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Pulsar timing arrays (PTAs) provide a way to detect gravitational waves at nanohertz frequencies. In this band, the most likely signals are stochastic, with a power spectrum that rises steeply at lower frequencies. Indeed, the observation…

Instrumentation and Methods for Astrophysics · Physics 2023-06-02 Bruce Allen , Sanjeev Dhurandhar , Yashwant Gupta , Maura McLaughlin , Priyamvada Natarajan , Ryan M. Shannon , Eric Thrane , Alberto Vecchio

In general relativity, a gravitational wave has two polarization modes (tensor mode), but it could have additional polarizations (scalar and vector modes) in the early stage of the universe, where the general relativity may not strictly…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Atsushi Nishizawa , Atsushi Taruya , Seiji Kawamura

Pulsar timing arrays aim to detect nanohertz-frequency gravitational waves (GWs). A background of GWs modulates pulsar arrival times and manifests as a stochastic process, common to all pulsars, with a signature spatial correlation. Here we…

Pulsar timing experiments are currently searching for gravitational waves, and this dissertation focuses on the development and study of the pulsar timing residual models used for continuous wave searches. The first goal of this work is to…

General Relativity and Quantum Cosmology · Physics 2023-01-09 Casey McGrath

The strong evidence for low-frequency gravitational waves from pulsar timing arrays (PTAs), published in 2023, has widened the scope for teaching about gravitational wave astronomy. This article provides a simple, unified overview of the…

General Relativity and Quantum Cosmology · Physics 2025-05-27 Markus Pössel

Inflation predicts specific relations between the amplitudes and spectral indices of the primordial spectrum of density (scalar metric) perturbations and gravitational waves (tensor metric perturbations). Detection of a stochastic…

Astrophysics · Physics 2016-08-25 Marc Kamionkowski , Arthur Kosowsky

There exist six possible polarization modes of gravitational waves in general metric theory of gravity, while two tensor polarization modes are allowed in general relativity. The properties and number of polarization modes depend on gravity…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Hiroki Takeda , Atsushi Nishizawa , Koji Nagano , Yuta Michimura , Kentaro Komori , Masaki Ando , Kazuhiro Hayama

If the cosmological QCD phase transition is strongly first order and lasts sufficiently long, it generates a background of gravitational waves which may be detected via pulsar timing experiments. We estimate the amplitude and the spectral…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-21 Chiara Caprini , Ruth Durrer , Xavier Siemens

In some beyond-Einstein theories of gravity, gravitational waves can contain up to six polarizations, which are allowed to propagate at different speeds faster than light. These different propagation speeds imply that polarizations…

General Relativity and Quantum Cosmology · Physics 2025-01-31 Kristen Schumacher , Colm Talbot , Daniel E. Holz , Nicolás Yunes

Pulsar timing arrays (PTAs) are searching for nanohertz-frequency gravitational waves (GWs) through cross-correlation of pulse arrival times from a set of radio pulsars. PTAs have relied upon a frequency-shift formula of the pulse, where…

High Energy Astrophysical Phenomena · Physics 2024-07-03 Ryousuke Kubo , Kakeru Yamahira , Hideki Asada

Pulsar timing arrays (PTAs) are ensembles of millisecond pulsars observed for years to decades. The primary goal of PTAs is to study gravitational-wave astronomy at nanohertz frequencies, with secondary goals of undertaking other…

By regularly monitoring the most stable millisecond pulsars over many years, pulsar timing arrays (PTAs) are positioned to detect and study correlations in the timing behaviour of those pulsars. Gravitational waves (GWs) from supermassive…

Pulsars can be used to search for stochastic backgrounds of gravitational waves of cosmological origin within the very low frequency band (VLF), $10^{-7}$ to $10^{-9}$ Hz. We propose to construct a special 50 m radio telescope. Regular…

Astrophysics · Physics 2008-11-26 Shou-Guan Wang , Zong-Hong Zhu , Zhen-Long Zou , Yuan-Zhong Zhang

A world-wide array of highly sensitive interferometers stands poised to usher in a new era in astronomy with the first direct detection of gravitational waves. The data from these instruments will provide a unique perspective on extreme…

General Relativity and Quantum Cosmology · Physics 2013-02-27 Neil J. Cornish

A cosmological first-order phase transition is expected to produce a stochastic gravitational wave background. If the phase transition temperature is on the MeV scale, the power spectrum of the induced stochastic gravitational waves peaks…

A pulsar timing array (PTA) refers to a program of regular, high-precision timing observations of a widely distributed array of millisecond pulsars. Here we review the status of the three primary PTA projects and the joint International…

Instrumentation and Methods for Astrophysics · Physics 2019-04-03 George Hobbs , Shi Dai

The positive evidence of a nano-hertz gravitational wave background recently found by several pulsar timing array (PTA) collaborations opened up a window to test modified gravity theories in a unique frequency band in parallel to other…

Cosmology and Nongalactic Astrophysics · Physics 2024-05-21 Qiuyue Liang , Ippei Obata , Misao Sasaki

(Abridged) This thesis presents long-term timing results on 20 millisecond pulsars (MSPs). It has been predicted that such timing may detect gravitational waves (GWs) - a major (but untested) prediction of general relativity. Our results…

Astrophysics of Galaxies · Physics 2009-06-24 Joris P. W. Verbiest

Pulsar timing arrays (PTAs) are limited in localizing nanohertz continuous gravitational waves (CGWs) by uncertainties in pulsar distances. We introduce a method to infer pulsar distances in two dimensions, using phase information from the…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Si-Ren Xiao , Ji-Yu Song , Yue Shao , Ling-Feng Wang , Jing-Fei Zhang , Xin Zhang

The sensitivity of Pulsar Timing Arrays to gravitational waves depends on the noise present in the individual pulsar timing data. Noise may be either intrinsic or extrinsic to the pulsar. Intrinsic sources of noise will include rotational…