Elements Of Numerical Relativity And Relativistic Hydrodynamics

Author : Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas
Publisher : Springer
Page : 214 pages
File Size : 50,5 Mb
Release : 2009-07-14
Category : Science
ISBN : 9783642011641

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Elements of Numerical Relativity and Relativistic Hydrodynamics by Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas Pdf

Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.

Author : Carles Bona,Carlos Palenzuela-Luque
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 45,7 Mb
Release : 2005-07-07
Category : Science
ISBN : 3540257799

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Elements of Numerical Relativity by Carles Bona,Carlos Palenzuela-Luque Pdf

Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.

Author : Luciano Rezzolla,Olindo Zanotti
Publisher : Oxford University Press
Page : 752 pages
File Size : 50,6 Mb
Release : 2013-09-26
Category : Mathematics
ISBN : 9780198528906

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Relativistic Hydrodynamics by Luciano Rezzolla,Olindo Zanotti Pdf

This book provides an up-to-date, lively and approachable introduction to the mathematical formalism, numerical techniques and applications of relativistic hydrodynamics. The topic is presented here in a form which will be appreciated both by students and researchers in the field.

Author : Miguel Alcubierre
Publisher : OUP Oxford
Page : 464 pages
File Size : 50,6 Mb
Release : 2008-04-10
Category : Science
ISBN : 9780191548291

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Introduction to 3+1 Numerical Relativity by Miguel Alcubierre Pdf

This book introduces the modern field of 3+1 numerical relativity. The book has been written in a way as to be as self-contained as possible, and only assumes a basic knowledge of special relativity. Starting from a brief introduction to general relativity, it discusses the different concepts and tools necessary for the fully consistent numerical simulation of relativistic astrophysical systems, with strong and dynamical gravitational fields. Among the topics discussed in detail are the following: the initial data problem, hyperbolic reductions of the field equations, gauge conditions, the evolution of black hole space-times, relativistic hydrodynamics, gravitational wave extraction and numerical methods. There is also a final chapter with examples of some simple numerical space-times. The book is aimed at both graduate students and researchers in physics and astrophysics, and at those interested in relativistic astrophysics.

Author : James R. Wilson,Grant J. Mathews
Publisher : Cambridge University Press
Page : 236 pages
File Size : 42,5 Mb
Release : 2003-11-06
Category : Science
ISBN : 9780521631556

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Relativistic Numerical Hydrodynamics by James R. Wilson,Grant J. Mathews Pdf

Table of contents

Author : Thomas W. Baumgarte,Stuart L. Shapiro
Publisher : Cambridge University Press
Page : 235 pages
File Size : 44,6 Mb
Release : 2021-04-08
Category : Mathematics
ISBN : 9781108844116

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Numerical Relativity: Starting from Scratch by Thomas W. Baumgarte,Stuart L. Shapiro Pdf

A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.

Author : Thomas W. Baumgarte,Stuart L. Shapiro
Publisher : Cambridge University Press
Page : 717 pages
File Size : 55,9 Mb
Release : 2010-06-24
Category : Science
ISBN : 9780521514071

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Numerical Relativity by Thomas W. Baumgarte,Stuart L. Shapiro Pdf

Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.

Author : Cosimo Bambi,Stavros Katsanevas,Konstantinos D. Kokkotas
Publisher : Springer Nature
Page : 1895 pages
File Size : 41,7 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 : Rosalba Perna,Bruno Giacomazzo
Publisher : Frontiers Media SA
Page : 73 pages
File Size : 48,8 Mb
Release : 2021-07-02
Category : Science
ISBN : 9782889669417

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Gravitational Waves: A New Window to the Universe by Rosalba Perna,Bruno Giacomazzo Pdf

Author : John L. Friedman,Nikolaos Stergioulas
Publisher : Cambridge University Press
Page : 435 pages
File Size : 41,8 Mb
Release : 2013-02-11
Category : Science
ISBN : 9780521872546

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Rotating Relativistic Stars by John L. Friedman,Nikolaos Stergioulas Pdf

This volume pulls together more than forty years of research to provide graduate students and researchers in astrophysics, gravitational physics, and astronomy with the first self-contained treatment of the structure, stability, and oscillations of rotating neutron stars.

Author : Éric Gourgoulhon
Publisher : Springer
Page : 294 pages
File Size : 54,5 Mb
Release : 2012-02-27
Category : Science
ISBN : 9783642245251

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3+1 Formalism in General Relativity by Éric Gourgoulhon Pdf

This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.

Author : A. H. Taub
Publisher : Unknown
Page : 24 pages
File Size : 51,9 Mb
Release : 1959
Category : Hydrodynamics
ISBN : MINN:31951D03527628B

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Relativistic Hydrodynamics by A. H. Taub Pdf

Today we have Professor Taub from the University of Illinois. He is Research Professor at the Illinois Computing Laboratory. This has nothing to do with the talk but I think it would be nice if he would give us about a five-minute rundown on what the Computing Laboratory does. We are all interested in that sort of thing. The actual talk is going to be on relativistic hydrodynamics. Professor Taub To begin with a description of the Digital Computer Laboratory at the University of Illinois, I can tell you a little about its history and some of its plans and what it is going to do. The Digital Computer Laboratory started in about 1948. At that time the acquisition of computers was a little different than it is now. The laboratory then was very much interested in the field of computer development, computer use, and development of mathematical methods for using computers efficiently, and felt that these purposes could best be achieved if a high-speed computer were available.

Author : Elena Vázquez-Cendón,Arturo Hidalgo,Pilar Garcia Navarro,Luis Cea
Publisher : CRC Press
Page : 434 pages
File Size : 51,5 Mb
Release : 2012-11-05
Category : Mathematics
ISBN : 9780203562338

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Numerical Methods for Hyperbolic Equations by Elena Vázquez-Cendón,Arturo Hidalgo,Pilar Garcia Navarro,Luis Cea Pdf

Numerical Methods for Hyperbolic Equations is a collection of 49 articles presented at the International Conference on Numerical Methods for Hyperbolic Equations: Theory and Applications (Santiago de Compostela, Spain, 4-8 July 2011). The conference was organized to honour Professor Eleuterio Toro in the month of his 65th birthday. The topics cover

Author : Michael Tsamparlis
Publisher : Springer Science & Business Media
Page : 605 pages
File Size : 40,6 Mb
Release : 2010-05-17
Category : Science
ISBN : 9783642038372

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Special Relativity by Michael Tsamparlis Pdf

Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.

Author : Miguel Alcubierre
Publisher : Oxford University Press
Page : 459 pages
File Size : 43,8 Mb
Release : 2008-04-10
Category : Computers
ISBN : 9780199205677

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Introduction to 3+1 Numerical Relativity by Miguel Alcubierre Pdf

This book is a self-contained introduction to the field of numerical relativity. Starting from basic general relativity, it introduces all the concepts and tools necessary for the fully relativistic simulation of astrophysical systems with strong and dynamical gravitational fields.