This study examines a spinning particle motion around a charged black hole from T-duality. Initially, our investigation focuses on the lapse function of the metric, revealing that the presence of the black hole’s charge solely induces a shift in the location of the black hole’s horizon. However, with the introduction of l0, we observe the emergence of the second Cauchy horizon (r−). Additionally, we determine the maximum values of black hole parameters within the T-duality framework, guided by the criterion for the existence of the black hole horizon. We employ the Mathisson-Papapetrous-Dixon (MPD) equation to analyze the dynamics of the spinning test particles. Our exploration delves into the influence of the particle’s spin and associated parameters Q and l0 on the effective potential. Subsequently, we investigate the innermost stable circular orbit (ISCO) to establish relationships between the particle’s energy, angular momentum at ISCO, ISCO radius, and the particle’s spin, along with black hole parameters from T-duality. We also focus on superluminal motion, a crucial characteristic distinguishing time-like particles from space-like ones. Numerical values for the particle’s critical spin (smax) necessary to maintain time-like behavior are determined. Finally, we address the collision of spinning particles in the proximity of a compact object. Within this context, we endeavor to identify critical values of the particle’s angular momentum, permitting particles to approach the compact object closely.