Elements Of Numerical Relativity And Relativistic Hydrodynamics

Author : Carles Bona
Publisher : Springer
ISBN 13 : 3642011640
Total Pages : 214 pages
Book Rating : 4.41/5 ( download)

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Download or read book Elements of Numerical Relativity and Relativistic Hydrodynamics written by Carles Bona and published by Springer. This book was released on 2009-07-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Springer Science & Business Media
ISBN 13 : 9783540257790
Total Pages : 168 pages
Book Rating : 4.99/5 ( download)

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Download or read book Elements of Numerical Relativity written by Carles Bona and published by Springer Science & Business Media. This book was released on 2005-07-07 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Oxford University Press
ISBN 13 : 0198528906
Total Pages : 752 pages
Book Rating : 4.06/5 ( download)

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Download or read book Relativistic Hydrodynamics written by Luciano Rezzolla and published by Oxford University Press. This book was released on 2013-09-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
ISBN 13 : 0191548294
Total Pages : 464 pages
Book Rating : 4.91/5 ( download)

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Download or read book Introduction to 3+1 Numerical Relativity written by Miguel Alcubierre and published by OUP Oxford. This book was released on 2008-04-10 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Cambridge University Press
ISBN 13 : 0521631556
Total Pages : 236 pages
Book Rating : 4.56/5 ( download)

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Download or read book Relativistic Numerical Hydrodynamics written by James R. Wilson and published by Cambridge University Press. This book was released on 2003-11-06 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents

Author : Thomas W. Baumgarte
Publisher : Cambridge University Press
ISBN 13 : 1139643177
Total Pages : 717 pages
Book Rating : 4.77/5 ( download)

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Download or read book Numerical Relativity written by Thomas W. Baumgarte and published by Cambridge University Press. This book was released on 2010-06-24 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.

Author : Thomas W. Baumgarte
Publisher : Cambridge University Press
ISBN 13 : 1108844111
Total Pages : 235 pages
Book Rating : 4.16/5 ( download)

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Download or read book Numerical Relativity: Starting from Scratch written by Thomas W. Baumgarte and published by Cambridge University Press. This book was released on 2021-04-08 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.

Author : Cosimo Bambi
Publisher : Springer Nature
ISBN 13 : 9811643067
Total Pages : 1895 pages
Book Rating : 4.64/5 ( download)

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Download or read book Handbook of Gravitational Wave Astronomy written by Cosimo Bambi and published by Springer Nature. This book was released on 2022-07-02 with total page 1895 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Frontiers Media SA
ISBN 13 : 2889669416
Total Pages : 73 pages
Book Rating : 4.17/5 ( download)

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Download or read book Gravitational Waves: A New Window to the Universe written by Rosalba Perna and published by Frontiers Media SA. This book was released on 2021-07-02 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John L. Friedman
Publisher : Cambridge University Press
ISBN 13 : 0521872545
Total Pages : 435 pages
Book Rating : 4.46/5 ( download)

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Download or read book Rotating Relativistic Stars written by John L. Friedman and published by Cambridge University Press. This book was released on 2013-02-11 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.