Gravitational Wave Detection And Data Analysis For Pulsar Timing Arrays

Author : Rutger van Haasteren
Publisher : Springer Science & Business Media
Page : 149 pages
File Size : 53,5 Mb
Release : 2013-09-12
Category : Science
ISBN : 9783642395994

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Gravitational Wave Detection and Data Analysis for Pulsar Timing Arrays by Rutger van Haasteren Pdf

Pulsar timing is a promising method for detecting gravitational waves in the nano-Hertz band. In his prize winning Ph.D. thesis Rutger van Haasteren deals with how one takes thousands of seemingly random timing residuals which are measured by pulsar observers, and extracts information about the presence and character of the gravitational waves in the nano-Hertz band that are washing over our Galaxy. The author presents a sophisticated mathematical algorithm that deals with this issue. His algorithm is probably the most well-developed of those that are currently in use in the Pulsar Timing Array community. In chapter 3, the gravitational-wave memory effect is described. This is one of the first descriptions of this interesting effect in relation with pulsar timing, which may become observable in future Pulsar Timing Array projects. The last part of the work is dedicated to an effort to combine the European pulsar timing data sets in order to search for gravitational waves. This study has placed the most stringent limit to date on the intensity of gravitational waves that are produced by pairs of supermassive black holes dancing around each other in distant galaxies, as well as those that may be produced by vibrating cosmic strings. Rutger van Haasteren has won the 2011 GWIC Thesis Prize of the Gravitational Wave International Community for his innovative work in various directions of the search for gravitational waves by pulsar timing. The work is presented in this Ph.D. thesis.

Author : Chiara M. F. Mingarelli
Publisher : Springer
Page : 119 pages
File Size : 54,7 Mb
Release : 2015-11-09
Category : Science
ISBN : 9783319184012

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Gravitational Wave Astrophysics with Pulsar Timing Arrays by Chiara M. F. Mingarelli Pdf

This Ph.D. thesis from the University of Birmingham UK opens new research avenues in the use of Pulsar Timing Arrays (PTAs) to study populations of super-massive black hole binaries through gravitational-wave observations. Chiara Mingarelli's work has shown for the first time that PTAs can yield information about the non-linear dynamics of the gravitational field. This is possible because PTAs capture, at the same time, radiation from the same source emitted at stages of its binary evolution that are separated by thousands of years. Dr. Mingarelli, who is the recipient of a Marie Curie International Outgoing Fellowship, has also been amongst the pioneers of the technique that will allow us to probe the level of anisotropy of the diffuse gravitational-wave background radiation from the whole population of super-massive black hole binaries in the Universe. Indeed, future observations will provide us with hints about the distribution of galaxies harboring massive black holes and insights into end products of hierarchical mergers of galaxies.

Author : B.F. Schutz
Publisher : Springer Science & Business Media
Page : 321 pages
File Size : 54,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400911857

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Gravitational Wave Data Analysis by B.F. Schutz Pdf

The articles in this book represent the major contributions at the NATO Advanced Research Workshop that was held from 6 to 9 July 1987 in the magnificent setting of Dyffryn House and Gardens, in St. Nicholas, just outside Cardiff, Wales. The idea for such a meeting arose in discussions that I had in 1985 and 1986 with many of the principal members of the various groups building prototype laser-interferometric gravitational wave detectors. It became clear that the proposals that these groups were planning to submit for large-scale detectors would have to address questions like the following: • What computing hardware might be required to sift through data corning in at rates of several gigabytes per day for gravitational wave events that might last only a second or less and occur as rarely as once a month? • What software would be required for this task, and how much effort would be required to write it? • Given that every group accepted that a worldwide network of detectors operating in co incidence with one another was required in order to provide both convincing evidence of detections of gravitational waves and sufficient information to determine the amplitude and direction of the waves that had been detected, what sort of problems would the necessary data exchanges raise? Yet most of the effort in these groups had, quite naturally, been concentrated on the detector systems.

Author : Stanislav Babak
Publisher : Morgan & Claypool Publishers
Page : 117 pages
File Size : 54,6 Mb
Release : 2020-04-21
Category : Science
ISBN : 9781681737010

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Gravitational Waves from Coalescing Binaries by Stanislav Babak Pdf

This book is to help post-graduate students to get into gravitational wave astronomy. We assume the knowledge of General Relativity theory, though we will concentrate on the physics and often omit mathematically strict derivations. We provide references to already existing literature where possible, this helps us to see a broad picture, skipping the details. The uniqueness of this book is in that it covers three frequency bands and three major world-wide efforts to detect gravitational waves. The LIGO and Virgo scientific collaboration has detected first gravitational waves and the merger of black holes become now almost a routine. We do expect many discoveries yet to come, especially in the joined gravitational and electromagnetic observations. LISA, the space-based gravitational wave observatory, will be launched around 2034 and will be able to detect thousands of GW sources in the milli-Hz band. Pulsar timing array observations have accumulated 20-years' worth of data and we expected detection of GWs in the nano-Hz band within the next decade. We describe the gravitational wave sources and data analysis techniques in each frequency band.

