Frontiers In Numerical Relativity


Frontiers In Numerical Relativity
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Frontiers In Numerical Relativity


Frontiers In Numerical Relativity
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Author : Charles R. Evans
language : en
Publisher: Cambridge University Press
Release Date : 1989-04-13

Frontiers In Numerical Relativity written by Charles R. Evans 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 1989-04-13 with Mathematics categories.


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.



Frontiers In General Relativity


Frontiers In General Relativity
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Author : Peter A. Hogan
language : en
Publisher: Springer Nature
Release Date : 2021-03-31

Frontiers In General Relativity written by Peter A. Hogan and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-31 with Science categories.


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.



Approaches To Numerical Relativity


Approaches To Numerical Relativity
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Author : Ray D'Inverno
language : en
Publisher:
Release Date : 1992

Approaches To Numerical Relativity written by Ray D'Inverno and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.




Problems Of Collapse And Numerical Relativity


Problems Of Collapse And Numerical Relativity
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Author : D. Bancel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Problems Of Collapse And Numerical Relativity written by D. Bancel 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.


Proceedings of the NATO Advanced Research Workshop, Toulouse, France, November 7-11, 1983



Dynamical Spacetimes And Numerical Relativity


Dynamical Spacetimes And Numerical Relativity
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Author : Joan M. Centrella
language : en
Publisher: CUP Archive
Release Date : 1986-09-18

Dynamical Spacetimes And Numerical Relativity written by Joan M. Centrella and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-09-18 with Science categories.




Relativity And Scientific Computing


Relativity And Scientific Computing
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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


Numerical Relativity
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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.


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.



Numerical Relativity


Numerical Relativity
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Author : Masaru Shibata
language : en
Publisher: World Scientific
Release Date : 2015-11-05

Numerical Relativity written by Masaru Shibata and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-05 with Science categories.


' 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. Contents:Preliminaries for Numerical RelativityMethodology:Formulation for Initial-Value Problems of General RelativityNumerical Methods for a Solution of Einstein''s Evolution EquationMatter Equations in General RelativityFormulations for Initial Data, Equilibrium, and Quasi-EquilibriumExtracting Gravitational WavesFinding Black HolesApplications:Coalescence of Binary Compact ObjectsGravitational Collapse to a Black HoleNon-Radial Instability and Magnetohydrodynamics InstabilityHigher-Dimensional SimulationsConclusionAppendices:Killing Vector and Frobenius'' TheoremNumerical Relativity in Spherical SymmetryDecomposition by Spherical HarmonicsLagrangian and Hamiltonian Formulations of General RelativitySolutions of Riemann Problems in Special Relativistic HydrodynamicsLandau–Lifshitz Pseudo TensorLaws of Black Hole and Apparent HorizonPost–Newtonian Results for Coalescing Compact Binaries Readership: This book is suitable for advanced ungraduate students, postgraduate students and researchers who are interested in numerical relativity. Keywords:Numerical Relativity;Black Hole;Neutron Star;Gravitational Waves'



Introduction To 3 1 Numerical Relativity


Introduction To 3 1 Numerical Relativity
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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.



The Cosmic Frontiers Of General Relativity


The Cosmic Frontiers Of General Relativity
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Author : William J. Kaufmann
language : en
Publisher:
Release Date : 1979

The Cosmic Frontiers Of General Relativity written by William J. Kaufmann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Astronomy categories.