Probing quantum gravity effects with eccentric extreme mass-ratio inspirals

In this study, we investigate the inspiral dynamics of a stellar-mass object around a central black hole (BH) incorporating loop quantum gravity (LQG) effects. The BH spacetime is characterized by an LQG correction parameter ${r}_{0}$, which quantifies deviations from the classical Schwarzschild geometry. Our analysis reveals that LQG effects accelerate the orbital decay compared to the Schwarzschild scenario. Furthermore, we employ the fastemriwaveforms (few) package to generate gravitational waveforms and assess the Laser Interferometer Space Antenna's capability to detect the LQG effect with faithfulness and the Fisher information matrix method. These results highlight the potential of space-based gravitational wave detectors to probe quantum gravity effects in astrophysical environments.