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Related papers: Electromagnetic fields in compact binaries: post-N…

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We obtain an efficient description for the dynamics of nonspinning compact binaries moving in inspiralling eccentric orbits to implement the phasing of gravitational waves from such binaries at the 3.5 post-Newtonian (PN) order. Our…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Christian Koenigsdoerffer , Achamveedu Gopakumar

Contents: I. Introduction; II. Summary of optimal signal filtering; III. Newtonian binary polarization waveforms; IV. Newtonian orbital phase evolution; V. Post-Newtonian wave-generation; VI. Inspiral binary waveform.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luc Blanchet

The purpose of this thesis is to calculate the relativistic correction to the gravitational waves produced by compact binaries in the inspiral phase. The correction is up to the next to leading order, the so-called first post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2022-09-26 Vegard Undheim

This paper describes the different steps to include the adiabatic tidal effects to the gravitational waveform amplitude for quasi-circular non-spinning compact binaries up to the second-and-a-half post-Newtonian (PN) order. The amplitude,…

General Relativity and Quantum Cosmology · Physics 2025-04-18 Eve Dones , Quentin Henry , Laura Bernard

Gravity theories beyond General Relativity typically predict dipolar gravitational emission by compact-star binaries. This emission is sourced by "sensitivity" parameters depending on the stellar compactness. We introduce a general…

General Relativity and Quantum Cosmology · Physics 2015-11-25 Enrico Barausse , Kent Yagi

We model two mergers of orbiting binary neutron stars, the first forming a black hole and the second a differentially rotating neutron star. We extract gravitational waveforms in the wave zone. Comparisons to a post-Newtonian analysis allow…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Matthew Anderson , Eric W. Hirschmann , Luis Lehner , Steven L. Liebling , Patrick M. Motl , David Neilsen , Carlos Palenzuela , Joel E. Tohline

We consider gravitational waves emitted by various populations of compact binaries at cosmological distances. We use population synthesis models to characterize the properties of double neutron stars, double black holes and double white…

We present Keplerian-type parametrization for the solution of third post-Newtonian (3PN) accurate equations of motion for two non-spinning compact objects moving in an eccentric orbit. The orbital elements of the parametrization are…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Raoul-Martin Memmesheimer , Achamveedu Gopakumar , Gerhard Schäfer

This work is the first in a series of studies aimed at understanding the dynamics of highly eccentric binary neutron stars, and constructing an appropriate gravitational-waveform model for detection. Such binaries are possible sources for…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Huan Yang , William E. East , Vasileios Paschalidis , Frans Pretorius , Raissa F. P. Mendes

We discuss gravitational waves from merging binaries using a Newtonian approach with some inputs from the Post-Newtonian formalism. We show that it is possible to understand the key features of the signal using fundamental physics and also…

Popular Physics · Physics 2019-12-20 Jahanvi , Ashish Kumar Meena , J. S. Bagla

Gravitational-wave astronomy will soon become a new tool for observing the Universe. Detecting and interpreting gravitational waves will require deep theoretical insights into astronomical sources. The past three decades have seen…

General Relativity and Quantum Cosmology · Physics 2015-04-03 Alessandra Buonanno , B. S. Sathyaprakash

The problem of a compact binary system whose components move on circular orbits is addressed using two different approximation techniques in general relativity. The post-Newtonian (PN) approximation involves an expansion in powers of…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Luc Blanchet , Steven Detweiler , Alexandre Le Tiec , Bernard F. Whiting

We propose a novel method to test the consistency of the multipole moments of compact binary systems with the predictions of General Relativity (GR). The multipole moments of a compact binary system, known in terms of symmetric and…

General Relativity and Quantum Cosmology · Physics 2019-01-16 Shilpa Kastha , Anuradha Gupta , K. G. Arun , B. S. Sathyaprakash , Chris Van Den Broeck

Gravitational radiation-reaction phenomena occurring in the dynamics of inspiralling compact binary systems are investigated at the first post-Newtonian order beyond the quadrupole approximation in the context of Einstein-Cartan theory,…

General Relativity and Quantum Cosmology · Physics 2024-02-09 Vittorio De Falco , Emmanuele Battista , Davide Usseglio , Salvatore Capozziello

Gravitational waves from the coalescence of two black holes carry the signature of the strong field dynamics of binary black holes. In this work we have used numerical relativity simulations and post-Newtonian theory to investigate this…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Ssohrab Borhanian , K. G. Arun , Harald P. Pfeiffer , B. S. Sathyaprakash

The rotation of the bodies and the eccentricity of the orbit have significant effects on the emitted gravitational radiation of binary systems. This work focuses on the evaluation of the gravitational wave polarization states for spinning…

General Relativity and Quantum Cosmology · Physics 2008-11-26 János Majár , Mátyás Vasúth

In this work we consider compact binaries on eccentric orbit under the spin-spin interaction. Using the post-Newtonian formalism, the binaries undergo a perturbed Keplerian motion. Here we investigate only the radial motion and derive the…

Astrophysics · Physics 2007-05-23 Zoltán Keresztes , Balázs Mikóczi

We apply the Lagrangian method to study the post-Newtonian evolution of a compact binary system with environmental effects, including a dark matter spike, and obtain the resulting gravitational wave emission. This formalism allows one to…

General Relativity and Quantum Cosmology · Physics 2024-11-19 Diego Montalvo , Adam Smith-Orlik , Saeed Rastgoo , Laura Sagunski , Niklas Becker , Hazkeel Khan

The possibility of forming gravitational-wave sources with high center-of-mass (c.m.) velocities in the vicinity of supermassive black holes requires us to develop a method of deriving the waveform in the observer's frame. Here we show that…

General Relativity and Quantum Cosmology · Physics 2023-07-07 Han Yan , Xian Chen , Alejandro Torres-Orjuela

The accuracy of the post-Newtonian waveforms, both in standard and Pade form, is determined by computing their matched-filtering overlap integral with a reference waveform obtained from black-hole perturbation theory.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Eric Poisson