Scalar Fields In Numerical General Relativity

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Scalar Fields in Numerical General Relativity

Author : Katy Clough
Publisher : Springer
ISBN 13 : 3319926721
Total Pages : 197 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Scalar Fields in Numerical General Relativity by : Katy Clough

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.

Numerical Relativity: Starting from Scratch

Author : Thomas W. Baumgarte
Publisher : Cambridge University Press
ISBN 13 : 1108945171
Total Pages : 235 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Numerical Relativity: Starting from Scratch by : Thomas W. Baumgarte

Download or read book Numerical Relativity: Starting from Scratch written by Thomas W. Baumgarte and published by Cambridge University Press. This book was released on 2021-04-08 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical relativity has emerged as the key tool to model gravitational waves - recently detected for the first time - that are emitted when black holes or neutron stars collide. This book provides a pedagogical, accessible, and concise introduction to the subject. Relying heavily on analogies with Newtonian gravity, scalar fields and electromagnetic fields, it introduces key concepts of numerical relativity in a context familiar to readers without prior expertise in general relativity. Readers can explore these concepts by working through numerous exercises, and can see them 'in action' by experimenting with the accompanying Python sample codes, and so develop familiarity with many techniques commonly employed by publicly available numerical relativity codes. This is an attractive, student-friendly resource for short courses on numerical relativity, as well as providing supplementary reading for courses on general relativity and computational physics.

Frontiers in Numerical Relativity

Author : Charles R. Evans
Publisher : Cambridge University Press
ISBN 13 : 0521366666
Total Pages : 451 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Frontiers in Numerical Relativity by : Charles R. Evans

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.

Introduction to 3+1 Numerical Relativity

Author : Miguel Alcubierre
Publisher : Oxford University Press
ISBN 13 : 0199205671
Total Pages : 459 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis Introduction to 3+1 Numerical Relativity by : Miguel Alcubierre

Download or read book Introduction to 3+1 Numerical Relativity written by Miguel Alcubierre and published by Oxford University Press. This book was released on 2008-04-10 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Exact Solutions and Scalar Fields in Gravity

Author : Alfredo Macías
Publisher : Springer Science & Business Media
ISBN 13 : 0306471159
Total Pages : 328 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Exact Solutions and Scalar Fields in Gravity by : Alfredo Macías

Download or read book Exact Solutions and Scalar Fields in Gravity written by Alfredo Macías and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divided into four parts, this book covers recent developments in topics pertaining to gravity theories, including discussions on the presence of scalar fields. Part One is devoted to exact solutions in general relativity, and is mainly concerned with the results of rotating null dust beams and fluids. Also included is a panoramic vision of new research directions in this area, which would require revising certain theorems and their possible extensions within gravity theories, new aspects concerning the Ernst potentials, double Kerr spacetimes, and rotating configurations. In particular, there is a detailed discussion of totally symmetric and totally geodesic spaces, in which a method for generating (2+1)-dimensional solutions from (3+1)-dimensional solutions is given. Part Two deals with alternative theories of gravity, all of which include scalar fields and gauge fields. Here, quantum and cosmological effects, which arise from both gravity theories in four and higher dimensions and from metric-affine theories, are investigated. Part Three is devoted to cosmological and inflationary scenarios. Local effects, such as the influence of scalar fields in protogalactic interactions, numerical studies of the collapse of molecular cores, as well as the inverse inflationary problem and the blue eigenvalue spectrum of it, are considered. Moreover, the role of scalar fields as dark matter and quantum cosmology in the Bergman-Wagoner and Gowdy theories, together with the relation of the conformal symmetry and deflationary gas universe, are likewise presented. The last part of the book includes some mixed topics which are still in the experimental stage. Among them are the foundation of the Maxwell theory, a discussion on electromagnetic Thirring problems, a note on the staticity of black holes with non-minimally coupled scalar fields, and a study of the Lorentz force free charged fluids in general relativity. Thus, this book is the most up-to-date, comprehensive collection of papers on the subject of exact solutions and scalar fields in gravity and is a valuable tool for researchers in the area.

Numerical Relativity

Author : Thomas W. Baumgarte
Publisher : Cambridge University Press
ISBN 13 : 052151407X
Total Pages : 717 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Numerical Relativity by : Thomas W. Baumgarte

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.

Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity

Author : Sergio Luigi Cacciatori
Publisher : Springer Nature
ISBN 13 : 3031218450
Total Pages : 261 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity by : Sergio Luigi Cacciatori

Download or read book Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity written by Sergio Luigi Cacciatori and published by Springer Nature. This book was released on 2023-03-15 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity. Chapters are based on courses and lectures given at the July 2019 Domoschool, International Alpine School in Mathematics and Physics, held in Domodossola, Italy, which was titled “Einstein Equations: Physical and Mathematical Aspects of General Relativity”. Structured in two parts, the first features four courses from prominent experts on topics such as local energy in general relativity, geometry and analysis in black hole spacetimes, and antimatter gravity. The second part features a variety of papers based on talks given at the summer school, including topics like: Quantum ergosphere General relativistic Poynting-Robertson effect modelling Numerical relativity Length-contraction in curved spacetime Classicality from an inhomogeneous universe Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity will be a valuable resource for students and researchers in mathematics and physicists interested in exploring how their disciplines connect to general relativity.

Elements of Numerical Relativity and Relativistic Hydrodynamics

Author : Carles Bona
Publisher : Springer
ISBN 13 : 3642011640
Total Pages : 214 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Elements of Numerical Relativity and Relativistic Hydrodynamics by : Carles Bona

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 214 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.

Approaches to Numerical Relativity

Author : Ray d'Inverno
Publisher : Cambridge University Press
ISBN 13 : 0521439760
Total Pages : 402 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Approaches to Numerical Relativity by : Ray d'Inverno

Download or read book Approaches to Numerical Relativity written by Ray d'Inverno and published by Cambridge University Press. This book was released on 1992-12-10 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contributions by leading workers in the field given at an international workshop on Numerical Relativity held in Southampton in December 1991.

General Relativity and Gravitation

Author : M. A. H. MacCallum
Publisher : CUP Archive
ISBN 13 : 9780521332965
Total Pages : 440 pages
Book Rating : 4.3/5 (329 download)

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Book Synopsis General Relativity and Gravitation by : M. A. H. MacCallum

Download or read book General Relativity and Gravitation written by M. A. H. MacCallum and published by CUP Archive. This book was released on 1987-09-24 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

Download 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 PDF Online Free

Author : R.J. Gleiser
Publisher : CRC Press
ISBN 13 : 9780750302616
Total Pages : 460 pages
Book Rating : 4.3/5 (26 download)

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Book Synopsis 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 by : R.J. Gleiser

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.

3+1 Formalism in General Relativity

Author : Éric Gourgoulhon
Publisher : Springer
ISBN 13 : 3642245250
Total Pages : 294 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis 3+1 Formalism in General Relativity by : Éric Gourgoulhon

Download or read book 3+1 Formalism in General Relativity written by Éric Gourgoulhon and published by Springer. This book was released on 2012-02-27 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Classical to Quantum Fields

Author : Laurent Baulieu
Publisher : Oxford University Press
ISBN 13 : 0198788398
Total Pages : 951 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis From Classical to Quantum Fields by : Laurent Baulieu

Download or read book From Classical to Quantum Fields written by Laurent Baulieu and published by Oxford University Press. This book was released on 2017 with total page 951 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.

General Relativity and Gravitation

Author : Petros Florides
Publisher : World Scientific
ISBN 13 : 9814479713
Total Pages : 376 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis General Relativity and Gravitation by : Petros Florides

Download or read book General Relativity and Gravitation written by Petros Florides and published by World Scientific. This book was released on 2005-11-07 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: ' This authoritative volume provides a snapshot of the state of the art in gravitational physics and related mathematical fields, as well as a review of recent achievements and prospects for future work. With contributing authors among the world leaders in their respective fields, this proceedings volume is a worthy addition to this conference series, which constitutes one of the most important international meetings in the areas general relativity and gravitation. Contents:Towards Detection of Gravitation Waves (B C Barish)Black Holes and The Information Paradox (S Hawking)Probing General Relativity on the Scales of Cosmology (P J E Peebles)Cosmic Superstrings Revisited (J Polchinski)Black Holes in Active Galactic Nuclei (M Rees)Complex Methods, Twistors, and Connection Variables (J Lewandowski)Early Universe (M Sasaki)Dark Energy and The Cosmological Constant (V Sahni)Gravitational Wave Sources: Source Science and Statistical Methods (A Buonanno)Detector Performance, Operation, and Commissioning (E Coccia)Laboratory and Observational Tests of Gravitational Theories (J H Gundlach)Quantum Field Theory on Curved Spacetime (K Fredenhagen)and other papers Readership: Researchers and academics in astrophysics, astronomy, cosmology, quantum physics, theoretical physics and mathematical physics. Keywords:Gravitation;General Relativity;Cosmology;Quantum Gravity;Numerical Relativity;Astrophysics;String TheoryKey Features:Includes the latest developments in all areas of gravitational physicsContributions by world-leading researchers in the fieldContinues the high standard of the general relativity conference proceedings seriesReviews: “… this volume provides a nice summary of a considerable portion of general relativity just after the turn of the century … It contains some thought-provoking articles as well as some useful, thoughtful reviews.” General Relativity and Gravitation '

