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Author : Charles R. Evans
Publisher : Cambridge University Press
Page : 451 pages
File Size : 15,48 MB
Release : 1989-04-13
Category : Mathematics
ISBN : 0521366666
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.
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Page : pages
File Size : 22,3 MB
Release : 2007
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Author : Thomas W. Baumgarte
Publisher : Cambridge University Press
Page : 235 pages
File Size : 45,59 MB
Release : 2021-04-08
Category : Mathematics
ISBN : 1108844111
A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.
Author : Peter A. Hogan
Publisher : Springer
Page : 246 pages
File Size : 28,56 MB
Release : 2021-04-01
Category : Science
ISBN : 9783030693695
This book discusses some of the open questions addressed by researchers in general relativity. Photons and particles play important roles in the theoretical framework, since they are involved in analyzing and measuring gravitational fields and in constructing mathematical models of gravitational fields of various types. The authors highlight this aspect covering topics such as the construction of models of Bateman electromagnetic waves and analogous gravitational waves, the studies of gravitational radiation in presence of a cosmological constant and the gravitational compass or clock compass for providing an operational way of measuring a gravitational field. The book is meant for advanced students and young researchers in general relativity, who look for an updated text which covers in depth the calculations and, equally, takes on new challenges. The reader, along the learning path, is stimulated by provocative examples interspersed in the text that help to find novel representations of the uses of particles and photons.
Author : Masaru Shibata
Publisher : World Scientific
Page : 844 pages
File Size : 18,73 MB
Release : 2015-11-05
Category : Science
ISBN : 9814699748
This book is composed of two parts: First part describes basics in numerical relativity, that is, the formulations and methods for a solution of Einstein's equation and general relativistic matter field equations. This part will be helpful for beginners of numerical relativity who would like to understand the content of numerical relativity and its background. The second part focuses on the application of numerical relativity. A wide variety of scientific numerical results are introduced focusing in particular on the merger of binary neutron stars and black holes.
Author : Carles Bona
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 47,54 MB
Release : 2005-07-07
Category : Science
ISBN : 9783540257790
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 : Thomas W. Baumgarte
Publisher : Cambridge University Press
Page : 235 pages
File Size : 35,86 MB
Release : 2021-04-08
Category : Science
ISBN : 1108945171
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 : M. Campanelli
Publisher :
Page : 379 pages
File Size : 11,37 MB
Release : 2007
Category :
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Author : Carles Bona
Publisher : Springer
Page : 226 pages
File Size : 35,85 MB
Release : 2009-07-14
Category : Science
ISBN : 3642011640
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 : Miguel Alcubierre
Publisher : OUP Oxford
Page : 464 pages
File Size : 31,71 MB
Release : 2008-04-10
Category : Science
ISBN : 9780191548291
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.