Particle Dynamics and Quasi-Periodic Oscillations in the GUP-Modified Schwarzschild Spacetime: Constraint Using Micro-Quasars Data

TL;DR

This paper investigates particle motion and quasi-periodic oscillations in a GUP-modified Schwarzschild black hole, using microquasar data to constrain the GUP parameter and comparing with Kerr black holes.

Contribution

It introduces a detailed analysis of particle dynamics and QPOs in GUP-corrected black holes, providing observational constraints on the GUP parameter.

Findings

ISCO calculations around GUP black holes

Kerr black hole mimics GUP black hole after parameter tuning

Constraints on GUP parameter from microquasar data

Abstract

In this work, we have worked out dynamical aspects for the particles moving around the GUP-corrected-Schwarzschild (S-GUP) black hole. We have calculated the innermost stable circular orbit (ISCO) around black hole and explored its implications for different microquasars. Additionally, we have shown that the Kerr black hole mimics S-GUP black hole after some tuning of parameters. Finally, considering the S-GUP black hole as a microquasar source, we have studied quasi-periodic oscillation (QPO). Further utilizing the available observational data of few microquasars, we have obtained constrains on the GUP parameter $\epsilon$ as well.