Assessing EMRI Detectability of the Rotating Quantum Oppenheimer-Snyder Black Hole

TL;DR

This paper evaluates how quantum gravity effects influence EMRI gravitational wave signals from rotating quantum Oppenheimer-Snyder black holes, highlighting detectability prospects with LISA and the impact of rotation.

Contribution

It introduces a method to assess quantum gravity effects on EMRIs involving rotating black holes and analyzes their detectability with LISA.

Findings

Quantum effects induce detectable GW phase shifts in LISA observations.

Rotation suppresses quantum gravity signatures in EMRI signals.

Quantum corrections significantly alter waveform faithfulness depending on black hole spin.

Abstract

This letter presents an assessment of quantum gravity effects on extreme-mass-ratio inspirals (EMRIs) for the rotating quantum Oppenheimer-Snyder (qOS) black hole. Employing the adiabatic evolution, we compute the gravitational wave (GW) dephasing, which quantifies the cumulative phase shift induced by the quantum correction {\alpha} . We further generate the augmented analytic kludge (AAK) waveform and investigate the faithfulness between the waveforms with and without the quantum parameter {\alpha} for different values of a. Our results reveal that the quantum gravity effect induces detectable imprints in LISA, while the presence of rotation suppresses these signatures. This suggests that rotational degrees of freedom must be carefully accounted for when probing quantum gravity with EMRI observations.