The Einstein Equations and the Large Scale Behavior of Gravitational Fields

Author : Piotr T. Chrusciel
Publisher : Birkhäuser
ISBN 13 : 3034879539
Total Pages : 487 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Einstein Equations and the Large Scale Behavior of Gravitational Fields by : Piotr T. Chrusciel

Download or read book The Einstein Equations and the Large Scale Behavior of Gravitational Fields written by Piotr T. Chrusciel and published by Birkhäuser. This book was released on 2012-12-06 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents state-of-the-art results on the analysis of the Einstein equations and the large scale structure of their solutions. It combines in a unique way introductory chapters and surveys of various aspects of the analysis of the Einstein equations in the large. It discusses applications of the Einstein equations in geometrical studies and the physical interpretation of their solutions. Open problems concerning analytical and numerical aspects of the Einstein equations are pointed out. Background material on techniques in PDE theory, differential geometry, and causal theory is provided.

The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics

Author : Stephen Paul Braham
Publisher : American Mathematical Soc.
ISBN 13 : 9780821885888
Total Pages : 400 pages
Book Rating : 4.8/5 (858 download)

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Book Synopsis The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics by : Stephen Paul Braham

Download or read book The Sixth Canadian Conference on General Relativity and Relativistic Astrophysics written by Stephen Paul Braham and published by American Mathematical Soc.. This book was released on with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the refereed proceedings of the Sixth Canadian Conference on General Relativity and Relativistic Astrophysics held in May 1995 at the University of New Brunswick. The book includes invited talks and contributed talks and posters including state-of-the art reviews of many of the most recent important developments in gravitational physics. This book would serve as a good supplement to standard texts on the topic. Features: * Review articles in key areas: black holes, numerical relativity, etc. * Contributions covering most of gravitational physics * Useful articles for students who wish to begin exploring the issues discusses * Invited talks given by researchers known for their ability to communicate their expertise

Relativity and Gravitation

Author : Jiří Bičák
Publisher : Springer
ISBN 13 : 3319067613
Total Pages : 590 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Relativity and Gravitation by : Jiří Bičák

Download or read book Relativity and Gravitation written by Jiří Bičák and published by Springer. This book was released on 2014-06-06 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: In early April 1911 Albert Einstein arrived in Prague to become full professor of theoretical physics at the German part of Charles University. It was there, for the first time, that he concentrated primarily on the problem of gravitation. Before he left Prague in July 1912 he had submitted the paper “Relativität und Gravitation: Erwiderung auf eine Bemerkung von M. Abraham” in which he remarkably anticipated what a future theory of gravity should look like. At the occasion of the Einstein-in-Prague centenary an international meeting was organized under a title inspired by Einstein's last paper from the Prague period: "Relativity and Gravitation, 100 Years after Einstein in Prague". The main topics of the conference included: classical relativity, numerical relativity, relativistic astrophysics and cosmology, quantum gravity, experimental aspects of gravitation and conceptual and historical issues. The conference attracted over 200 scientists from 31 countries, among them a number of leading experts in the field of general relativity and its applications. This volume includes abstracts of the plenary talks and full texts of contributed talks and articles based on the posters presented at the conference. These describe primarily original results of the authors. Full texts of the plenary talks are included in the volume "General Relativity, Cosmology and Astrophysics--Perspectives 100 Years after Einstein in Prague", eds. J. Bičák and T. Ledvinka, published also by Springer Verlag.