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Primordial gravitational waves (GWs) with frequencies > 10^{-15} Hz contribute to the radiation density of the Universe at the time of decoupling of the cosmic microwave background (CMB). The effects of this GW background on the CMB and…

Astrophysics · Physics 2009-11-11 Tristan L. Smith , Elena Pierpaoli , Marc Kamionkowski

The cosmic microwave background (CMB) is affected by the total radiation density around the time of decoupling. At that epoch, neutrinos comprised a significant fraction of the radiative energy, but there could also be a contribution from…

Cosmology and Nongalactic Astrophysics · Physics 2013-05-30 Irene Sendra , Tristan L. Smith

The production of a primordial stochastic gravitational-wave background by processes occuring in the early Universe is expected in a broad range of models. Observing this background would open a unique window onto the Universe's…

We present robust constraints on the stochastic gravitational waves (GWs) at Mpc scales from the cosmic microwave background (CMB) data. CMB constraints on GWs are usually characterized as the tensor-to-scalar ratio, assuming specifically a…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-24 Toshiya Namikawa , Shohei Saga , Daisuke Yamauchi , Atsushi Taruya

We demonstrate how to obtain optimal constraints on a primordial gravitational wave component in lensed Cosmic Microwave Background (CMB) data under ideal conditions. We first derive an estimator of the tensor-to-scalar ratio, $r$, by using…

Cosmology and Nongalactic Astrophysics · Physics 2019-02-20 Julien Carron

We constrain the primordial gravitational waves from cosmic microwave background (CMB) and stochastic gravitational wave background (SGWB) observations. SGWB provides the latest way to explore the early universe and the cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-25 Jun Li , Guang-Hai Guo

Circular polarization in the cosmic microwave background (CMB) offers a promising probe of the parity-violating physics of the early universe. In this paper, we propose a novel method to constrain the primordial circular polarization of…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-24 Ashu Kushwaha , Rajeev Kumar Jain

The recent evidence for a stochastic gravitational wave background (GWB) in the nanohertz band, announced by pulsar timing array (PTA) collaborations around the world, has been posited to be sourced by either a population of supermassive…

General Relativity and Quantum Cosmology · Physics 2024-09-25 David Wright , John T. Giblin , Jeffrey Hazboun

We show that the new precise measurements of Cosmic Microwave Background (CMB) temperature and polarization anisotropies made by the Planck satellite significantly improves previous constraints on the cosmic gravitational waves background…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-17 Luca Pagano , Laura Salvati , Alessandro Melchiorri

We investigate the possibility of measuring the primordial gravitational wave (GW) signal across 21 decades in frequencies, using the cosmic microwave background (CMB), pulsar timing arrays (PTA), and laser and atomic interferometers. For…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-20 Paolo Campeti , Eiichiro Komatsu , Davide Poletti , Carlo Baccigalupi

At the linear level, the gravitational wave (GW) spectrum predicted by inflation, and many of its alternatives, can have arbitrarily small amplitude and consequently an unconstrained tilt. However, at second order, tensor fluctuations are…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-10 Ido Ben-Dayan , Brian Keating , David Leon , Ira Wolfson

The Cosmic Microwave Background (CMB) fluctuations at very small angular scales (less than $10'$) induced by matter sources are computed in a simplified way. The result corrects a previous formula appearing in the literature. The small…

Astrophysics · Physics 2011-05-10 Mark Hindmarsh

We review current observational constraints on the polarization of the Cosmic Microwave Background (CMB), with a particular emphasis on detecting the signature of primordial gravitational waves. We present an analytic solution to the…

Astrophysics · Physics 2009-11-11 Brian G. Keating , Alexander G. Polnarev , Nathan J. Miller , Deepak Baskaran

CMB-S4---the next-generation ground-based cosmic microwave background (CMB) experiment---is set to significantly advance the sensitivity of CMB measurements and enhance our understanding of the origin and evolution of the Universe, from the…

