Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · 1606.03117

Analytic gravitational waveforms for generic precessing compact binaries

Katerina Chatziioannou·Antoine Klein·Neil Cornish·Nicolas Yunes
View original source ↗Read source document ↗Export metadata ↓

Abstract

Binary systems of two compact objects circularize and spiral toward each other via the emission of gravitational waves. The coupling of the spins of each object with the orbital angular momentum causes the orbital plane to precess, which leads to modulation of the gravitational wave signal. Until now, generating frequency-domain waveforms for fully precessing systems for use in gravitational wave data analysis meant numerically integrating the equations of motion, then Fourier transforming the result, which is very computationally intensive for systems that complete hundreds or thousands of cycles in the sensitive band of a detector. Previously, analytic solutions were only available for certain special cases or for simplified models. Here we describe the construction of closed-form, frequency-domain waveforms for fully-precessing, quasi-circular binary inspirals.

Explore related subjects

gr-qcastro-ph.HE

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Katerina Chatziioannou, Antoine Klein, Neil Cornish, Nicolas Yunes. 2017-02-07. Analytic gravitational waveforms for generic precessing compact binaries. https://doi.org/10.1103/physrevlett.118.051101

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

General Relativistic Chronometry with Clocks on Ground and in Space

One of the main tasks of geodesy is to determine the gravity field of the Earth from measurements performed on ground and in space. High-precision clock comparison has the potential to provide a new observable for the global determination of the Earth's gravitational potential through the gravitational redshift. Towards such a global chronometric geodesy, we derive a general relativistic framework beyond the post-Newtonian level for the relativistic redshift and the timing between observers in stationary spacetimes. These observers are equipped with standard clocks and may move along arbitrary worldlines. The redshift is factorized into geometric, transversal-Doppler, and longitudinal-Doppler contributions, providing a transparent separation of gravitational and kinematic effects. We then show how redshift measurements involving clocks on ground and/or in space can, in principle, be used to determine the mass multipole moments of the underlying spacetime. In the weak field limit, our results recover the corresponding Newtonian and post-Newtonian expressions. The framework is illustrated for different exact vacuum spacetimes and provides a theoretical basis for using clock comparisons as an additional observable for gravity-field recovery and future relativistic geodesy missions.

gr-qc↗
arXiv2026

DESI DR2 Constraints on Coupled Hu--Sawicki $f(R)$ Gravity with Interacting Neutrinos: Implications for the Hubble and \(S_8\) Tensions

We investigate the cosmological implications of viable Hu--Sawicki \(f(R)\) gravity models and their extension through an effective interaction with the neutrino sector. Motivated by the persistent \(H_0\) and \(S_8\) tensions, we explore whether the combined effects of modified gravity, neutrino free-streaming, and dark-sector interaction can alleviate these discrepancies while remaining consistent with current cosmological observations. Starting from the metric formulation of \(f(R)\) gravity, we derive the modified background and perturbation equations and implement the resulting cosmological scenario within the {MontePython}/{hi\_class} framework. A comprehensive Bayesian MCMC analysis is performed using combinations of Planck 2018 CMB data, CMB lensing, DESI DR2 BAO measurements, Cosmic Chronometers, and Pantheon supernova observations. Our results show that the interacting Hu--Sawicki scenario provides a noticeable improvement over both the standard \(Λ\)CDM cosmology and the non-interacting \(f(R)\) framework. In particular, the interacting model shifts the inferred Hubble constant toward larger values, yielding \(H_0 = 70.21 \pm 1.60~{\rm km~s^{-1}Mpc^{-1}}\), while simultaneously lowering the clustering amplitude to \(S_8 = 0.796 \pm 0.009\). Consequently, the residual tensions with SH0ES R22 and DES-Y6 are reduced to nearly the \(1σ\) level. From the statistical perspective, the interacting model provides the best overall fit according to the Akaike Information Criterion, with \(Δχ^2 \simeq -45\) relative to \(Λ\)CDM. The obtained neutrino mass constraints remain fully consistent with current cosmological bounds, with \(\sum m_ν< 0.122~{\rm eV}\). These results suggest that interacting modified-gravity scenarios offer a viable route to moderately easing both late-time tensions at once.

gr-qc↗
arXiv2026

Decoherence of ergotropy of a relativistic battery as a probe of motion-selected Unruh thermality in Minkowski spacetime

We put forward a physical model of a relativistic Unruh-DeWitt battery moving along a general accelerated trajectory, including a linear motion and a circular motion with a reflecting boundary. The maximal amount of quantum work extraction, defined as the ergotropy, serves as a witness to Unruh effect modified by motion trajectories. It is found out that for a very low Unruh temperature, linear motion yields a high amount of ergotropy, while for a high temperature, circular motion becomes optimal for estimating the Unruh effect. For a specific acceleration, the ergotropy is the same for two different trajectories. The behavior demonstrates that, in a certain condition, one can simulate the work extraction of the accelerated battery in a linear motion by exploring the battery in circular motion. The observed ergotropy for the thermality is closely related to quantum coherence affected by spacetime vacuum fluctuations. In the presence of a reflecting boundary plane, we study different ways for the dynamics of the ergotropy. When the battery moves near the boundary, the prominent oscillation of the ergotropy will happen and exhibit some large instantaneous peaks. The interesting phenomenon results from the protection of quantum coherence for the accelerated battery in the vicinity of the boundary. Far away from the boundary, the oscillation behavior can be suppressed and the ergotropy rapidly arrives at a steady value. By contrast, the circular motion contributes to prolonging the oscillation evolution. The asymptotic amount of the ergotropy can rise progressively up to a saturation value with increasing the distance from the circular trajectory to the boundary plane. From the perspective of energy transfer, optimized quantum work extraction for the accelerated battery moving along a selected motion with a boundary plane is advantageous for probing Unruh thermality.

gr-qc↗