Download or read book Problems of Collapse and Numerical Relativity written by D. Bancel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the NATO Advanced Research Workshop, Toulouse, France, November 7-11, 1983
Download or read book Numerical Relativity written by Thomas W. Baumgarte and published by Cambridge University Press. This book was released on 2010-06-24 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Scalar Fields in Numerical General Relativity written by Katy Clough and published by Springer. This book was released on 2018-06-16 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Frontiers in Numerical Relativity written by Charles R. Evans and published by Cambridge University Press. This book was released on 1989-04-13 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numerical Relativity written by Thomas W. Baumgarte and published by Cambridge University Press. This book was released on 2010-06-24 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.
Download or read book Stellar Collapse written by Chris L. Fryer and published by Springer Science & Business Media. This book was released on 2004-04-30 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Elements of Numerical Relativity and Relativistic Hydrodynamics written by Carles Bona and published by Springer. This book was released on 2009-07-14 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Literature 1984 Part 2 written by S. Böhme and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 928 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to 3 1 Numerical Relativity written by Miguel Alcubierre and published by OUP Oxford. This book was released on 2008-04-10 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numerical Relativity Studies in Anti de Sitter Spacetimes written by Daniel Santos-Oliván and published by . This book was released on 2017 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In this thesis we study several open problems using Numerical Relativity on asymptotically Anti-de Sitter (AdS) spacetimes. The understanding of the dynamics of AdS is interesting not only because of pure theoretical reasons but also because of its importance in the correspondence gauge/gravity. In the thesis we present three different topics. The first is our research on the gravitational collapse of massless scalar fields in 18dS spacetimes. We have developed a new method that combines two different formulations of the Einstein Field Equations to get closer and with more accuracy to the collapse. The simulation starts with a Cauchy evolution with pseudo-spectral methods and when the collapse is taking place, it performs a change of coordinates to a characteristic one to track the formation of the apparent horizon. The collapse of the scalar field happens after a number of bounces with the critical points being the separation between the different branches. We have numerical evidence that in the separation of the branches there is a power law for subcritical configurations in addition to the one for supercritical ones. This new power law confirms that there is a gap in the mass of the apparent horizon. In the second part, we introduce a shock waves model in AdS to study the far-from-equilibrium regime in the heavy ion collisions through the holographic correspondence in a non-conformal theory. Holographic collisions have attracted a lot of attention in the last few years because of the possibility of simulating strongly coupled systems but, as a drawback, we do not know yet the exact dual of the QCD that should explain the phenomena. In the models used until now, the shock waves correspond to conformal gauge theories while QCD is not conformal. In order to get closer to a description of the actual physical collisions we present the first shock wave collisions in a non-conformal theory. With this, we show how the non-conformality increases the hydrodynamisation time and also that this can happen before the equation of state is fulfilled. In the last part, we propose the use of spectral methods as a very strong option for high precision computations. Arbitrary precision arithmetic has two main problems. The first is the necessity of increasing a lot the discretisation units to reach the precision we want. The other one is the slowing down in the computational performance due to the fact that we need to emulate the fundamental operations with software because current processors are not adapted to carry out computations with precision different from the standard one. The exponential convergence of spectral methods can approximate functions to a very high accuracy with a few hundred terms in our spectral expansion while in other numerical methods it would be a few orders of magnitude larger. This makes these methods very attractive because they facilitate the accessibility to very small error simulations, removes the bottleneck of the memory demand and also help in the computational speed because fewer points are needed for the computation. We have tested this idea with the ANETO library for simulations in AdS spacetimes and the gravitational collapse in an asymptotically flat spacetime with very promising results. This library has been developed as a direct result of this thesis and that can be downloaded as Free Software." -- TDX.
Download or read book Numerical Relativity written by Masaru Shibata and published by World Scientific. This book was released on 2015-11-05 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamical Spacetimes and Numerical Relativity written by Joan M. Centrella and published by CUP Archive. This book was released on 1986-09-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gravitational Collapse and Relativity written by Fumitaka Satō and published by . This book was released on 1986 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book General Relativity and Gravitation 1992 Proceedings of the Thirteenth INT Conference on General Relativity and Gravitation held at Cordoba Argentina 28 June July 4 1992 written by R.J. Gleiser and published by CRC Press. This book was released on 1993-01-01 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Numerical Relativity written by Thomas W. Baumgarte and published by . This book was released on 2010 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, this textbook develops the mathematical formalism from first principles, then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves.
Download or read book Recent Topics in Theoretical Physics written by Hajime Takayama and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: My dear friends, I am very pleased and honored to give the opening address in the first Nishinomiya-Yukawa Memorial Symposium on Theoretical Physics. Nishi nomiya City wishes to extend a warm and sincere welcome to the many participants here in this Symposium. Nishinomiya is the city where Dr. Hideki Yukawa (1907-1981) was living when he published the famous paper "On the Interactions of Elementary Particles. I" in 1935. For this work he was awarded the Nobel Prize for Physics in 1949. To celebrate the 50th anniversary of his meson theory, our city has started the "Nishinomiya-Yukawa Memorial Activities" to promote the study of the oretical physics, which, we believe, is important for the progress of human society. The annual activities consist of this Symposium, the Nishinomiya Yukawa Memorial Prize for promising young physicists and Memorial Lec tures for citizens every year. They are conducted by the Steering Committee, the chairman of which is Professor K. Nishijima, the director of the Research Institute for Fundamental Physics, Kyoto University. I would like to express my sincere gratitude to the members of this Committee for their great efforts, as well as to the members of the Organizing Committee of this Symposium. Dr. Yukawa said in his book "Tabibito" ("A traveler" in Japanese), "One who inquires into the truth is just like a traveler without a map." I shall be very happy and proud if this Symposium is successful and provides a useful map for many, particularly for young, physicists.
Download or read book Computational Physics Proceedings Of The Cp90 International Conference written by Armin G Tenner and published by #N/A. This book was released on 1991-04-30 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: The invited talks include applications from the fields of solid state physics, plasma physics, hydrodynamics, high-energy physics, thermodymanics, atomic and molecular physics, chemistry, statistical physics, earth sciences, neural networks, meteorology, astrophysics, and presentations on cellular automata and quantum Monte Carlo methods. The emphasis is on methods of software development and engineering, graphic tools, and storage of physical data.
