Frontiers in Numerical Relativity PDF Download
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Author: Charles R. Evans
Publisher: Cambridge University Press
ISBN: 0521366666
Category : Mathematics
Languages : en
Pages : 451
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Book Description
This 1989 text will be of value to those who wish to understand developments in computer studies of general relativity at the time of publication.
Author: Charles R. Evans
Publisher: Cambridge University Press
ISBN: 0521366666
Category : Mathematics
Languages : en
Pages : 451
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Book Description
This 1989 text will be of value to those who wish to understand developments in computer studies of general relativity at the time of publication.
Author: Thomas W. Baumgarte
Publisher: Cambridge University Press
ISBN: 1108844111
Category : Mathematics
Languages : en
Pages : 235
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Book Description
A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.
Author: J. Diaz Alonso
Publisher: Atlantica Séguier Frontières
ISBN: 9782863321683
Category : Gravitation
Languages : en
Pages : 438
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Book Description
Author: Robert B Mann
Publisher: World Scientific
ISBN: 9814555819
Category : Science
Languages : en
Pages : 664
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Book Description
Bringing together some of the top researchers gravitational physics, the 1990 Banff Summer Institute on Gravitation focussed on three of the most exciting areas of research in this subject today: Cosmology, Quantum Gravity and Tests of Gravitational Theory. Besides covering the most up-to-date developments, special emphasis was placed upon the interdisciplinary aspects of each of these topics. The pedagogical character of the lectures is designed to bring graduate students up to the forefront of research.
Author: Neil Ashby
Publisher: Cambridge University Press
ISBN: 9780521384285
Category : Science
Languages : en
Pages : 526
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Book Description
This volume contains the proceedings of the twelfth triannual International Conference on General Relativity and Gravitation, the premier conference for presentation and discussion of new ideas in relativity and cosmology. The volume will contain the invited talks as well as short reports on the parallel workshops that took place at the meeting. It will be essential reading for all research workers in relativity, cosmology and astrophysics.
Author: G.S Hall
Publisher: Routledge
ISBN: 1351446029
Category : Science
Languages : en
Pages : 438
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Book Description
General Relativity provides an unusually broad survey of the current state of this field. Chapters on mathematical relativity cover many topics, including initial value problems, a new approach to the partial differential equations of physics, and work on exact solutions. The chapters on relativistic cosmology and black holes explore cosmology. Other chapters deal with gravitational waves, experimental relativity, quantum gravity, and aspects of computing in relativity. The book will be useful both to postgraduates and to established workers in the field.
Author: Éric Gourgoulhon
Publisher: Springer
ISBN: 3642245250
Category : Science
Languages : en
Pages : 304
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Book Description
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: Thomas W. Baumgarte
Publisher: Cambridge University Press
ISBN: 1108945171
Category : Science
Languages : en
Pages : 235
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Book Description
Numerical relativity has emerged as the key tool to model gravitational waves - recently detected for the first time - that are emitted when black holes or neutron stars collide. This book provides a pedagogical, accessible, and concise introduction to the subject. Relying heavily on analogies with Newtonian gravity, scalar fields and electromagnetic fields, it introduces key concepts of numerical relativity in a context familiar to readers without prior expertise in general relativity. Readers can explore these concepts by working through numerous exercises, and can see them 'in action' by experimenting with the accompanying Python sample codes, and so develop familiarity with many techniques commonly employed by publicly available numerical relativity codes. This is an attractive, student-friendly resource for short courses on numerical relativity, as well as providing supplementary reading for courses on general relativity and computational physics.
Author: Friedrich W Hehl
Publisher: Springer Science & Business Media
ISBN: 3642957323
Category : Science
Languages : en
Pages : 405
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Book Description
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.
Author: Abhay Ashtekar
Publisher: World Scientific
ISBN: 9812563946
Category : Science
Languages : en
Pages : 527
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Book Description
Divided into three parts, this volume focuses on a summary of how relativity theories were born. It also discusses the ramifications of general relativity, such as black holes, space-time singularities, gravitational waves, the large scale structure of the cosmos, and more. It includes summaries of radical changes in the notions of space and time.