Cosmology and Nongalactic Astrophysics · Physics 2023-10-12 S4 Collaboration , Kevork Abazajian , Graeme E. Addison , Peter Adshead , Zeeshan Ahmed , Daniel Akerib , Aamir Ali , Steven W. Allen , David Alonso , Marcelo Alvarez , Mustafa A. Amin , Adam Anderson , Kam S. Arnold , Peter Ashton , Carlo Baccigalupi , Debbie Bard , Denis Barkats , Darcy Barron , Peter S. Barry , James G. Bartlett , Ritoban Basu Thakur , Nicholas Battaglia , Rachel Bean , Chris Bebek , Amy N. Bender , Bradford A. Benson , Federico Bianchini , Colin A. Bischoff , Lindsey Bleem , James J. Bock , Sebastian Bocquet , Kimberly K. Boddy , J. Richard Bond , Julian Borrill , François R. Bouchet , Thejs Brinckmann , Michael L. Brown , Sean Bryan , Victor Buza , Karen Byrum , Carlos Hervias Caimapo , Erminia Calabrese , Victoria Calafut , Robert Caldwell , John E. Carlstrom , Julien Carron , Thomas Cecil , Anthony Challinor , Clarence L. Chang , Yuji Chinone , Hsiao-Mei Sherry Cho , Asantha Cooray , Will Coulton , Thomas M. Crawford , Abigail Crites , Ari Cukierman , Francis-Yan Cyr-Racine , Tijmen de Haan , Jacques Delabrouille , Mark Devlin , Eleonora Di Valentino , Marion Dierickx , Matt Dobbs , Shannon Duff , Jo Dunkley , Cora Dvorkin , Joseph Eimer , Tucker Elleflot , Josquin Errard , Thomas Essinger-Hileman , Giulio Fabbian , Chang Feng , Simone Ferraro , Jeffrey P. Filippini , Raphael Flauger , Brenna Flaugher , Aurelien A. Fraisse , Andrei Frolov , Nicholas Galitzki , Patricio A. Gallardo , Silvia Galli , Ken Ganga , Martina Gerbino , Vera Gluscevic , Neil Goeckner-Wald , Daniel Green , Daniel Grin , Evan Grohs , Riccardo Gualtieri , Jon E. Gudmundsson , Ian Gullett , Nikhel Gupta , Salman Habib , Mark Halpern , Nils W. Halverson , Shaul Hanany , Kathleen Harrington , Masaya Hasegawa , Matthew Hasselfield , Masashi Hazumi , Katrin Heitmann , Shawn Henderson , Brandon Hensley , Charles Hill , J. Colin Hill , Renée Hlozek , Shuay-Pwu Patty Ho , Thuong Hoang , Gil Holder , William Holzapfel , John Hood , Johannes Hubmayr , Kevin M. Huffenberger , Howard Hui , Kent Irwin , Oliver Jeong , Bradley R. Johnson , William C. Jones , Jae Hwan Kang , Kirit S. Karkare , Nobuhiko Katayama , Reijo Keskitalo , Theodore Kisner , Lloyd Knox , Brian J. Koopman , Arthur Kosowsky , John Kovac , Ely D. Kovetz , Steve Kuhlmann , Chao-lin Kuo , Akito Kusaka , Anne Lähteenmäki , Charles R. Lawrence , Adrian T. Lee , Antony Lewis , Dale Li , Eric Linder , Marilena Loverde , Amy Lowitz , Phil Lubin , Mathew S. Madhavacheril , Adam Mantz , Gabriela Marques , Frederick Matsuda , Philip Mauskopf , Heather McCarrick , Jeffrey McMahon , P. Daniel Meerburg , Jean-Baptiste Melin , Felipe Menanteau , Joel Meyers , Marius Millea , Joseph Mohr , Lorenzo Moncelsi , Maria Monzani , Tony Mroczkowski , Suvodip Mukherjee , Johanna Nagy , Toshiya Namikawa , Federico Nati , Tyler Natoli , Laura Newburgh , Michael D. Niemack , Haruki Nishino , Brian Nord , Valentine Novosad , Roger O'Brient , Stephen Padin , Steven Palladino , Bruce Partridge , Don Petravick , Elena Pierpaoli , Levon Pogosian , Karthik Prabhu , Clement Pryke , Giuseppe Puglisi , Benjamin Racine , Alexandra Rahlin , Mayuri Sathyanarayana Rao , Marco Raveri , Christian L. Reichardt , Mathieu Remazeilles , Graca Rocha , Natalie A. Roe , Anirban Roy , John E. Ruhl , Maria Salatino , Benjamin Saliwanchik , Emmanuel Schaan , Alessandro Schillaci , Benjamin Schmitt , Marcel M. Schmittfull , Douglas Scott , Neelima Sehgal , Sarah Shandera , Blake D. Sherwin , Erik Shirokoff , Sara M. Simon , Anze Slosar , David Spergel , Tyler St. Germaine , Suzanne T. Staggs , Antony Stark , Glenn D. Starkman , Radek Stompor , Chris Stoughton , Aritoki Suzuki , Osamu Tajima , Grant P. Teply , Keith Thompson , Ben Thorne , Peter Timbie , Maurizio Tomasi , Matthieu Tristram , Gregory Tucker , Caterina Umiltà , Alexander van Engelen , Eve M. Vavagiakis , Joaquin D. Vieira , Abigail G. Vieregg , Kasey Wagoner , Benjamin Wallisch , Gensheng Wang , Scott Watson , Ben Westbrook , Nathan Whitehorn , Edward J. Wollack , W. L. Kimmy Wu , Zhilei Xu , H. Y. Eric Yang , Siavash Yasini , Volodymyr G. Yefremenko , Ki Won Yoon , Edward Young , Cyndia Yu , Andrea Zonca

Quantum fluctuations of the gravitational field in the early Universe, amplified by inflation, produce a primordial gravitational-wave background across a broad frequency band. We derive constraints on the spectrum of this gravitational…

The General Relativity affirms that any field is a source of gravitational field, thus one should affirm that the energy of Cosmic Microwave Background (CMB) generated primordial gravitational waves. The present article shows that a…

General Relativity and Quantum Cosmology · Physics 2012-05-15 Wytler Cordeiro dos Santos

The Cosmic Microwave Background Radiation (CMB) is an invaluable probe of the conditions of the early universe. Recent measurements of its spatial anisotropy have allowed accurate determinations of several fundamental cosmological…

Astrophysics · Physics 2009-09-29 Christopher O'Dell

We present the results of analysis of constraints on cosmological parameters from cosmic microwave background (CMB) alone and in combination with galaxy cluster baryon fraction assuming inflation--generated adiabatic scalar fluctuations.…

Astrophysics · Physics 2009-11-06 M. Douspis , A. Blanchard , R. Sadat , J. G. Bartlett , M. Le Dour

To efficiently probe primordial non-Gaussianity using Cosmic Microwave Background (CMB) data, we require theoretical predictions that are factorizable, \textit{i.e.}\ those whose kinematic dependence can be separated. This property does not…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-25 Oliver H. E. Philcox , Kunhao Zhong , Salvatore Samuele Sirletti

The next generation of instruments designed to measure the polarization of the cosmic microwave background (CMB) will provide a historic opportunity to open the gravitational wave window to the primordial Universe. Through high sensitivity…

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