Author : Piotr Jaranowski,Andrzej Krolak
Publisher : Cambridge University Press
Page : 270 pages
File Size : 41,5 Mb
Release : 2009-08-27
Category : Mathematics
ISBN : 9780521864596

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Analysis of Gravitational-Wave Data by Piotr Jaranowski,Andrzej Krolak Pdf

Introducing gravitational-wave data analysis, this book is an ideal starting point for researchers entering the field, and researchers currently analyzing data. Detailed derivations of the basic formulae enable readers to apply general statistical concepts to the analysis of gravitational-wave signals. It also discusses new ideas on devising the efficient algorithms.

Author : Cosimo Bambi,Stavros Katsanevas,Konstantinos D. Kokkotas
Publisher : Springer Nature
Page : 1895 pages
File Size : 48,9 Mb
Release : 2022-07-02
Category : Science
ISBN : 9789811643064

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Handbook of Gravitational Wave Astronomy by Cosimo Bambi,Stavros Katsanevas,Konstantinos D. Kokkotas Pdf

This handbook provides an updated comprehensive description of gravitational wave astronomy. In the first part, it reviews gravitational wave experiments, from ground and space based laser interferometers to pulsar timing arrays and indirect detection from the cosmic microwave background. In the second part, it discusses a number of astrophysical and cosmological gravitational wave sources, including black holes, neutron stars, possible more exotic objects, and sources in the early Universe. The third part of the book reviews the methods to calculate gravitational waveforms. The fourth and last part of the book covers techniques employed in gravitational wave astronomy data analysis. This book represents both a valuable resource for graduate students and an important reference for researchers in gravitational wave astronomy.

Author : Stephen R. Taylor
Publisher : CRC Press
Page : 172 pages
File Size : 53,5 Mb
Release : 2021-11-23
Category : Mathematics
ISBN : 9781000484762

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Nanohertz Gravitational Wave Astronomy by Stephen R. Taylor Pdf

Nanohertz Gravitational Wave Astronomy explores the exciting hunt for low frequency gravitational waves by using the extraordinary timing precision of pulsars. The book takes the reader on a tour across the expansive gravitational-wave landscape, from LIGO detections to the search for polarization patterns in the Cosmic Microwave Background, then hones in on the band of nanohertz frequencies that Pulsar Timing Arrays (PTAs) are sensitive to. Within this band may lie many pairs of the most massive black holes in the entire Universe, all radiating in chorus to produce a background of gravitational waves. The book shows how such extra-Galactic gravitational waves can alter the arrival times of radio pulses emanating from monitored Galactic pulsars, and how we can use the pattern of correlated timing deviations from many pulsars to tease out the elusive signal. The book takes a pragmatic approach to data analysis, explaining how it is performed in practice within classical and Bayesian statistics, as well as the numerous strategies one can use to optimize numerical Bayesian searches in PTA analyses. It closes with a complete discussion of the data model for nanohertz gravitational wave searches, and an overview of the past achievements, present efforts, and future prospects for PTAs. The book is accessible to upper division undergraduate students and graduate students of astronomy, and also serves as a useful desk reference for experts in the field. Key features: Contains a complete derivation of the pulsar timing response to gravitational waves, and the overlap reduction function for PTAs. Presents a comprehensive overview of source astrophysics, and the dynamical influences that shape the gravitational wave signals that PTAs are sensitive to. Serves as a detailed primer on gravitational-wave data analysis and numerical Bayesian techniques for PTAs.

Author : Stephen R. Taylor
Publisher : CRC Press
Page : 147 pages
File Size : 50,9 Mb
Release : 2021-11-22
Category : Mathematics
ISBN : 9781000484786

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Nanohertz Gravitational Wave Astronomy by Stephen R. Taylor Pdf

