Eccentric Pairs: Analytic Gravitational Waves from Binary Black Holes in Elliptic Orbits
arXiv:2203.08998 · doi:10.1142/S0218271822501383
Abstract
Gravitational waves (GW) from eccentric binaries have intricate signals encoding important features about the location, creation and evolution of the sources. Eccentricity shortens the merger time, making the emitted GW statistically predominant in the observed data once detectors will reach the required sensitivity. We present a novel implementation of fully analytical GW templates from eccentric binary black hole (BBH) mergers within the \texttt{Wolfram Mathematica} software. We increase the accuracy by identifying and minimizing the possible source of errors. We start with an overview of the physics involved in eccentric mergers, then assemble the strain for the inspiral by employing up to six post-Newtonian (PN) corrections. We complete the eccentric inspiral with the quasi-circular Backwards one Body (BoB) merger model in frequency, amplitude and phase, then we build the hybrid GW strain for the whole evolution of the binary. For low eccentricity we reach coincidence in the overlap, with no ambiguity in the time interval, a remarkable improvement from the usual matching techniques. For high-eccentricity we compensate for the implicit quasi-circular assumption of the BOB approach, by introducing a small rescaling in amplitude. Our streamlined implementation is relevant for the new field of GW astronomy and is straightforward to understand, use and extend, offering researchers in the field a valuable open resource tool.
27 pages, 10 figures, accepted for publication in the International Journal of Modern Physics D
References in corpus (25)
- An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
- Inspiral, merger and ring-down of equal-mass black-hole binaries
- Inspiral, merger and ringdown of unequal mass black hole binaries: a multipolar analysis
- Prospects for Fundamental Physics with LISA
- The TianQin project: current progress on science and technology
- Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes
- Toward faithful templates for non-spinning binary black holes using the effective-one-body approach
- Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
- Hierarchical data-driven approach to fitting numerical relativity data for nonprecessing binary black holes with an application to final spin and radiated energy
- Where post-Newtonian and numerical-relativity waveforms meet
- A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
- Sixth post-Newtonian local-in-time dynamics of binary systems
- Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
- Complete waveform model for compact binaries on eccentric orbits
- Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
- A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime
- The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
- Gravitational-wave physics with Cosmic Explorer: limits to low-frequency sensitivity
- IMRPhenomTP: A phenomenological time domain model for dominant quadrupole gravitational wave signal of coalescing binary black holes
- Tidal effects in the gravitational-wave phase evolution of compact binary systems to next-to-next-to-leading post-Newtonian order
- Solving post-Newtonian accurate Kepler Equation
- The 6th Post-Newtonian Potential Terms at
- Flux-balance equations for linear momentum and center-of-mass position of self-gravitating post-Newtonian systems
- Pulsar timing array signals induced by black hole binaries in relativistic eccentric orbits
- Reproducing GW150914: the first observation of gravitational waves from a binary black hole merger