# A frequency-domain implementation of the particle-without-particle approach to EMRIs

## TL;DR

This paper introduces a frequency-domain implementation of the particle-without-particle method to compute the gravitational self-force for extreme mass ratio inspirals, aiding future gravitational wave detection efforts.

## Contribution

It extends the PwP technique from scalar to gravitational self-force calculations using a frequency-domain approach, advancing computational methods for EMRIs.

## Key findings

- Demonstrates the feasibility of the frequency-domain PwP method for gravitational self-force
- Provides a new computational tool for modeling EMRIs in gravitational wave astronomy
- Lays groundwork for more accurate waveform predictions for detectors like LISA

## Abstract

The gravitational waves emitted by binary systems with extreme mass ratios carry unique astrophysical information expected to be probed by the next generation of gravitational wave detectors such as LISA. The detection of these binaries rely on an accurate modeling of the gravitational self-force that drives their orbital evolution. Although the theoretical formalism to compute the self-force has been largely established, the mathematical tools needed to implement it are still under development, and the self-force computation remains an open problem. We present here a frequency-domain implementation of the particle-without-particle (PwP) technique previously developed for the computation of the scalar self-force -- a helpful testbed for the gravitational self-force.