Spin effects in Spherical Harmonic Modes of Gravitational Waves from Eccentric Compact Binary Inspirals

Abstract

We compute the leading and sub-leading spin effects through the second post-Newtonian order (2PN) in spherical harmonic modes of gravitational waveforms from inspiralling compact binaries in non-circular orbits with non-precessing components. The two spin couplings, linear-in-spin (spin-orbit; SO) and quadratic-in-spin (spin-spin; SS), that appear in 2PN waveforms are computed with desired accuracy and explicit expressions for relevant modes are derived. The modes that have spin corrections through 2PN include $(\ell ,|m|)$=$((2,2),(2,1),(3,3),(3,2),(3,1),(4,3),(4,1))$ modes. Closed form expressions for these modes for compact binaries in general orbits as well as in elliptical orbits are being provided. While the general orbit results can be used to study signals from binaries in orbits of arbitrary shape and nature, elliptical orbit results are applicable to systems with arbitrary eccentricities. We also express the elliptical orbit results as leading eccentric corrections to the circular results. Our prescription represents, the first, fully analytical treatment that combines spins, eccentricity and higher modes together and completes computation of spin effects through 2PN order. These should find immediate applications in inspiral-merger-ringdown modelling for eccentric mergers including the effect of non-precessing spins and higher modes as well as in parameter estimation analyses employing inspiral waveform.

arXiv comment19 pages, 0 figures, version as accepted in PRD

References in corpus (64)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• Advanced LIGO
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
• Observation of gravitational waves from two neutron star-black hole coalescences
• Properties and astrophysical implications of the 150 Msun binary black hole merger GW190521
• Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms
• GW150914: First results from the search for binary black hole coalescence with Advanced LIGO
• Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms
• Higher-order spin effects in the dynamics of compact binaries II. Radiation field
• The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
• Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
• Third post-Newtonian accurate generalized quasi-Keplerian parametrization for compact binaries in eccentric orbits
• General relativistic dynamics of compact binaries at the third post-Newtonian order
• A Gravitational Wave Detector with Cosmological Reach
• Gravitational waves from inspiralling compact binaries: Energy flux to third post-Newtonian order
• Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
• Using Full Information When Computing Modes of Post-Newtonian Waveforms From Inspiralling Compact Binaries in Circular Orbit
• Dimensional regularization of the third post-Newtonian gravitational wave generation from two point masses
• Next-to-next-to-leading order spin-orbit effects in the gravitational wave flux and orbital phasing of compact binaries
• Ready-to-use post-Newtonian gravitational waveforms for binary black holes with non-precessing spins: An update
• Evidence for hierarchical black hole mergers in the second LIGO--Virgo gravitational-wave catalog
• Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
• The third and a half post-Newtonian gravitational wave quadrupole mode for quasi-circular inspiralling compact binaries
• Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
• Measuring eccentricity in binary black hole inspirals with gravitational waves
• An eccentric binary black hole inspiral-merger-ringdown gravitational waveform model from numerical relativity and post-Newtonian theory
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Search for Eccentric Binary Black Hole Mergers with Advanced LIGO and Advanced Virgo during their First and Second Observing Runs
• Four eccentric mergers increase the evidence that LIGO--Virgo--KAGRA's binary black holes form dynamically
• 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
• On Estimation of the Post-Newtonian Parameters in the Gravitational-Wave Emission of a Coalescing Binary
• Next-to-next-to-leading order spin-orbit effects in the equations of motion of compact binary systems
• Spin effects on gravitational waves from inspiraling compact binaries at second post-Newtonian order
• Signs of eccentricity in two gravitational-wave signals may indicate a sub-population of dynamically assembled binary black holes
• Constraining the orbital eccentricity of inspiralling compact binary systems with Advanced LIGO
• Hadamard regularization of the third post-Newtonian gravitational wave generation of two point masses
• The Effect of Eccentricity on Searches for Gravitational-Waves from Coalescing Compact Binaries in Ground-based Detectors
• Radiation-reaction force and multipolar waveforms for eccentric, spin-aligned binaries in the effective-one-body formalism
• A 3PN Fourier Domain Waveform for Non-Spinning Binaries with Moderate Eccentricity
• Effect of eccentricity on binary neutron star searches in Advanced LIGO
• Next-to-next-to-leading order gravitational spin-orbit coupling via the effective field theory for spinning objects in the post-Newtonian scheme
• Tail-induced spin-orbit effect in the gravitational radiation of compact binaries
• Fourier domain gravitational waveforms for precessing eccentric binaries
• Third post-Newtonian gravitational waveforms for compact binary systems in general orbits: Instantaneous terms
• Next-to-leading tail-induced spin-orbit effects in the gravitational radiation flux of compact binaries
• Solving post-Newtonian accurate Kepler Equation
• Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries
• Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Tail contributions and post-adiabatic corrections
• Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Memory contributions
• Spin effects in the phasing of gravitational waves from binaries on eccentric orbits
• Gravitational Waveforms for Precessing, Quasi-circular Binaries via Multiple Scale Analysis and Uniform Asymptotics: The Near Spin Alignment Case
• Spin contributions to the gravitational-waveform modes for spin-aligned binaries at the 3.5PN order
• Fusing numerical relativity and deep learning to detect higher-order multipole waveforms from eccentric binary black hole mergers
• High accuracy post-Newtonian and numerical relativity comparisons involving higher modes for eccentric binary black holes and a dominant mode eccentric inspiral-merger-ringdown model
• Gravitational waveforms for spinning compact binaries
• Gravitational Waveforms for Precessing, Quasicircular Compact Binaries with Multiple Scale Analysis: Small Spin Expansion
• Numerical relativity higher order gravitational waveforms of eccentric, spinning, non-precessing binary black hole mergers
• Gravitational waveforms for finite mass binaries

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