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In the weak field regime, gravitational waves can be considered as being made up of collisionless, relativistic tensor modes that travel along null geodesics of the perturbed background metric. We work in this geometric optics picture to…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-17 Carlo R. Contaldi

We present an in depth discussion of the production of gravitational waves from an inflationary phase that could have occurred in the early universe, giving derivations for the resulting spectrum and energy density. We also consider the…

High Energy Physics - Phenomenology · Physics 2016-09-01 Martin White

In recent years the goal of estimating different cosmological parameters precisely has set new challenges in the effort to accurately measure the angular power spectrum of CMB. This has required removal of foreground contamination as well…

Astrophysics · Physics 2008-11-26 Rajib Saha , Simon Prunet , Pankaj Jain , Tarun Souradeep

The investigation of the anisotropy of the stochastic gravitational wave background (SGWB) using the TianQin detector plays a crucial role in studying the early universe and astrophysics. In this work, we examine the response of the $AET$…

General Relativity and Quantum Cosmology · Physics 2023-07-06 Kun Zhou , Jun Cheng , Liangliang Ren

Separating a stochastic gravitational wave background (SGWB) from noise is a challenging statistical task. One approach to establishing a detection criterion for the SGWB is using Bayesian evidence. If the evidence ratio (Bayes factor)…

Instrumentation and Methods for Astrophysics · Physics 2025-09-17 Federico Pozzoli , Jonathan Gair , Riccardo Buscicchio , Lorenzo Speri

Pulsar timing arrays recently found evidence for a gravitational wave background (GWB), likely the stochastic overlap of GWs from many supermassive black hole binaries. Anticipating a continuous gravitational wave (CW) detection from a…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-08 Emiko C. Gardiner , Bence Bécsy , Luke Zoltan Kelley , Neil J. Cornish

The presence of a dipolar statistical anisotropy in the spectrum of cosmic microwave background (CMB) fluctuations was reported by the Wilkinson Microwave Anisotropy Probe (WMAP), and has recently been confirmed in the Planck 2013 analysis…

Cosmology and Nongalactic Astrophysics · Physics 2014-04-29 Sugumi Kanno , Misao Sasaki , Takahiro Tanaka

The primordial stochastic gravitational wave background (SGWB) carries first-hand messages of early-universe physics, possibly including effects from inflation, preheating, cosmic strings, electroweak symmetry breaking, and etc. However,…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-16 Zhen Pan , Huan Yang

Pulsar timing array observations have found evidence for an isotropic gravitational wave background with the Hellings-Downs angular correlations, expected from general relativity. This interpretation hinges on the measured shape of the…

High Energy Astrophysical Phenomena · Physics 2024-11-21 Gabriella Agazie , Jeremy G. Baier , Paul T. Baker , Bence Becsy , Laura Blecha , Kimberly K. Boddy , Adam Brazier , Paul R. Brook , Sarah Burke-Spolaor , Rand Burnette , J. Andrew Casey-Clyde , Maria Charisi , Shami Chatterjee , Tyler Cohen , James M. Cordes , Neil J. Cornish , Fronefield Crawford , H. Thankful Cromartie , Megan E. DeCesar , Paul B. Demorest , Heling Deng , Lankeswar Dey , Timothy Dolch , Elizabeth C. Ferrara , William Fiore , Emmanuel Fonseca , Gabriel E. Freedman , Emiko C. Gardiner , Kyle A. Gersbach , Joseph Glaser , Deborah C. Good , Kayhan Gultekin , Jeffrey S. Hazboun , Ross J. Jennings , Aaron D. Johnson , David L. Kaplan , Luke Zoltan Kelley , Joey S. Key , Nima Laal , Michael T. Lam , William G. Lamb , Bjorn Larsen , T. Joseph W. Lazio , Natalia Lewandowska , Tingting Liu , Jing Luo , Ryan S. Lynch , Chung-Pei Ma , Dustin R. Madison , Alexander McEwen , James W. McKee , Maura A. McLaughlin , Patrick M. Meyers , Chiara M. F. Mingarelli , Andrea Mitridate , Jonathan Nay , David J. Nice , Stella Koch Ocker , Ken D. Olum , Timothy T. Pennucci , Polina Petrov , Nihan S. Pol , Henri A. Radovan , Scott M. Ransom , Paul S. Ray , Jessie C. Runnoe , Alexander Saffer , Shashwat C. Sardesai , Kai Schmitz , Xavier Siemens , Joseph Simon , Magdalena S. Siwek , Tristan L. Smith , Sophia V. Sosa Fiscella , Ingrid H. Stairs , Daniel R. Stinebring , Abhimanyu Susobhanan , Joseph K. Swiggum , Jacob Taylor , Stephen R. Taylor , Jacob E. Turner , Caner Unal , Michele Vallisneri , Rutger van Haasteren , Joris Verbiest , Sarah J. Vigeland , Caitlin A. Witt , David Wright , Olivia Young

