Eccentric Pairs: Analytic Gravitational Waves from Binary Black Holes in Elliptic Orbits

Abstract

If you thought that science was certain -well, that is just an error on your part.

Merging Black Holes: Assessing the Performance of Two Analytic Gravitational Waves Models

“…We conclude our findings by endorsing the BOB model because it depends only indirectly on the numerical data, through the analytical approximations used to estimate the mass, spin and quality factor of the final black hole. The greatest strength of this model is that it provides the initial time for the merger, which is invaluable when building complete analytical waveforms as we showed in [89]. Future research might include generic spin-precession, higher-order GW multipoles and recoil at the merger due to the asymmetric emission of GW.…”

“…We also need the slope of this initial frequency Ωi , for which we do not have an analytical expression. Instead, we make an informed choice for this quantity, corresponding to the value for Ω i from our previous post-Newtonian implementation (see [89]) Table D1 contains the calculated initial data necessary to implement the BOB and IRS models.…”

“…(C.5), and denote it by Ω i,2 = Ω 0 . Again, we do not calculate Ωi , but use the same value provided in Table D1 for the equal-mass binary, choice informed by our post-Newtonian evolution [89]. Although we recognize this ambiguity introduced by the choice in the initial frequency, we will show below that it has only a small effect on the shape of the signal close to and after the merger, which proves the robustness of the BOB model.…”

Rising Tides: Analytic Modeling of Tidal Effects in Binary Neutron Star Mergers

“…We start with assembling the baseline analytical model for the calculation of the GWs from a BBH collision, by following the common procedure as we detailed in [27,28]. First, we split the binary motion in two regions: the weak field, during the inspiral, and the strong field, during the merger, and apply different mathematical formalisms to obtain the waveform for each region.…”

“…This paper unfolds as follows: first, we present the point-particle system that characterizes BBH collisions, and calculate the GW by combining the post-Newtonian formalism for inspiral evolution with the Backwards-one-Body model for the merger. As baseline GW we use the fully analytical model for BBH collision we developed in [27] and expanded in [28], based on [29] for the inpiral and [30] for the merger. We prove our model's validity and efficiency through a comparison with numerical relativity (NR), utilizing the SXS:BBH:0180 template from the Simulating eXtreme Spacetimes (SXS) catalogue [31].…”