# Motion of a spinning particle around an improved rotating black hole

## TL;DR

This paper investigates how quantum corrections in a rotating black hole spacetime affect the motion of spinning particles, revealing smaller event horizons and ISCO radii compared to classical solutions.

## Contribution

It introduces a model of a quantum improved rotating black hole and analyzes the impact on particle orbits using the Mathisson-Papapetrou-Dixon equations.

## Key findings

- Event horizon radius is smaller than in classical Kerr black holes.
- ISCO radius decreases due to quantum corrections.
- Quantum effects modify the orbital dynamics of spinning particles.

## Abstract

Using the Mathisson-Papapetrou-Dixon equations together with the Tulczyjew spin-supplementary condition, we study the circular orbits of a spinning test particle moving in the equatorial plane of a quantum improved Rotating Black Hole (RBH) spacetime. This background metric incorporates a position-dependent gravitational constant $G(r)$ and its behavior determines the quantum corrections to the properties of the Innermost Stable Circular Orbit (ISCO). The obtained results show that the radius of the event horizon as well as the radius of the ISCO for the quantum improved RBH are smaller than those of the Schwarzschild or Kerr solutions.