With strong evidence of a common-spectrum stochastic process in the most recent datasets from the NANOGrav Collaboration, the European Pulsar Timing Array (PTA), Parkes PTA, and the International PTA, it is crucial to assess the effects of…

A stochastic gravitational wave background (SGWB) would gravitationally lens the cosmic microwave background (CMB) photons. We find that the lensing due to gravitational waves(GW) is more efficient as compared to lensing due to scalar…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Aditya Rotti , Tarun Souradeep

We integrate the entire, publicly available, Advanced LIGO (ALIGO) data set to obtain maximum-likelihood constraint maps of the Stochastic Gravitational-Wave Background (SGWB). From these we derive limits on the energy density of the…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Arianna Renzini , Carlo Contaldi

We present a catalog of gravitational wave background (GWB) signal templates from cosmic-string networks, based on relevant models proposed in the literature. We classify templates as conventional, based on standard cosmology and Nambu-Goto…

Cosmology and Nongalactic Astrophysics · Physics 2025-08-08 Androniki Dimitriou , Daniel G. Figueroa , Peera Simakachorn , Bryan Zaldivar

An important next step for pulsar timing arrays (PTAs) is to measure anisotropies in the gravitational wave background (GWB) at $\sim$ nano-Hz frequencies. We calculate the expected GWB anisotropies using empirically calibrated models for…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-20 Meng-Xiang Lin , Adam Lidz , Chung-Pei Ma

Cosmological phase transitions in the primordial universe can produce anisotropic stochastic gravitational wave backgrounds (GWB), similar to the cosmic microwave background (CMB). For adiabatic perturbations, the fluctuations in GWB follow…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-01 Soubhik Kumar , Raman Sundrum , Yuhsin Tsai

We use quadratic maximum-likelihood (QML) estimators to constrain models with Gaussian but statistically anisotropic Cosmic Microwave Background (CMB) fluctuations, using CMB maps with realistic sky-coverage and instrumental noise. This…

Cosmology and Nongalactic Astrophysics · Physics 2012-03-06 Duncan Hanson , Antony Lewis

We re-examine the gravitational wave background resulting from inflation and its effect on the cosmic microwave background radiation. The new COBE measurement of a cosmic background quadrupole anisotropy places an upper limit on the vacuum…

High Energy Physics - Phenomenology · Physics 2009-08-18 L. M. Krauss , M. White

We describe an alternative approach to the analysis of gravitational-wave backgrounds, based on the formalism used to characterise the polarisation of the cosmic microwave background. In contrast to standard analyses, this approach makes no…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Jonathan R. Gair , Joseph D. Romano , Stephen Taylor , Chiara M. F. Mingarelli

There is growing interest in using current and future gravitational-wave interferometers to search for anisotropies in the gravitational-wave background. One guaranteed anisotropic signal is the kinematic dipole induced by our peculiar…

General Relativity and Quantum Cosmology · Physics 2022-11-11 Adrian Ka-Wai Chung , Alexander C. Jenkins , Joseph D. Romano , Mairi Sakellariadou

Cosmic Microwave Background (CMB) Anisotropies is a subject of intensive research in several fields of sciences. In this paper we start a systematic development of basic notions and theory in statistics according to the application for CMB.…

Applications · Statistics 2013-12-30 Gyorgy Terdik