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Author : Joan M. Centrella
Publisher : CUP Archive
Page : 488 pages
File Size : 46,8 Mb
Release : 1986-09-18
Category : Science
ISBN : 0521328608
Author : Miguel Alcubierre
Publisher : OUP Oxford
Page : 464 pages
File Size : 42,6 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.
Author : Carles Bona,Carlos Palenzuela-Luque
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 42,5 Mb
Release : 2005-07-07
Category : Science
ISBN : 3540257799
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 : Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 46,9 Mb
Release : 2009-07-24
Category : Science
ISBN : 9783642011634
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 : S. Böhme,U. Esser,H. Hefele,I. Heinrich,W. Hofmann,D. Krahn,V. R. Matas,L. D. Schmadel,G. Zech
Publisher : Springer Science & Business Media
Page : 1180 pages
File Size : 49,8 Mb
Release : 2013-12-14
Category : Science
ISBN : 9783662123829
From the reviews: Astronomy and Astrophysics Abstracts has appeared in semi-annual volumes since 1969 and it has already become one of the fundamental publications in the fields of astronomy, astrophysics and neighbouring sciences. It is the most important English-language abstracting journal in the mentioned branches. ... The abstracts are classified under more than hundred subject categories, thus permitting a quick survey of the whole extended material. The AAA is a valuable and important publication for all students and scientists working in the fields of astronomy and related sciences. As such it represents a necessary ingredient of any astronomical library all over the world." Space Science Reviews #1 "Dividing the whole field plus related subjects into 108 categories, each work is numbered and most are accompanied by brief abstracts. Fairly comprehensive cross-referencing links relevant papers to more than one category, and exhaustive author and subject indices are to be found at the back, making the catalogues easy to use. The series appears to be so complete in its coverage and always less than a year out of date that I shall certainly have to make a little more space on those shelves for future volumes." The Observatory Magazine #1
Author : Thomas W. Baumgarte,Stuart L. Shapiro
Publisher : Cambridge University Press
Page : 717 pages
File Size : 53,8 Mb
Release : 2010-06-24
Category : Science
ISBN : 9781139643177
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 : Fred I. Cooperstock
Publisher : World Scientific
Page : 243 pages
File Size : 47,5 Mb
Release : 2009
Category : Science
ISBN : 9789814271172
This book brings Einstein's general relativity into action in new ways at scales ranging from the tiny Planck scale to the scale of immense galactic clusters. It presents the case that Einstein's theory of gravity can describe the observed dynamics of galaxies without invoking the unknown OC dark matterOCO required in models based on Newtonian gravity. Drawing on the author's experience as a lecturer and on his own research, the book covers the essentials of Einstein's special and general relativity at a level accessible to undergraduate students. The early chapters provide a compact introduction to relativity for readers who have little or no background in the subject. Hermann Bondi's very transparent approach to special relativity is expanded to resolve the OC twin paradoxOCO using only elementary mathematics. In later chapters, general relativity is used to extend the concept of the Planck scale, to address the role of the cosmological term and to analyze the concept of OC time machinesOCO.
Author : Thomas W. Baumgarte,Stuart L. Shapiro
Publisher : Cambridge University Press
Page : 717 pages
File Size : 40,6 Mb
Release : 2010-06-24
Category : Science
ISBN : 9780521514071
Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.
Author : Charles R. Evans,Lee Samuel Finn,David W. Hobill
Publisher : Cambridge University Press
Page : 451 pages
File Size : 44,7 Mb
Release : 1989-04-13
Category : Mathematics
ISBN : 9780521366663
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 : Masaru Shibata
Publisher : World Scientific
Page : 844 pages
File Size : 43,6 Mb
Release : 2015-11-05
Category : Science
ISBN : 9789814699747
' 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'
Author : Patricio S Letelier,Waldyr A Rodrigues Jr
Publisher : World Scientific
Page : 606 pages
File Size : 49,8 Mb
Release : 1994-07-27
Category : Electronic
ISBN : 9789814552172
This volume contains five mini-courses: Nakedly Singular Solutions of Einstein's Equations (K Lake); Clifford Algebras, Relativity and Quantum Mechanics (P Lounesto); Numerical Relativity and Dynamical Evolution of Black Hole Spacetimes (R Matzner); Soliton and Vacua in Relativity Theory Revisited (G W Gibbons); Cosmic Strings and Their Observational Consequences (E P S Shellard); and seventy-seven research papers by Latin American scientists.
Author : M. A. H. MacCallum
Publisher : CUP Archive
Page : 440 pages
File Size : 48,9 Mb
Release : 1987-09-24
Category : Science
ISBN : 0521332966
Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 48,6 Mb
Release : 2024-06-10
Category : Electronic
ISBN : 9789814468282
Author : Harvey R. Brown
Publisher : Clarendon Press
Page : 240 pages
File Size : 50,7 Mb
Release : 2005-11-24
Category : Science
ISBN : 9780191534706
Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory' approach inspired by the logic of thermodynamics. A handful of physicists and philosophers have over the last century likewise expressed doubts about Einstein's treatment of the relativistic behaviour of rigid bodies and clocks in motion in the kinematical part of his great paper, and suggested that the dynamical understanding of length contraction and time dilation intimated by the immediate precursors of Einstein is more fundamental. Harvey Brown both examines and extends these arguments (which support a more 'constructive' approach to relativistic effects in Einstein's terminology), after giving a careful analysis of key features of the pre-history of relativity theory. He argues furthermore that the geometrization of the theory by Minkowski in 1908 brought illumination, but not a causal explanation of relativistic effects. Finally, Brown tries to show that the dynamical interpretation of special relativity defended in the book is consistent with the role this theory must play as a limiting case of Einstein's 1915 theory of gravity: the general theory of relativity. Appearing in the centennial year of Einstein's celebrated paper on special relativity, Physical Relativity is an unusual, critical examination of the way Einstein formulated his theory. It also examines in detail certain specific historical and conceptual issues that have long given rise to debate in both special and general relativity theory, such as the conventionality of simultaneity, the principle of general covariance, and the consistency or otherwise of the special theory with quantum mechanics. Harvey Brown' s new interpretation of relativity theory will interest anyone working on these central topics in modern physics.
Author : Miguel Alcubierre
Publisher : Oxford University Press
Page : 459 pages
File Size : 45,5 Mb
Release : 2008-04-10
Category : Computers
ISBN : 9780199205677
This book is a self-contained introduction to the field of numerical relativity. Starting from basic general relativity, it introduces all the concepts and tools necessary for the fully relativistic simulation of astrophysical systems with strong and dynamical gravitational fields.