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 : 36. 76 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 : 81. 41 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 : 59. 29 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 : 46. 75 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.

Odyssee Im Zeptoraum

Author : Gian Francesco Giudice
ISBN : 9783642223952
Genre : Science
File Size : 66. 48 MB
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Der Band lädt Leser ein, die Teilchenphysik mit den Augen eines Insiders zu betrachten, dadurch bieten sich neue Einblicke in die Welt der Teilchen und ihrer Wechselwirkungen. Aufschlussreich und unterhaltsam thematisieren die Autoren die Geschichte des Large Hadron Collider (LHC) und erläutern die mit dem LHC verknüpften wissenschaftlichen Fragen: Existiert das mysteriöse Higgs-Teilchen wirklich? Erstreckt sich der Raum in zusätzliche Dimensionen? Das Buch verhilft dazu, die Entdeckungen der kommenden Jahre mitzuverfolgen und nachzuvollziehen.

3 1 Formalism In General Relativity

Author : Éric Gourgoulhon
ISBN : 9783642245244
Genre : Science
File Size : 82. 13 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.

Library Of Congress Catalogs

Author : Library of Congress
ISBN : UOM:39015054479459
Genre : Monographic series
File Size : 71. 11 MB
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Subject Guide To Books In Print

Author :
ISBN : STANFORD:36105025888533
Genre : American literature
File Size : 40. 47 MB
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Monographic Series

Author : Library of Congress
ISBN : UIUC:30112027608139
Genre : Children's literature in series
File Size : 60. 61 MB
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An Introduction To Non Perturbative Foundations Of Quantum Field Theory

Author : Franco Strocchi
ISBN : 9780191651335
Genre : Science
File Size : 56. 94 MB
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Quantum Field Theory (QFT) has proved to be the most useful strategy for the description of elementary particle interactions and as such is regarded as a fundamental part of modern theoretical physics. In most presentations, the emphasis is on the effectiveness of the theory in producing experimentally testable predictions, which at present essentially means Perturbative QFT. However, after more than fifty years of QFT, we still are in the embarrassing situation of not knowing a single non-trivial (even non-realistic) model of QFT in 3+1 dimensions, allowing a non-perturbative control. As a reaction to these consistency problems one may take the position that they are related to our ignorance of the physics of small distances and that QFT is only an effective theory, so that radically new ideas are needed for a consistent quantum theory of relativistic interactions (in 3+1 dimensions). The book starts by discussing the conflict between locality or hyperbolicity and positivity of the energy for relativistic wave equations, which marks the origin of quantum field theory, and the mathematical problems of the perturbative expansion (canonical quantization, interaction picture, non-Fock representation, asymptotic convergence of the series etc.). The general physical principles of positivity of the energy, Poincare' covariance and locality provide a substitute for canonical quantization, qualify the non-perturbative foundation and lead to very relevant results, like the Spin-statistics theorem, TCP symmetry, a substitute for canonical quantization, non-canonical behaviour, the euclidean formulation at the basis of the functional integral approach, the non-perturbative definition of the S-matrix (LSZ, Haag-Ruelle-Buchholz theory). A characteristic feature of gauge field theories is Gauss' law constraint. It is responsible for the conflict between locality of the charged fields and positivity, it yields the superselection of the (unbroken) gauge charges, provides a non-perturbative explanation of the Higgs mechanism in the local gauges, implies the infraparticle structure of the charged particles in QED and the breaking of the Lorentz group in the charged sectors. A non-perturbative proof of the Higgs mechanism is discussed in the Coulomb gauge: the vector bosons corresponding to the broken generators are massive and their two point function dominates the Goldstone spectrum, thus excluding the occurrence of massless Goldstone bosons. The solution of the U(1) problem in QCD, the theta vacuum structure and the inevitable breaking of the chiral symmetry in each theta sector are derived solely from the topology of the gauge group, without relying on the semiclassical instanton approximation.

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