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.
arXiv comment27 pages, 10 figures, accepted for publication in the International Journal of Modern Physics D
References in corpus (83)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Quasinormal modes of black holes and black branes
- Quasi-Normal Modes of Stars and Black Holes
- Effective one-body approach to general relativistic two-body dynamics
- Science Case for the Einstein Telescope
- On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
- Physics, Astrophysics and Cosmology with Gravitational Waves
- Transition from inspiral to plunge in binary black hole coalescences
- Inspiral-merger-ringdown waveforms for black-hole binaries with non-precessing spins
- An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
- Open data from the first and second observing runs of Advanced LIGO and Advanced Virgo
- Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries
- 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
- High-accuracy comparison of numerical relativity simulations with post-Newtonian expansions
- Merging black hole binaries in galactic nuclei: implications for advanced-LIGO detections
- The TianQin project: current progress on science and technology
- Analytic black hole perturbation approach to gravitational radiation
- Binary black hole mergers from field triples: properties, rates and the impact of stellar evolution
- IMRPhenomXHM: A multi-mode frequency-domain model for the gravitational wave signal from non-precessing black-hole binaries
- Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects
- 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
- Colliding Black Holes: The Close Limit
- Eccentric Black Hole Mergers in Dense Star Clusters: The Role of Binary-Binary Encounters
- Validating the effective-one-body model of spinning, precessing binary black holes against numerical relativity
- Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
- Gravitational wave astronomy
- Hierarchical data-driven approach to fitting numerical relativity data for nonprecessing binary black holes with an application to final spin and radiated energy
- The Transition from Inspiral to Plunge for a Compact Body in a Circular Equatorial Orbit Around a Massive, Spinning Black Hole
- Phasing of gravitational waves from inspiralling eccentric binaries
- Greatly enhanced merger rates of compact-object binaries in non-spherical nuclear star clusters
- Where post-Newtonian and numerical-relativity waveforms meet
- Multiband Gravitational-Wave Astronomy: Observing binary inspirals with a decihertz detector, B-DECIGO
- A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case
- Distinguishing Between Formation Channels for Binary Black Holes with LISA
- Ready-to-use post-Newtonian gravitational waveforms for binary black holes with non-precessing spins: An update
- Black Hole Perturbation
- Sixth post-Newtonian local-in-time dynamics of binary systems
- On the unreasonable effectiveness of the post-Newtonian approximation in gravitational physics
- Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits
- Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian
- Gravitational Recoil of Inspiralling Black-Hole Binaries to Second Post-Newtonian Order
- Measuring eccentricity in binary black hole inspirals with gravitational waves
- Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
- An eccentric binary black hole inspiral-merger-ringdown gravitational waveform model from numerical relativity and post-Newtonian theory
- Complete waveform model for compact binaries on eccentric orbits
- Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order
- Comparisons of eccentric binary black hole simulations with post-Newtonian models
- Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
- Frequency and time domain inspiral templates for comparable mass compact binaries in eccentric orbits
- Numerical relativity reaching into post-Newtonian territory: a compact-object binary simulation spanning 350 gravitational-wave cycles
- 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
- A 3PN Fourier Domain Waveform for Non-Spinning Binaries with Moderate Eccentricity
- Tidal effects in the gravitational-wave phase evolution of compact binary systems to next-to-next-to-leading post-Newtonian order
- Search for Eccentric Binary Neutron Star Mergers in the first and second observing runs of Advanced LIGO
- Black Hole Ringing, Quasinormal Modes, and Light Rings
- Fourier domain gravitational waveforms for precessing eccentric binaries
- A first survey of spinning eccentric black hole mergers: Numerical relativity simulations, hybrid waveforms, and parameter estimation
- Solving post-Newtonian accurate Kepler Equation
- Accuracy of Estimating Highly Eccentric Binary Black Hole Parameters with Gravitational-Wave Detections
- Detecting eccentric supermassive black hole binaries with pulsar timing arrays: Resolvable source strategies
- The 6th Post-Newtonian Potential Terms at
- Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Tail contributions and post-adiabatic corrections
- Analytical Black-Hole Binary Merger Waveforms
- Physics of eccentric binary black hole mergers: A numerical relativity perspective
- The Asymmetric Merger of Black Holes
- Improved gravitational radiation time-scales: significance for LISA and LIGO-Virgo sources
- The Eccentric Behavior of Inspiraling Compact Binaries
- Flux-balance equations for linear momentum and center-of-mass position of self-gravitating post-Newtonian systems
- The close limit of colliding black holes: an update
- Pulsar timing array signals induced by black hole binaries in relativistic eccentric orbits
- Post-Newtonian Approximation
- Analyzing Gravitational Waves with General Relativity
- The Close-Limit Approximation for Black Hole Binaries with Post-Newtonian Initial Conditions
- Pre-merger localization of eccentric compact binary coalescences with second-generation gravitational-wave detector networks
- A Complete Analytic Gravitational Wave Model for Undergraduates
- Reproducing GW150914: the first observation of gravitational waves from a binary black hole merger
- Gravitational waveforms for high spin and high mass-ratio binary black holes: A synergistic use of numerical-relativity codes