Probing Quantum Gravity effects with Extreme Mass Ratio Inspirals around Rotating Hayward Black Holes

TL;DR

This paper explores the potential of LISA to detect quantum gravity effects in EMRIs around rotating Hayward black holes by analyzing waveform dephasing caused by deviations from general relativity.

Contribution

It introduces a method to incorporate quantum gravity corrections into EMRI waveform modeling and assesses LISA's sensitivity to these effects using the Fisher information matrix.

Findings

Quantum gravity corrections cause detectable waveform dephasing after one year.

LISA can potentially probe deviations from general relativity through EMRI observations.

Waveform modeling with the augmented analytic kludge captures quantum effects effectively.

Abstract

We investigate extreme mass-ratio inspirals (EMRIs) around a rotating Hayward black hole to assess the detectability of signatures arising from quantum gravity.The quantum parameter $\alpha_0$, which encodes deviations from general relativity (GR), introduces extra correction terms in both the orbital frequency and the fluxes. Our results show that after one year of accumulated observation, these corrections induce a detectable dephasing in the EMRI waveform. Using the modified orbital evolution driven by $\alpha_0$, we generate waveforms via the augmented analytic kludge (AAK) model implemented in the \texttt{FastEMRIWaveforms} package. Furthermore, we utilize the time-delay interferometry (TDI) to suppress the laser noise and phase fluctuations induced by spacecraft motion, and then employ the Fisher information matrix (FIM) to test the sensitivity of LISA in detecting deviations from GR. Our results demonstrate the potential of LISA to probe quantum-gravity effects through high-precision observations of EMRIs.