Probing scalar field with generic extreme mass-ratio inspirals around Kerr black holes

TL;DR

Future space-based gravitational wave detectors can utilize generic extreme mass-ratio inspirals around Kerr black holes to detect or constrain scalar fields, especially by analyzing the effects of orbital inclination, eccentricity, and scalar charge on waveforms.

Contribution

This study investigates how scalar charges influence gravitational wave signals from generic EMRIs, highlighting the importance of orbital inclination and eccentricity in detecting scalar fields.

Findings

Inclination enhances scalar field detectability in EMRIs.

Orbital parameters significantly affect waveform deviations from GR.

EMRIs can serve as probes for fundamental scalar fields.

Abstract

The future space-based gravitational wave observatories are expected to provide unprecedented opportunities to explore intricate characteristics of black hole binaries, particularly for extreme mass-ratio inspirals (EMRIs), in which a stellar-mass compact object slowly inspirals into a supermassive black hole. These systems are very prominent sources for testing gravity in the strong gravity fields and for probing potential deviations from general relativity, including those arising from the presence of fundamental scalar fields. In this work, we examine the impact of a scalar charge carried by the inspiraling object within the context of EMRIs. We focus on generic orbits that present both eccentricity and inclination to evaluate how these parameters affect the modifications induced by the scalar charge to the gravitational wave signal. Our results demonstrate that the inclusion of orbital inclination, in particular, enhances the detectability of scalar field effects by introducing richer waveform features that deviate from the purely general relativistic case. The interplay among scalar charge, eccentricity and inclination provides a more complete sampling of the black hole spacetime, suggesting that EMRIs with such generic orbits represent compelling systems for stringently constraining or discovering new fundamental fields through future gravitational wave observations.