First-post-Newtonian generation of gravitational waves in Einstein-Cartan theory

Abstract

In this paper we investigate the gravitational-wave generation problem at the first post-Newtonian order in the context of Einstein-Cartan theory by exploiting the Blanchet-Damour formalism. The quantum intrinsic spin carried by slowly moving, weakly stressed, weakly self-gravitating sources is described geometrically by means of the torsion tensor. We obtain the expression of the source multipole moments with the required accuracy. The analysis of the physical meaning of the lowest-order non-radiative moments and of the asymptotic gravitational waveform is also performed. Eventually, we draw our conclusions and estimate the order of magnitude of the spin contributions in the gravitational-wave signal.

arXiv commentv2: 23 pages, 3 figures. Typos corrected in Eqs. (23), (75), (76), and (80)

References in corpus (86)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Modified Gravity and Cosmology
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• Extended Theories of Gravity
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• Evolution of Binary Black Hole Spacetimes
• Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo
• Effective one-body approach to general relativistic two-body dynamics
• General relativity as an effective field theory: The leading quantum corrections
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Frequency-domain gravitational waves from non-precessing black-hole binaries. II. A phenomenological model for the advanced detector era
• Cosmological Backgrounds of Gravitational Waves
• Transition from inspiral to plunge in binary black hole coalescences
• Is the gravitational-wave ringdown a probe of the event horizon?
• Gravitational Vacuum Condensate Stars
• Frequency-domain gravitational waves from non-precessing black-hole binaries. I. New numerical waveforms and anatomy of the signal
• Quantum Gravity in Everyday Life: General Relativity as an Effective Field Theory
• Black holes, gravitational waves and fundamental physics: a roadmap
• An Effective Field Theory of Gravity for Extended Objects
• The international pulsar timing array project: using pulsars as a gravitational wave detector
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• Inspiral-merger-ringdown waveforms for black-hole binaries with non-precessing spins
• KAGRA: 2.5 Generation Interferometric Gravitational Wave Detector
• Matching post-Newtonian and numerical relativity waveforms: systematic errors and a new phenomenological model for non-precessing black hole binaries
• Low-frequency gravitational-wave science with eLISA/NGO
• Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves
• A template bank for gravitational waveforms from coalescing binary black holes: non-spinning binaries
• Towards models of gravitational waveforms from generic binaries II: Modelling precession effects with a single effective precession parameter
• Spin effects in the inspiral of coalescing compact binaries
• Binary Neutron Star Mergers
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• The pre-inflationary dynamics of loop quantum cosmology: Confronting quantum gravity with observations
• The First Three Seconds: a Review of Possible Expansion Histories of the Early Universe
• An interferometric gravitational wave detector as a quantum-gravity apparatus
• Towards models of gravitational waveforms from generic binaries: A simple approximate mapping between precessing and non-precessing inspiral signals
• Spectral Methods for Numerical Relativity
• Post-Newtonian Gravitational Radiation and Equations of Motion via Direct Integration of the Relaxed Einstein Equations. I. Foundations
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Post-Newtonian gravitational radiation and equations of motion via direct integration of the relaxed Einstein equations. II. Two-body equations of motion to second post-Newtonian order, and radiation-reaction to 3.5 post-Newtonian order
• Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
• Compact binary systems in scalar-tensor gravity: Equations of motion to 2.5 post-Newtonian order
• Next-to-next-to-leading order spin-orbit effects in the gravitational wave flux and orbital phasing of compact binaries
• Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
• Novel approach to binary dynamics: application to the fifth post-Newtonian level
• Second-post-Newtonian generation of gravitational radiation
• Model comparison from LIGO-Virgo data on GW170817's binary components and consequences for the merger remnant
• Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant
• On the multipole expansion of the gravitational field
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Extraction of Gravitational Waves in Numerical Relativity
• 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
• Effective field theory methods to model compact binaries
• Evolution of Einstein-scalar-Gauss-Bonnet gravity using a modified harmonic formulation
• Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order
• Compact binary systems in scalar-tensor gravity. II. Tensor gravitational waves to second post-Newtonian order
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Cubic order spin effects in the dynamics and gravitational wave energy flux of compact object binaries
• Signatures of the Quantization of Gravity at Gravitational Wave Detectors
• Towards Cosmological Dynamics from Loop Quantum Gravity
• Next-to-next-to-leading order spin-orbit effects in the equations of motion of compact binary systems
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• Gravitational waveforms in scalar-tensor gravity at 2PN relative order
• Gravity-wave interferometers as probes of a low-energy effective quantum gravity
• Post-Newtonian approximation for isolated systems calculated by matched asymptotic expansions
• Quantum-Reduced Loop Gravity: Cosmology
• Next-to-next-to-leading order gravitational spin-orbit coupling via the effective field theory for spinning objects in the post-Newtonian scheme
• Exploring New Physics Frontiers Through Numerical Relativity
• The numerical relativity breakthrough for binary black holes
• Next-to-leading tail-induced spin-orbit effects in the gravitational radiation flux of compact binaries
• Spacetime Fluctuations in AdS/CFT
• Gravitational-wave tail effects to quartic non-linear order
• Gravitational-wave amplitudes for compact binaries in eccentric orbits at the third post-Newtonian order: Memory contributions
• Gravitational wave tests of quantum modifications to black hole structure -- with post-GW150914 update
• The mass quadrupole moment of compact binary systems at the fourth post-Newtonian order
• Einstein-Cartan Cosmologies
• Probing Einstein-dilaton Gauss-Bonnet Gravity with the inspiral and ringdown of gravitational waves
• Frenkel electron and a spinning body in a curved background
• Pulsars probe the low-frequency gravitational sky: Pulsar Timing Arrays basics and recent results
• Gravitational waves and geometrical optics in scalar-tensor theories
• High-order half-integral conservative post-Newtonian coefficients in the redshift factor of black hole binaries
• The HERMES-Technologic and Scientific Pathfinder
• Quasinormal modes of black holes with a scalar hair in Einstein-Maxwell-dilaton theory
• Numerical Relativity and High Energy Physics: Recent Developments
• Numerical Relativity and the Discovery of Gravitational Waves

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