Eccentricity evolution of PTA sources from cosmological initial conditions

TL;DR

This study investigates how the eccentricity of supermassive black hole binaries evolves from galaxy mergers with cosmological initial conditions, impacting the gravitational wave background observed by pulsar timing arrays.

Contribution

It provides the first detailed simulation-based analysis of BHB eccentricity evolution from galaxy merger initial conditions to coalescence, highlighting the correlation with initial merger eccentricity.

Findings

Most mergers occur on highly eccentric orbits.

Eccentricity at binary formation correlates with initial merger eccentricity.

Highly eccentric mergers tend to form with modest eccentricities.

Abstract

Recent results from pulsar timing arrays (PTAs) show evidence for a gravitational wave background (GWB) consistent with a population of unresolved supermassive black hole (SMBH) binaries (BHBs). While the data do not yet constrain the slope of the spectrum, this appears to flatten at the lowest frequencies, deviating from the power-law shape expected for circular binaries evolving solely due to gravitational wave (GW) emission. Interestingly, such flattening can be explained with a population of eccentric rather than circular binaries. The eccentricity of BHBs is notoriously difficult to predict based simply on the parameters of the host galaxies and the initial galactic orbit, as it is subject to stochastic effects. We study the evolution of the eccentricity of BHBs formed in galactic mergers with cosmological initial conditions from pairing to coalescence, with a focus on potential PTA sources. We select galactic mergers from the IllustrisTNG100-1 simulation and re-simulate them at high resolution with the N-body code Griffin down to binary separations of the order of a parsec. We then estimate coalescence timescales with a semi-analytical model of the evolution under the effects of GW emission and stellar hardening. We find that most mergers in IllustrisTNG100-1 occur on highly eccentric orbits, and that the eccentricity of BHBs at binary formation correlates with the initial eccentricity of the merger, if this is no larger than approximately 0.9. For extremely eccentric mergers, the binaries tend to form with modest eccentricities. We discuss the implications of these results on the interpretation of the observed GWB.