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The gravitational waveform of merging binary neutron stars encodes information about extreme states of matter. Probing these gravitational emissions requires the gravitational-wave detectors to have high sensitivity above 1 kHz. Fortunately…

General Relativity and Quantum Cosmology · Physics 2018-09-12 Haixing Miao , Huan Yang , Denis Martynov

The search for continuous gravitational-wave signals requires the development of techniques that can effectively explore the low-significance regions of the candidate set. In this paper we present the methods that were developed for a…

General Relativity and Quantum Cosmology · Physics 2015-03-11 Berit Behnke , Maria Alessandra Papa , Reinhard Prix

We review and expand on a Bayesian model selection technique for the detection of gravitational waves from neutron star ring-downs associated with pulsar glitches. The algorithm works with power spectral densities constructed from…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J Clark , I S Heng , M Pitkin , G Woan

We consider wave propagation problems over 2-dimensional domains with piecewise-linear boundaries, possibly including scatterers. We assume that the wave speed is constant, and that the initial conditions and forcing terms are radially…

Numerical Analysis · Mathematics 2025-03-14 Davide Pradovera , Monica Nonino , Ilaria Perugia

In general relativity, there is no dispersion in gravitational waves, while some modified gravity theories predict dispersion phenomena in the propagation of gravitational waves. In this paper, we demonstrate that this dispersion will…

General Relativity and Quantum Cosmology · Physics 2020-01-17 Shu-Cheng Yang , Wen-Biao Han , Shuo Xin , Chen Zhang

We analyze the effect of weak field gravitational waves on the timing of pulsars, with particular attention to gauge invariance, that is, to the effects that are independent of the choice of coordinates. We find: (i) the Doppler shift…

Astrophysics · Physics 2014-11-18 Teviet Creighton , Fredrick A. Jenet , Richard H. Price

The detection of signals with varying frequency is important in many areas of physics and astrophysics. The current work was motivated by a desire to detect gravitational waves from the binary inspiral of neutron stars and black holes, a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 F. A. Jenet , T. A. Prince

We describe an improved version of the Hough transform search for continuous gravitational waves from isolated neutron stars assuming the input to be short segments of Fourier transformed data. The method presented here takes into account…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alicia M. Sintes , Badri Krishnan

Inspiraling binaries of compact objects are primary targets for current and future gravitational-wave observatories. Waveforms computed in General Relativity are used to search for these sources, and will probably be used to extract source…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Michele Vallisneri , Nicolas Yunes

We lay the foundations for the construction of analytic expressions for Fourier-domain gravitational waveforms produced by eccentric, inspiraling compact binaries in a post-circular or small-eccentricity approximation. The time-dependent,…

General Relativity and Quantum Cosmology · Physics 2014-05-15 Nicolas Yunes , K. G. Arun , Emanuele Berti , Clifford M. Will

The detection and characterization of gravitational wave signals from compact binary coalescence events relies on accurate waveform templates in the frequency domain. The stationary phase approximation (SPA) can be used to compute…

General Relativity and Quantum Cosmology · Physics 2014-12-11 Antoine Klein , Neil Cornish , Nicolás Yunes

Gravitational waves potentially represent our only direct probe of the universe when it was less than one second old. In particular, first-order phase transitions in the early universe can generate a stochastic background of gravitational…

Astrophysics · Physics 2008-11-26 Tina Kahniashvili , Arthur Kosowsky , Grigol Gogoberidze , Yurii Maravin

A consistent approach for an exhaustive solution of the problem of propagation of light rays in the field of gravitational waves emitted by a localized source of gravitational radiation is developed in the first post-Minkowskian and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer , Carl R. Gwinn , T. Marshall Eubanks

The main aim of this study is the comparison of gravitational waveforms obtained from numerical simulations which employ different numerical evolution approaches and different wave-extraction techniques. For this purpose, we evolve an…

General Relativity and Quantum Cosmology · Physics 2009-03-11 Luca Baiotti , Sebastiano Bernuzzi , Giovanni Corvino , Roberto De Pietri , Alessandro Nagar

One of the greatest theoretical challenges in the build-up to the era of second-generation gravitational-wave detectors is the modeling of generic binary waveforms. We introduce an approximation that has the potential to significantly…

General Relativity and Quantum Cosmology · Physics 2013-03-12 Patricia Schmidt , Mark Hannam , Sascha Husa

Gravitational wave burst is a catch-all category for signals whose durations are shorter than the observation period. We apply a method new to gravitational wave data analysis --- Bayesian non-parameterics --- to the problem of…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Xihao Deng

We describe a novel approach to the detection and parameter estimation of a non\textendash Gaussian stochastic background of gravitational waves. The method is based on the determination of relevant statistical parameters using importance…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Riccardo Buscicchio , Anirban Ain , Matteo Ballelli , Giancarlo Cella , Barbara Patricelli

Doppler tracking of interplanetary spacecraft provides the only method presently available for broad-band searches of low frequency gravitational waves. The instruments have a peak sensitivity around the reciprocal of the round-trip…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Bruno Bertotti , Alberto Vecchio , Luciano Iess

Pulsar timing uses the highly stable pulsar spin period to investigate many astrophysical topics. In particular, pulsar timing arrays make use of a set of extremely well-timed pulsars and their time correlations as a challenging detector of…

Astrophysics of Galaxies · Physics 2021-12-16 Michele Maiorano , Francesco De Paolis , Achille A. Nucita

We show that using Fermi coordinates it is possible to describe the gravitational field of a wave using a gravitoelectromagnetic analogy. In particular, we show that using this approach, a new phenomenon, called gravitomagnetic resonance,…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Matteo Luca Ruggiero , Antonello Ortolan