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The Laser Interferometer Space Antenna (LISA) is a planned space-based gravitational wave telescope with the goal of measuring gravitational waves in the milli-Hertz frequency band, which is dominated by millions of Galactic binaries. While…

Instrumentation and Methods for Astrophysics · Physics 2023-07-11 Stefan H. Strub , Luigi Ferraioli , Cédric Schmelzbach , Simon C. Stähler , Domenico Giardini

It is proposed that the equations of motion in periodic relativity which yielded major predictions of general relativity are exact in nature and can be applied to pulsars and inspiraling compact binaries for analyzing orbital period…

General Physics · Physics 2024-01-23 Vikram H. Zaveri

In the study of gravitational waves (GWs), the stochastic background generated by compact binary systems are among the most important kinds of signals. The reason for such an importance has to do with their probable detection by the…

Cosmology and Nongalactic Astrophysics · Physics 2015-04-17 E. F. D. Evangelista , J. C. N. de Araujo

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

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

Extreme mass-ratio inspirals are among the key sources of gravitational waves for the Laser Interferometer Space Antenna space-based gravitational-wave detector. Achieving sufficient accuracy in the gravitational-wave template for these…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Gabriel Andres Piovano , Christiana Pantelidou , Jake Mac Uilliam , Vojtěch Witzany

The orbital and eccentricity evolution for compact object binaries through gravitational wave emission first derived by Peters and Mathews are used extensively throughout the gravitational wave community for calculating the orbital…

High Energy Astrophysical Phenomena · Physics 2026-03-23 Max M. Briel , Jeff J. Andrews

Abbreviated: We investigate the potential of detecting the gravitational wave from individual binary black hole systems using pulsar timing arrays (PTAs) and calculate the accuracy for determining the GW properties. This is done in a…

High Energy Astrophysical Phenomena · Physics 2015-05-27 K. J. Lee , N. Wex , M. Kramer , B. W. Stappers , C. G. Bassa , G. H. Janssen , R. Karuppusamy , R. Smits

I discuss the accuracy requirements on numerical relativity calculations of inspiraling compact object binaries whose extracted gravitational waveforms are to be used as templates for matched filtering signal extraction and physical…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Mark Miller

This thesis explores parameter estimation methods for rapidly reconstructing compact binary sources generating gravitational waves. It employs numerical linear algebra and meshfree approximation techniques to expedite waveform generation…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Lalit Pathak

Gravitational waves from a binary with a single dynamically significant spin, notably including precessing black hole-neutron star (BH-NS) binaries, let us constrain that binary's properties: the two masses and the dominant black hole spin.…

General Relativity and Quantum Cosmology · Physics 2015-09-23 R. O'Shaughnessy , P. Nepal , A. Lundgren

The polarization of electromagnetic waves in the presence of a gravitational wave is analyzed. The rotation of the polarization angle and the Stokes parameters are deduced. A possible application to the detection of stochastic background of…

General Relativity and Quantum Cosmology · Physics 2016-02-03 Shahen Hacyan

Observations by laser interferometric detectors of gravitational waves from inspiraling compact binary systems can be used to search for a dependence of the waves' propagation speed on wavelength, and thereby to bound the mass or Compton…

General Relativity and Quantum Cosmology · Physics 2009-07-22 K G Arun , Clifford M Will

Using the multipolar post-Minkowskian and matching formalism we compute the gravitational waveform of inspiralling compact binaries moving in quasi-circular orbits at the second and a half post-Newtonian (2.5PN) approximation to general…

General Relativity and Quantum Cosmology · Physics 2014-11-17 K G Arun , Luc Blanchet , Bala R Iyer , Moh'd S S Qusailah

Galactic binaries with orbital periods less than $\approx$1 hr are strong gravitational wave sources in the mHz regime, ideal for the Laser Interferometer Space Antenna (LISA). In fact, theory predicts that \emph{LISA} will resolve tens of…

Solar and Stellar Astrophysics · Physics 2019-04-04 Thomas Kupfer , Mukremin Kilic , Tom Maccarone , Eric Burns , Chris L. Fryer , Colleen A. Wilson-Hodge

The discovery of gravitational waves, which are ripples of space-time itself, opened a new window to test general relativity, because it predicts that there are only plus and cross polarizations for gravitational waves. For alternative…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Chunyu Zhang , Qing Gao , Yungui Gong , Bin Wang , Alan J. Weinstein , Chao Zhang

Black hole binaries with small mass ratios will be important sources for the forthcoming Laser Interferometer Space Antenna (LISA) mission. Models of such binaries also serve as useful tools for understanding the dynamics of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Devin R. Becker , Scott A. Hughes , Gaurav Khanna

Gravitational wave observations can potentially measure properties of neutron star equations of state by measuring departures from the point-particle limit of the gravitational waveform produced in the late inspiral of a neutron star…

General Relativity and Quantum Cosmology · Physics 2011-10-19 Charalampos Markakis , Jocelyn S. Read , Masaru Shibata , Koji Uryu , Jolien D. E. Creighton , John L. Friedman , Benjamin D. Lackey

Gravitational waves have only two polarization modes in General Relativity. However, there are six possible modes of polarization in metric theory of gravity in general. The tests of gravitational waves polarization can be tools for…

General Relativity and Quantum Cosmology · Physics 2018-07-19 Hiroki Takeda , Atsushi Nishizawa , Yuta Michimura , Koji Nagano , Kentaro Komori , Masaki Ando , Kazuhiro Hayama

We calculate the gravitational waveform for spinning, precessing compact binary inspirals through second post-Newtonian order in the amplitude. When spins are collinear with the orbital angular momentum and the orbits are quasi-circular, we…

General Relativity and Quantum Cosmology · Physics 2013-03-19 Alessandra Buonanno , Guillaume Faye , Tanja Hinderer
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