Self Force Orbit-Integrated gravitational waveforms for E(I)MRIs

TL;DR

This paper introduces the first orbit-integrated self force effects for EMRI/IMRI gravitational waveforms, emphasizing the conservative self force's role in waveform accuracy and parameter estimation.

Contribution

It provides the first analysis of conservative self force effects on orbit and waveform for quasi-circular EMRI/IMRI sources, highlighting their significance in gravitational-wave detection.

Findings

Conservative self force affects gauge-invariant quantities like $u^t$ and $ ext{Ω}$.

Inclusion of conservative effects is crucial for long waveform templates.

Short templates may ignore conservative effects with minimal impact.

Abstract

We present the first orbit-integrated self force effects for an IMRI or EMRI source, specifically the effects of its conservative piece on the orbit and on the waveform. We consider the quasi-circular motion of a particle in the spacetime of a Schwarzschild black hole, find the orbit and the corresponding gravitational waveform, and discuss the importance of the conservative piece of the self force in detection and parameter estimation. We also show the effect of the conservative piece of the self force on gauge invariant quantities, specifically $u^t$ as a function of the angular frequency $\Omega$. For long templates the inclusion of the conservative piece is crucial for gravitational-wave astronomy, yet may be ignored for short templates with little effect on detection rate.