Emission signatures from sub-pc Post-Newtonian binaries embedded in circumbinary discs

TL;DR

This study models the evolution of equal-mass black hole binaries in circumbinary discs, revealing distinctive electromagnetic signatures and phase shifts that could influence gravitational wave detection and multimessenger observations.

Contribution

It incorporates Post-Newtonian corrections up to 2.5 PN order in 3D simulations to analyze electromagnetic signatures during binary inspiral and merger.

Findings

X-ray flux drops by two orders of magnitude before merger in warm discs

UV flux increases significantly regardless of disc temperature

Cold discs can accelerate binary coalescence by up to 130 seconds

Abstract

We study the dynamical evolution of quasi-circular equal mass massive black hole binaries embedded in circumbinary discs from separations of $\sim 100R_{\rm g}$ down to the merger, following the post merger evolution. The binary orbit evolves owing to the presence of the gaseous disc and the addition of Post-Newtonian (PN) corrections up to the 2.5 PN order, therefore including the dissipative gravitational wave back-reaction. We investigate two cases of a relatively cold and warm circumbinary discs, with aspect ratios $H/R=0.03,\,0.1$ respectively, employing 3D hyper-Lagrangian resolution simulations with the {\sc gizmo}-MFM code. We extract spectral energy distributions and light curves in different frequency bands (i.e. X-ray, optical and UV) from the simulations. We find a clear two orders of magnitude drop in the X-ray flux right before merger if the disc is warm while we identify a significant increase in the UV flux regardless of the disc temperature. The optical flux shows clear distinctive modulations on the binary orbital period and on the cavity edge period, regardless of the disc temperature. We find that the presence of a cold disc can accelerate the coalescence of the binary by up to 130 seconds over the last five days of inspiral, implying a phase shift accumulation of about $\pi\,$radians compared to the binary evolution in vacuum. These differences are triggered by the presence of the gaseous disc and might have implications on the waveforms that can be in principle detected. We discuss the implications that these distinctive signatures might have for existing and upcoming time domain surveys and for multimessenger astronomy.