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Localizing sources on the sky is crucial for realizing the full potential of gravitational waves for astronomy, astrophysics, and cosmology. We show that the mid-frequency band, roughly 0.03 to 10 Hz, has significant potential for angular…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Peter W. Graham , Sunghoon Jung

We consider effects of the Earth rotation on antenna patterns of a ground-based gravitational wave (GW) detector in a general metric theory that allows at most six polarization states (two spin-0, two spin-1 and two spin-2) in a…

General Relativity and Quantum Cosmology · Physics 2022-08-22 Naoto Kuwahara , Hideki Asada

Gravitational waves deliver information in exquisite detail about astrophysical phenomena, among them the collision of two black holes, a system completely invisible to the eyes of electromagnetic telescopes. Models that predict…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Deirdre Shoemaker , Karan Jani , Lionel London , Larne Pekowsky

In a general metric theory of gravitation in four dimensions, six polarizations of a gravitational wave are allowed: two scalar and two vector modes, in addition to two tensor modes in general relativity. Such additional polarization modes…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-06 Atsushi Nishizawa , Atsushi Taruya , Kazuhiro Hayama , Seiji Kawamura , Masa-aki Sakagami

The article provides full-analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi-analytical property of recent descriptions, i.e. the demand of…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Manuel Tessmer , Gerhard Schaefer

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

We propose a coherent method for the detection and reconstruction of gravitational wave signals for a network of interferometric detectors. The method is derived using the likelihood functional for unknown signal waveforms. In the standard…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Klimenko , S. Mohanty , M. Rakhmanov , G. Mitselmakher , .

Similar to the light, gravitational waves traveling in multiple paths may arrive at the same location if there is a gravitational lens on their way. Apart from the magnification of the amplitudes and the time delay between the gravitational…

General Relativity and Quantum Cosmology · Physics 2019-09-19 Shaoqi Hou , Xi-Long Fan , Zong-Hong Zhu

Gravitational waves imprint apparent Doppler shifts on the frequency of photons propagating between an emitter and detector of light. This forms the basis of a method to detect gravitational waves using Doppler velocimetry between pairs of…

Atomic Physics · Physics 2015-06-25 Amar C. Vutha

The hypothesis of an alternative way of obtaining gravitational waves is the physical motivation of this article. Using the linear field approximation and a symmetry transformation of the affine connection, new field equations and new gauge…

General Physics · Physics 2022-09-14 Sergio Giardino

The use of a high precision pulsar timing array is a promising approach to detecting gravitational waves in the very low frequency regime ($10^{-6} -10^{-9}$ Hz) that is complementary to the ground-based efforts (e.g., LIGO, Virgo) at high…

Instrumentation and Methods for Astrophysics · Physics 2015-06-22 Yan Wang , Soumya D. Mohanty , Fredrick A. Jenet

This paper defines an angular velocity for time-dependent functions on the sphere, and applies it to gravitational waveforms from compact binaries. Because it is geometrically meaningful and has a clear physical motivation, the angular…

General Relativity and Quantum Cosmology · Physics 2017-10-27 Michael Boyle

Unlike ground-based gravitational wave detectors, space-based gravitational wave detectors can detect the ringdown signals from massive black hole mergers with large signal-to-noise ratios, help to localize sources and extract their…

General Relativity and Quantum Cosmology · Physics 2021-11-01 Chunyu Zhang , Yungui Gong , Chao Zhang

A pulsar timing array is a Galactic-scale detector of nanohertz gravitational waves (GWs). Its target signals contain two components: the `Earth term' and the `pulsar term' corresponding to GWs incident on the Earth and pulsar respectively.…

Instrumentation and Methods for Astrophysics · Physics 2016-07-06 Xingjiang Zhu , Linqing Wen , Jie Xiong , Yanjun Xu , Yan Wang , Soumya D. Mohanty , George Hobbs , Richard N. Manchester

Pulsar timing experiments aimed at the detection of gravitational radiation have been performed for decades now. With the forthcoming construction of large arrays capable of tracking multiple millisecond pulsars, it is very likely we will…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Marcio Eduardo da Silva Alves , Massimo Tinto

We provide an observation method for gravitational waves using a pulsar timing array to extend the observational frequency range up to the rotational frequency of pulsars. For this purpose, we perform an analysis of a perturbed…

General Relativity and Quantum Cosmology · Physics 2022-02-04 Chan Park

The detection of gravitational waves opened up a new window to look into the Universe by probing phenomena invisible through electromagnetic observations. As gravitational waves interact very weakly with matter, their detection is…

General Relativity and Quantum Cosmology · Physics 2025-05-29 Soumen Roy , Bruno Bertrand , Justin Janquart

In this technical note, we study the possibility of using networks of ground-based detectors to directly measure gravitational-wave polarizations using signals from compact binary coalescences. We present a simple data analysis method to…

General Relativity and Quantum Cosmology · Physics 2017-10-12 Maximiliano Isi , Alan J. Weinstein

General Relativity predicts only two tensor polarization modes for gravitational waves while at most six possible polarization modes are allowed in general metric theory of gravity. The number of polarization modes is determined by the…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Chao Zhang , Yungui Gong , Dicong Liang , Chunyu Zhang

Gravitational wave (GW) detection in space is aimed at low frequency band (100 nHz - 100 mHz) and middle frequency band (100 mHz - 10 Hz). The science goals are the detection of GWs from (i) Supermassive Black Holes; (ii) Extreme-Mass-Ratio…

Instrumentation and Methods for Astrophysics · Physics 2016-12-06 Wei-Tou Ni