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Data from gravitational wave detectors are recorded as time series that include contributions from myriad noise sources in addition to any gravitational wave signals. When regularly sampled data are available, such as for ground based and…

General Relativity and Quantum Cosmology · Physics 2020-12-23 Neil J. Cornish

Spherical gravitational wave is strictly forbidden in vacuum space in frame of general relativity by the Birkhoff theorem. We prove that spherical gravitational waves do exist in non-linear massive gravity, and find the exact solution.…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Hongsheng Zhang , Yang Huang

The gravitational wave detector of higher sensitivity and greater bandwidth in kilohertz window is required for future gravitational wave astronomy and cosmology. Here we present a new type broadband high frequency laser interferometer…

Instrumentation and Methods for Astrophysics · Physics 2021-07-15 Meng-Jun Hu , Shuai Zha , Yong-Sheng Zhang

We present data analysis methods used in detection and the estimation of parameters of gravitational wave signals from the white dwarf binaries in the mock LISA data challenge. Our main focus is on the analysis of challenge 3.1, where the…

General Relativity and Quantum Cosmology · Physics 2010-04-23 Arkadiusz Błaut , Stanislav Babak , Andrzej Królak

The Laser Interferometer Space Antenna (LISA), which is currently under construction, is designed to measure gravitational wave signals in the milli-Hertz frequency band. It is expected that tens of millions of Galactic binaries will be the…

Instrumentation and Methods for Astrophysics · Physics 2022-10-12 Stefan H. Strub , Luigi Ferraioli , Cedric Schmelzbach , Simon C. Stähler , Domenico Giardini

Detection of gravitational waves (GW) opened new windows on fundamental physics and it would be natural to search how the role of extra dimensional effects can be traced to gravitational wave physics. In this article, we consider a toy…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Mohammad. A Ganjali , Zainab Sedaghatmanesh

Coalescing compact binaries have been pointed out as the most promising source of gravitational waves for kilometer-size interferometers such as LIGO. Gravitational wave signals are extracted from the noise in the detectors by matched…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Karl Martel

In this paper, analytical solutions describing static and spherically symmetric sources in the decoupling limit of massive gravity are derived. We analyze the model parameter range and specify when a Vainshtein mechanism is possible.…

General Relativity and Quantum Cosmology · Physics 2011-11-28 Stefan Sjors , Edvard Mortsell

We discuss the optimal detection strategy for a stochastic background of gravitational waves in the case n detectors are available. In literature so far, only two cases have been considered: 2- and n-point correlators. We generalize these…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Orestis Malaspinas , Riccardo Sturani

In this article, which will appear as a chapter in the Handbook of Gravitational Wave Astronomy, we will describe the detection of gravitational waves with space-based interferometric gravitational wave observatories. We will provide an…

General Relativity and Quantum Cosmology · Physics 2022-01-27 Jonathan R Gair , Martin Hewitson , Antoine Petiteau , Guido Mueller

This chapter introduces the fundamental principles of gravitational wave detectors in a simple and comprehensive manner. Because these instruments aim for extremely high sensitivity, it is essential to understand their various noise…

Optics · Physics 2026-01-29 Marina Trad-Nery , Margherita Turconi , Walid Chaibi

A careful analysis of the gravitational geon solution found by Brill and Hartle is made. The gravitational wave expansion they used is shown to be consistent and to result in a gauge invariant wave equation. It also results in a gauge…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Paul R. Anderson , Dieter R. Brill

When a gravitational wave encounters a massive object along the line of sight, repeated copies of the original signal may be produced due to gravitational lensing. In this paper, we develop a series of new machine-learning based statistical…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Giulia Campailla , Marco Raveri , Wayne Hu , Jose María Ezquiaga

With the recent strong developments of TianQin and Taiji, we now have an increasing chance to make a correlation analysis in the mHz band by operating them together with LISA. Assuming two LISA-like triangular detectors at general…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Naoki Seto

The future detection projects of gravitational waves are expected to have the sensitivity of detecting the primordial gravitational waves, which may be useful to get new insight into the very early universe. It is essential to analyze the…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-01 Tadashi Sasaki , Hisao Suzuki

Space-based gravitational wave (GW) detectors will be able to observe signals from sources that are otherwise nearly impossible from current ground-based detection. Consequently, the well established signal detection method, matched…

General Relativity and Quantum Cosmology · Physics 2023-08-17 Tianyu Zhao , Ruoxi Lyu , He Wang , Zhoujian Cao , Zhixiang Ren

In the general theory of relativity, gravitational waves have two possible polarizations, which are transverse and traceless with helicity $\pm 2$. Some alternatives theories contain additional helicity $0$ and helicity $\pm 1$ polarization…

General Relativity and Quantum Cosmology · Physics 2019-03-25 Bruce Allen

We propose a new detection method for gravitational wave bursts. It analyzes observed data with the Hilbert-Huang transform, which is an approach of time-frequency analysis constructed with the aim of manipulating non-linear and…

Instrumentation and Methods for Astrophysics · Physics 2016-06-14 Kazuki Sakai , Ken-ichi Oohara , Masato Kaneyama , Hirotaka Takahashi

We propose a space-based interferometer surveying the gravitational wave (GW) sky in the milli-Hz to $\mu$-Hz frequency range. By the 2040s', the $\mu$-Hz frequency band, bracketed in between the Laser Interferometer Space Antenna (LISA)…

Just like light, gravitational waves (GWs) are deflected and magnified by gravitational fields as they propagate through the Universe. However, their low frequency, phase coherence and feeble coupling to matter allow for distinct lensing…

Cosmology and Nongalactic Astrophysics · Physics 2023-11-29 Giovanni Tambalo , Miguel Zumalacárregui , Liang Dai , Mark Ho-Yeuk Cheung