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The emission of gravitational waves is studied for a system of massive objects interacting on hyperbolic orbits within the quadrupole approximation following the work of Capozziello et al. Here we focus on the derivation of an analytic…

General Relativity and Quantum Cosmology · Physics 2012-08-13 Lorenzo De Vittori , Philippe Jetzer , Antoine Klein

We derive an analytic expression for the energy spectrum of gravitational waves from a parabolic Keplerian binary by taking the limit of the Peters and Matthews spectrum for eccentric orbits. This demonstrates that the location of the peak…

General Relativity and Quantum Cosmology · Physics 2011-05-18 Christopher P. L. Berry , Jonathan R. Gair

The first calculation of the frequency spectrum of gravitational wave mass quadrupole radiation for binaries on hyperbolic orbits was performed in arXiv:1207.5359. Some shortcomings of their derivation were pointed out, but there are still…

General Relativity and Quantum Cosmology · Physics 2020-01-20 Matthias Gröbner , Philippe Jetzer , Maria Haney , Shubhanshu Tiwari , Wako Ishibashi

We revisit the production of gravitational waves from unstable domain walls analyzing their spectrum by the use of field theoretic lattice simulations with grid size $1024^3$, which is larger than the previous study. We have recognized that…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-21 Takashi Hiramatsu , Masahiro Kawasaki , Ken'ichi Saikawa

Compact object binaries formed from dynamics interactions will generically have non-zero orbital eccentricity. The gravitational waves from such binaries can change drastically depending on how large the eccentricity is, ranging from…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Nicholas Loutrel

The emission of gravitational waves from a system of massive objects interacting on hyperbolic orbits is studied in the quadrupole approximation. Analytic expressions are derived for the gravitational radiation luminosity, the total energy…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , M. De Laurentis , F. De Paolis , G. Ingrosso , A. Nucita

The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave…

Astrophysics · Physics 2010-04-21 Salvatore Capozziello , Mariafelicia De Laurentis

This contribution is divided in two parts. The first part provides a text-book level introduction to gravitational radiation. The key concepts required for a discussion of gravitational-wave physics are introduced. In particular, the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Nils Andersson , Kostas D Kokkotas

The ultrahigh frequency emission of gravitational waves by binary systems of black holes has recently been investigated in details in the framework of new experimental ideas around resonant cavities. In this article, we consider the case of…

General Relativity and Quantum Cosmology · Physics 2025-05-23 Pierre Jamet , Aurélien Barrau , Killian Martineau

The nonlinear aspect of gravitational wave generation that produces power at harmonics of the orbital frequency, above the fundamental quadrupole frequency, is examined to see what information about the source is contained in these higher…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ronald W. Hellings , Thomas A. Moore

We assess the detectability of the gravitational wave signals from highly eccentric compact binaries. We use a simple model for the inspiral, merger, and ringdown of these systems. The model is based on mapping the binary to an effective…

General Relativity and Quantum Cosmology · Physics 2013-02-14 William E. East , Sean T. McWilliams , Janna Levin , Frans Pretorius

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Mátyás Vasúth , János Majár

The energy spectrum of gravitational waves (GWs), which depicts the energy of GWs per unit volume of space per logarithmic frequency interval normalized to the critical density of the Universe, is a widely used way for quantifying the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-15 Rong-Gen Cai , Xing-Yu Yang , Long Zhao

The memory effect in gravitational wave (GW) signals is the phenomenon, wherein the relative position of two inertial GW detectors undergoes a permanent displacement owing to the passage of GWs through them. Measurement of the memory signal…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Arpan Hait , Subhendra Mohanty , Suraj Prakash

Most all-sky searches for continuous gravitational waves assume the source to be isolated. In this paper, we allow for an unknown companion object in a long-period orbit and opportunistically use previous results from an all-sky search for…

General Relativity and Quantum Cosmology · Physics 2023-03-24 Avneet Singh , Maria Alessandra Papa

Maximum gravitational wave emission from binary stars in eccentric orbits occurs near the periastron passage. We show that for a stationary distribution of binary neutron stars in the Galaxy, several high-eccentricity systems with orbital…

Astrophysics · Physics 2009-11-07 A. V. Gusev , V. B. Ignatiev , A. G. Kuranov , K. A. Postnov , M. E. Prokhorov

The direct detection of gravitational waves crowns decades of efforts in the modelling of sources and of increasing detectors' sensitivity. With future third-generation Earth-based detectors or space-based observatories, gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2018-10-17 Lorenzo Annulli , Laura Bernard , Diego Blas , Vitor Cardoso

Wide, highly eccentric ($e>0.9$) compact binaries can naturally arise as progenitors of gravitational wave (GW) mergers. These systems are expected to have a significant population in the mHz band (e.g., $\sim 3-45$ detectable stellar-mass…

High Energy Astrophysical Phenomena · Physics 2026-05-28 Zeyuan Xuan , Smadar Naoz , Alvin K. Y. Li , Bence Kocsis , Erik Petigura , Alan M. Knee , Jess McIver , Kyle Kremer , Will M. Farr

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

The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave…

General Relativity and Quantum Cosmology · Physics 2009-06-29 M. De Laurentis , S. Capozziello
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