Numerical Relativity Starting From Scratch
DOWNLOAD
Download Numerical Relativity Starting From Scratch PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Numerical Relativity Starting From Scratch book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Numerical Relativity Starting From Scratch
DOWNLOAD
Author : Thomas W. Baumgarte
language : en
Publisher: Cambridge University Press
Release Date : 2021-04-08
Numerical Relativity Starting From Scratch written by Thomas W. Baumgarte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-08 with Mathematics categories.
A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.
Numerical Relativity
DOWNLOAD
Author : Thomas W. Baumgarte
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-24
Numerical Relativity written by Thomas W. Baumgarte and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-24 with Science categories.
Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.
3 1 Formalism In General Relativity
DOWNLOAD
Author : Éric Gourgoulhon
language : en
Publisher: Springer
Release Date : 2012-02-27
3 1 Formalism In General Relativity written by Éric Gourgoulhon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-27 with Science categories.
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.
Introduction To 3 1 Numerical Relativity
DOWNLOAD
Author : Miguel Alcubierre
language : en
Publisher: OUP Oxford
Release Date : 2008-04-10
Introduction To 3 1 Numerical Relativity written by Miguel Alcubierre and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-10 with Science categories.
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.
Elements Of Numerical Relativity And Relativistic Hydrodynamics
DOWNLOAD
Author : Carles Bona
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-07-24
Elements Of Numerical Relativity And Relativistic Hydrodynamics written by Carles Bona and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-24 with Science categories.
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.
Elements Of Numerical Relativity
DOWNLOAD
Author : Carles Bona
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-07
Elements Of Numerical Relativity written by Carles Bona and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-07-07 with Science categories.
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.
Relativity And Scientific Computing
DOWNLOAD
Author : Friedrich W Hehl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Relativity And Scientific Computing written by Friedrich W Hehl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
For this set of lectures we assumed that the reader has a reasonable back ground in physics and some knowledge of general relativity, the modern theory of gravity in macrophysics, and cosmology. Computer methods are present ed by leading experts in the three main domains: in numerics, in computer algebra, and in visualization. The idea was that each of these subdisciplines is introduced by an extended set of main lectures and that each is conceived as being of comparable 'importance. Therefpre we believe that the book represents a good introduction into scientific I computing for any student who wants to specialize in relativity, gravitation, and/or astrophysics. We took great care to select lecturers who teach in a comprehensible way and who are, at the same time, at the research front of their respective field. In numerics we had the privilege of having a lecturer from the National Center for Supercomputing Applications (NCSA, Champaign, IL, USA) and some from other leading institutions of the world; visualization was taught by a visualization expert from Boeing; and in com puter algebra we took recourse to practitioners of different computer algebra systems as applied to classical general relativity up to quantum gravity and differential geometry.
Numerical Relativity
DOWNLOAD
Author : Thomas W. Baumgarte
language : en
Publisher:
Release Date : 2021
Numerical Relativity written by Thomas W. Baumgarte and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
"This completely updated edition brings the reader even more handy tips on how to help combat the climate emergency and other environmental problems. New to this edition are: an expanded "What can I do?" section; coverage of Extinction Rebellion, school children marches, the role of protest; more for the business community on offsetting, Carbon net zero, and investing; the effects of pandemics and COVID-19; Australian wildfires. Feeding the world, climate change, biodiversity, antibiotics, plastics - the list of concerns seems endless. Given the global nature of the challenges we face, what can any of us DO? Mike Berners-Lee has crunched the numbers and plotted a course of action that is practical and enjoyable. Readers will find the big-picture perspective on the environmental and economic challenges of the day laid out in one place, and traced through to the underlying roots - questions of how we live and think on Planet A"--
Advanced General Relativity
DOWNLOAD
Author : John Stewart
language : en
Publisher: Cambridge University Press
Release Date : 1993-11-26
Advanced General Relativity written by John Stewart and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-11-26 with Science categories.
A self-contained introduction to advanced general relativity.
Scalar Fields In Numerical General Relativity
DOWNLOAD
Author : Katy Clough
language : en
Publisher: Springer
Release Date : 2018-06-16
Scalar Fields In Numerical General Relativity written by Katy Clough and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-16 with Science categories.
This book explores the use of numerical relativity (NR) methods to solve cosmological problems, and describes one of the first uses of NR to study inflationary physics. NR consists in the solution of Einstein’s Equation of general relativity, which governs the evolution of matter and energy on cosmological scales, and in systems where there are strong gravitational effects, such as around black holes. To date, NR has mainly been used for simulating binary black hole and neutron star mergers like those detected recently by LIGO. Its use as a tool in fundamental problems of gravity and cosmology is novel, but rapidly gaining interest. In this thesis, the author investigates the initial condition problem in early universe cosmology – whether an inflationary expansion period could have “got going” from initially inhomogeneous conditions – and identifies criteria for predicting the robustness of particular models. State-of-the-art numerical relativity tools are developed in order to address this question, which are now publicly available.