introduction to 3 1 numerical relativity international series of monographs on physics

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Introduction To 3 1 Numerical Relativity

Author : Miguel Alcubierre
ISBN : 9780199205677
Genre : Computers
File Size : 83. 16 MB
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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.

Scalar Fields In Numerical General Relativity

Author : Katy Clough
ISBN : 9783319926728
Genre : Science
File Size : 53. 6 MB
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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.

Phase Space Methods For Degenerate Quantum Gases

Author : Bryan J. Dalton
ISBN : 9780199562749
Genre : Science
File Size : 67. 99 MB
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This is a text and reference book on phase space theory for post-graduate students and researchers in the fields of condensed matter, cold quantum gases, and quantum optics who already have a basic understanding of quantum theory. The aim of the book is to provide a theoretical framework for understanding the physics of degenerate quantum gases, which occur in all these fields. The phase space theory is outlined both in terms of a treatment involving separatesingle particle states or modes and in terms of a treatment involving quantum fields. The book contains detailed derivations of all the key results, includes chapters covering necessary backgroundmathematics, with many exercises being provided for readers who wish to check their understanding.

Advanced General Relativity

Author : Claude Barrabès
ISBN : 9780191501883
Genre : Science
File Size : 32. 25 MB
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This book is aimed at students making the transition from a first course on general relativity to a specialized subfield. It presents a variety of topics under the general headings of gravitational waves in vacuo and in a cosmological setting, equations of motion, and black holes, all having a clear physical relevance and a strong emphasis on space-time geometry. Each chapter could be used as a basis for an early postgraduate project for those who are exploring avenues into research in general relativity and who have already accumulated the required technical knowledge. The presentation of each chapter is research monograph style, rather than text book style, in order to impress on interested students the need to present their research in a clear and concise format. Students with advanced preparation in general relativity theory might find a treasure trove here.

Library Of Congress Catalogs

Author : Library of Congress
ISBN : UOM:39015054479459
Genre : Monographic series
File Size : 69. 91 MB
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Monographic Series

Author : Library of Congress
ISBN : UIUC:30112027608139
Genre : Children's literature in series
File Size : 80. 63 MB
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3 1 Formalism In General Relativity

Author : Éric Gourgoulhon
ISBN : 9783642245244
Genre : Science
File Size : 41. 37 MB
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This graduate-level, course-based text is devoted to the 3+1 formalism of general relativity, which also constitutes the theoretical foundations of numerical relativity. The book starts by establishing the mathematical background (differential geometry, hypersurfaces embedded in space-time, foliation of space-time by a family of space-like hypersurfaces), and then turns to the 3+1 decomposition of the Einstein equations, giving rise to the Cauchy problem with constraints, which constitutes the core of 3+1 formalism. The ADM Hamiltonian formulation of general relativity is also introduced at this stage. Finally, the decomposition of the matter and electromagnetic field equations is presented, focusing on the astrophysically relevant cases of a perfect fluid and a perfect conductor (ideal magnetohydrodynamics). The second part of the book introduces more advanced topics: the conformal transformation of the 3-metric on each hypersurface and the corresponding rewriting of the 3+1 Einstein equations, the Isenberg-Wilson-Mathews approximation to general relativity, global quantities associated with asymptotic flatness (ADM mass, linear and angular momentum) and with symmetries (Komar mass and angular momentum). In the last part, the initial data problem is studied, the choice of spacetime coordinates within the 3+1 framework is discussed and various schemes for the time integration of the 3+1 Einstein equations are reviewed. The prerequisites are those of a basic general relativity course with calculations and derivations presented in detail, making this text complete and self-contained. Numerical techniques are not covered in this book.

Subject Guide To Books In Print

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ISBN : STANFORD:36105025888533
Genre : American literature
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Books In Series In The United States

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ISBN : UOM:39015058376966
Genre : Children's literature in series
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Aapt Announcer

Author : American Association of Physics Teachers
ISBN : STANFORD:36105000500962
Genre : Physics
File Size : 43. 20 MB
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