Prospects of gravitational-waves detections from common-envelope evolution with LISA

Abstract

Understanding common envelope (CE) evolution is an outstanding problem in binary evolution. Although the CE phase is not driven by gravitational-wave (GW) emission, the in-spiraling binary emits GWs that passively trace the CE dynamics. Detecting this GW signal would provide direct insight into the gas-driven physics. Even a non-detection might offer invaluable constraints. We investigate the prospects of detection of a Galactic CE by LISA. While the dynamical phase of the CE is likely sufficiently loud for detection, it is short and thus rare. We focus instead on the self-regulated phase that proceeds on a thermal timescale. Based on population synthesis calculations and the (unknown) signal duration in the LISA band, we expect $\sim 0.1-100$ sources in the Galaxy during the mission duration. We map the GW observable parameter space of frequency $f_{\mathrm{GW}}$ and its derivative ${\dot{f}}_{\mathrm{GW}}$ remaining agnostic on the specifics of the inspiral, and find that signals with $\mathrm{SNR}>10$ are possible if the CE stalls at separations such that $f_{\mathrm{GW}}\gtrsim 2\times 10^{-3}\mathrm{Hz}$. We investigate the possibility of misidentifying the signal with other known sources. If the second derivative ${\ddot{f}}_{\mathrm{GW}}$ can also be measured, the signal can be distinguished from other sources using a GW braking-index. Alternatively, coupling LISA with electromagnetic observations of peculiar red giant stars and/or infrared and optical transients might allow for the disentangling of a Galactic CE from other Galactic and extra-galactic GW sources.

arXiv commentAccepted by ApJ -- author's version. Code available at: https://github.com/tcallister/LISA-and-CE-Evolution

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