Nanohertz Gravitational Wave Astronomy explores the exciting hunt for low frequency gravitational waves by using the extraordinary timing precision of pulsars. The book takes the reader on a tour across the expansive gravitational-wave landscape, from LIGO detections to the search for polarization patterns in the Cosmic Microwave Background, then hones in on the band of nanohertz frequencies that Pulsar Timing Arrays (PTAs) are sensitive to. Within this band may lie many pairs of the most massive black holes in the entire Universe, all radiating in chorus to produce a background of gravitational waves. The book shows how such extra-Galactic gravitational waves can alter the arrival times of radio pulses emanating from monitored Galactic pulsars, and how we can use the pattern of correlated timing deviations from many pulsars to tease out the elusive signal. The book takes a pragmatic approach to data analysis, explaining how it is performed in practice within classical and Bayesian statistics, as well as the numerous strategies one can use to optimize numerical Bayesian searches in PTA analyses. It closes with a complete discussion of the data model for nanohertz gravitational wave searches, and an overview of the past achievements, present efforts, and future prospects for PTAs. The book is accessible to upper division undergraduate students and graduate students of astronomy, and also serves as a useful desk reference for experts in the field. Key features: Contains a complete derivation of the pulsar timing response to gravitational waves, and the overlap reduction function for PTAs. Presents a comprehensive overview of source astrophysics, and the dynamical influences that shape the gravitational wave signals that PTAs are sensitive to. Serves as a detailed primer on gravitational-wave data analysis and numerical Bayesian techniques for PTAs.

Author : Auger Gerard,Plagnol Eric
Publisher : World Scientific
Page : 328 pages
File Size : 55,6 Mb
Release : 2017-02-15
Category : Science
ISBN : 9789813141773

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Overview Of Gravitational Waves, An: Theory, Sources And Detection by Auger Gerard,Plagnol Eric Pdf

This book describes detection techniques used to search for and analyze gravitational waves (GW). It covers the whole domain of GW science, starting from the theory and ending with the experimental techniques (both present and future) used to detect them. The theoretical sections of the book address the theory of general relativity and of GW, followed by the theory of GW detection. The various sources of GW are described as well as the methods used to analyse them and to extract their physical parameters. It includes an analysis of the consequences of GW observations in terms of astrophysics as well as a description of the different detectors that exist and that are planned for the future. With the recent announcement of GW detection and the first results from LISA Pathfinder, this book will allow non-specialists to understand the present status of the field and the future of gravitational wave science.

Author : Yan Wang
Publisher : Springer
Page : 228 pages
File Size : 43,6 Mb
Release : 2015-12-10
Category : Science
ISBN : 9783319263892

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First-stage LISA Data Processing and Gravitational Wave Data Analysis by Yan Wang Pdf

This thesis covers a diverse set of topics related to space-based gravitational wave detectors such as the Laser Interferometer Space Antenna (LISA). The core of the thesis is devoted to the preprocessing of the interferometric link data for a LISA constellation, specifically developing optimal Kalman filters to reduce arm length noise due to clock noise. The approach is to apply Kalman filters of increasing complexity to make optimal estimates of relevant quantities such as constellation arm length, relative clock drift, and Doppler frequencies based on the available measurement data. Depending on the complexity of the filter and the simulated data, these Kalman filter estimates can provide up to a few orders of magnitude improvement over simpler estimators. While the basic concept of the LISA measurement (Time Delay Interferometry) was worked out some time ago, this work brings a level of rigor to the processing of the constellation-level data products. The thesis concludes with some topics related to the eLISA such as a new class of phenomenological waveforms for extreme mass-ratio inspiral sources (EMRIs, one of the main source for eLISA), an octahedral space-based GW detector that does not require drag-free test masses, and some efficient template-search algorithms for the case of relatively high SNR signals.

Author : Taylor & Francis Group
Publisher : Unknown
Page : 128 pages
File Size : 52,6 Mb
Release : 2021-07-07
Category : Electronic
ISBN : 1138355348

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Gravitational Wave Detection and Data Analysis by Taylor & Francis Group Pdf

Author : Roberto Peron,Monica Colpi,Vittorio Gorini,Ugo Moschella
Publisher : Springer
Page : 484 pages
File Size : 52,6 Mb
Release : 2015-12-14
Category : Science
ISBN : 9783319202242

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Gravity: Where Do We Stand? by Roberto Peron,Monica Colpi,Vittorio Gorini,Ugo Moschella Pdf

