Efficient gravitational-wave model for fully-precessing and moderately-eccentric, compact binary inspirals

Abstract

Future gravitational-wave detectors, especially the Laser Interferometer Space Antenna (LISA), will be sensitive to black hole binaries formed in astrophysical environments that promote large eccentricities and spin-induced orbital precession. Approximate models of gravitational waves that include both effects have only recently begun to be developed. The Efficient Fully Precessing Eccentric (EFPE) family is one such model, covering the inspiral stage with small-eccentricity-expanded gravitational-wave amplitudes accurate for initial time eccentricities $e<0.3$ at 4 years before reaching an orbital frequency of 1 Hz. In this work, we extend this model to cover a larger range of initial eccentricities. The new EFPE for moderate eccentricities (EFPE_ME) model is able to accurately represent the leading-order gravitational-wave amplitudes to $e\le 0.8$. Comparing the EFPE and the EFPE_ME models in the LISA band, however, reveals that there is no significant difference when the eccentricity at 4 years before merger, $e_0$, is less than or equal to 0.5, as radiation reaction circularizes supermassive black hole binaries too quickly. This suggests that the EFPE model may have a larger regime of validity in eccentricity space than previously thought, making it suitable for some inspiral parameter estimation with LISA data. On the other hand, for systems with $e_0>0.5$, the deviations between the models are significant, particularly for binaries with total masses below $10^5{\mathrm{M}}_{\odot }$. This suggests that the EFPE_ME model will be crucial to avoid systematic bias in parameter estimation with LISA in the future, once this model has been hybridized to include the merger and ringdown and the computation of the amplitudes is optimized.

23 pages, 10 figures; matches published version

References in corpus (10)

• Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
• Illuminating Black Hole Binary Formation Channels with Spins in Advanced LIGO
• Analysis of spin precession in binary black hole systems including quadrupole-monopole interaction
• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
• Third post-Newtonian gravitational waveforms for compact binary systems in general orbits: Instantaneous terms
• Solving post-Newtonian accurate Kepler Equation
• Fast Frequency-domain Waveforms for Spin-Precessing Binary Inspirals
• Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries
• Spin-eccentricity interplay in merging binary black holes

Cited by in corpus (13)

• The Science of the Einstein Telescope
• Accurate waveforms for eccentric, aligned-spin binary black holes: The multipolar effective-one-body model SEOBNRv5EHM
• Gravitational Wave Astronomy With TianQin
• Improved post-Newtonian waveform model for inspiralling precessing-eccentric compact binaries
• Systematic biases due to waveform mismodeling in parametrized post-Einsteinian tests of general relativity: The impact of neglecting spin precession and higher modes
• Orbital eccentricity in general relativity from catastrophe theory
• Time-domain phenomenological multipolar waveforms for aligned-spin binary black holes in elliptical orbits
• Defining eccentricity for spin-precessing binaries
• A geometric template bank for the detection of spinning low-mass compact binaries with moderate orbital eccentricity
• Parametrized tests of general relativity using eccentric compact binaries
• Modeling Gravitational Wave Modes from the Inspiral of Binaries with Arbitrary Eccentricity
• Testing modified gravity with the eccentric neutron star--black hole merger GW200105
• Prospects for detecting asteroid-mass primordial black holes in extreme mass-ratio inspirals with continuous gravitational waves