Problems Of Collapse And Numerical Relativity
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Author | : D. Bancel |
Publisher | : Springer Science & Business Media |
Total Pages | : 384 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9400964609 |
Proceedings of the NATO Advanced Research Workshop, Toulouse, France, November 7-11, 1983
Author | : Monique Signore |
Publisher | : |
Total Pages | : 381 |
Release | : 1984 |
Genre | : |
ISBN | : |
Author | : Thomas W. Baumgarte |
Publisher | : Cambridge University Press |
Total Pages | : 717 |
Release | : 2010-06-24 |
Genre | : Science |
ISBN | : 1139643177 |
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 | : Katy Clough |
Publisher | : Springer |
Total Pages | : 220 |
Release | : 2019-07-10 |
Genre | : |
ISBN | : 9783030064877 |
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.
Author | : Chris L. Fryer |
Publisher | : Springer Science & Business Media |
Total Pages | : 454 |
Release | : 2004-04-30 |
Genre | : Mathematics |
ISBN | : 9781402019920 |
Supernovae, hypernovae and gamma-ray bursts are among the most energetic explosions in the universe. The light from these outbursts is, for a brief time, comparable to billions of stars and can outshine the host galaxy within which the explosions reside. Most of the heavy elements in the universe are formed within these energetic explosions. Surprisingly enough, the collapse of massive stars is the primary source of not just one, but all three of these explosions. As all of these explosions arise from stellar collapse, to understand one requires an understanding of the others. Stellar Collapse marks the first book to combine discussions of all three phenomena, focusing on the similarities and differences between them. Designed for graduate students and scientists newly entering this field, this book provides a review not only of these explosions, but the detailed physical models used to explain them from the numerical techniques used to model neutrino transport and gamma-ray transport to the detailed nuclear physics behind the evolution of the collapse to the observations that have led to these three classes of explosions.
Author | : S. Böhme |
Publisher | : Springer Science & Business Media |
Total Pages | : 928 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 3662123460 |
Author | : Charles R. Evans |
Publisher | : Cambridge University Press |
Total Pages | : 451 |
Release | : 1989-04-13 |
Genre | : 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.
Author | : Miguel Alcubierre |
Publisher | : OUP Oxford |
Total Pages | : 464 |
Release | : 2008-04-10 |
Genre | : Science |
ISBN | : 0191548294 |
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 | : Joan M. Centrella |
Publisher | : CUP Archive |
Total Pages | : 488 |
Release | : 1986-09-18 |
Genre | : Science |
ISBN | : 9780521328609 |
Author | : R.J. Gleiser |
Publisher | : CRC Press |
Total Pages | : 460 |
Release | : 1993-01-01 |
Genre | : Science |
ISBN | : 9780750302616 |
General Relativity and Gravitation 1992 contains the best of 700 papers presented at the tri-annual INT conference, generally recognized as the key conference in the area. The plenary and invited papers are published in full, along with summaries of parallel symposia and workshops. The list of plenary speakers is as impressive as ever, with contributions from Jim Hartle, Roger Penrose, and Lee Smolin among many others.