This book presents an overview of the current understanding of gravitation, with a focus on the current efforts to test its theory, especially general relativity. It shows how the quest for a deeper theory, which would possibly incorporate gravity in the quantum realm, is more than ever an open field. The majority of the contributions deals with the manifold facets of “experimental gravitation”, but the book goes beyond this and covers a broad range of subjects from the foundations of gravitational theories to astrophysics and cosmology. The book is divided into three parts. The first part deals with foundations and Solar System tests. An introductory pedagogical chapter reviews first Newtonian gravitational theory, special relativity, the equivalence principle and the basics of general relativity. Then it focuses on approximation methods, mainly the post-Newtonian formalism and the relaxed Einstein equations, with a discussion on how they are used in treating experimental tests and in the problem of generation and detection of gravitational waves. Following this is a set of chapters describing the most recent experiments, techniques and observations on the testing of gravity theories in the laboratory, around the Earth and in the Solar System. The second part is dedicated to astrophysical topics deeply linked with the study of gravitation, namely binary pulsars and the perspective of direct detection of gravitational waves. These cases are paradigmatic in that the gravitational signals act at the same time as messengers helping us to understand the properties of important and wide classes of astrophysical objects. The third part explores the many open issues in current knowledge of gravitation machinery, especially related to astrophysical and cosmological problems and the way possible solutions to them impact the quest for a quantum theory of gravitation and unified theory. Included is a selection of the many possible paths, giving a hint to the subtleties one is called upon. Whenever possible, a close link to observational constraints and possible experimental tests is provided. In selecting the topics of the various contributions, particular care has been devoted to ensure their fit in a coherent representation of our understanding of gravitational phenomena. The book is aimed at graduate level students and will form a valuable reference for those working in the field.

Author : Pablo Barneo
Publisher : BOD GmbH DE
Page : 186 pages
File Size : 51,9 Mb
Release : 2024-03-11
Category : Science
ISBN : 9788413737386

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De-noising of Gravitational-Wave Data by Pablo Barneo Pdf

Since the first experimental evidence for the existence of gravitational waves in 2015, the amount of data in this scientific area has increased enormously. There has also been a great deal of interest in the scientific community in gravitational waves. The interferometers, used to capture these waves, need to achieve a high level of instrumental sensitivity to be able to detect and analyse the weak signals emitted by both distant sources of intrinsically high intensity and nearby sources of much lower intensity. High sensitivity is often accompanied by high levels of noise that difficult data analysis. In nowadays interferometers, large amounts of data are recorded with a high percentage of noise from which we attempt to extract the possible gravitational waves buried therein. In this dissertation we propose to use a denoising method based on the minimisation of the total variance of the time series that constitute the data. Known as the ROF method, it assumes that the largest contribution to the total variance of a function comes from noise. In this way, a minimisation of this variance should lead to a drastic reduction in the presence of noise. This denoising procedure helps to improve the detection and data quality of gravitational wave analysis. We have implemented two ROF-based denoising algorithms in a commonly used gravitational-wave analysis software package. The analysis package is known as coherent WaveBurst (cWB) and uses the excess energy from the coherence between data from two or more interferometers to find gravitational waves. The denoising methods are the one-step regularised ROF (rROF), and the iterative rROF procedure (irROF). We have tested both methods using events from the gravitational-wave catalogue of the first three observing periods of the LIGO-Virgo-KAGRA scientific collaboration. These events, named GW1501914, GW151226, GW170817 and GW190521, comprise different wave morphologies of compact binary systems injected at different noise quality levels.

Author : E. Coccia,J. Silk,N. Vittorio
Publisher : IOS Press
Page : 400 pages
File Size : 42,7 Mb
Release : 2020-08-31
Category : Science
ISBN : 9781643680958

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Gravitational Waves and Cosmology by E. Coccia,J. Silk,N. Vittorio Pdf

The past twenty years have seen a number of breakthroughs in astrophysics and cosmology, some of which have been awarded Nobel prizes. These physics triumphs highlight the fact that while students need a solid grounding in the fundamentals of astrophysics and cosmology, sight of the basics of the fundamental interactions in physics must not be lost. This book presents papers based on lectures given at the 200th Course of the International School of Physics “Enrico Fermi”, on Gravitation and Cosmology, held in Varenna, Italy, from 3 - 12 July 2017. The aim of the school was to expose students to state-of-the-art research in the field of gravitational waves and cosmology, from both a theoretical and experimental point of view. Lectures were organized in such a way as to foster interaction between the two communities, and a wide range of topics was addressed. In the gravitational waves section, topics covered include experimental issues connected with gravitational wave detection and the new field of multi-messenger astronomy, as well as more astrophysical aspects. In the section on cosmology, there are contributions on the early universe, on the cosmic microwave background (CMB) and on redshift surveys. Other areas covered include a review of inflationary scenarios; the non-Gaussian features of primordial density fluctuations; and the physical mechanisms responsible for the spectral distortions of the blackbody spectrum of the CMB. The book provides an overview of important research developments and will be of interest to all students of gravitation and cosmology.

Author : A. Vilenkin,Alexander Vilenkin,E. P. S. Shellard
Publisher : Cambridge University Press
Page : 584 pages
File Size : 41,6 Mb
Release : 1994
Category : Science
ISBN : 0521654769

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Cosmic Strings and Other Topological Defects by A. Vilenkin,Alexander Vilenkin,E. P. S. Shellard Pdf

Comprehensive introduction to the role of cosmic strings and other topological defects in the universe.