Vii Mexican School On Gravitation And Mathematical Physics 2006

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The Problem of Time

Author : Edward Anderson
Publisher : Springer
ISBN 13 : 3319588486
Total Pages : 917 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis The Problem of Time by : Edward Anderson

Download or read book The Problem of Time written by Edward Anderson and published by Springer. This book was released on 2017-09-18 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a treatise on time and on background independence in physics. It first considers how time is conceived of in each accepted paradigm of physics: Newtonian, special relativity, quantum mechanics (QM) and general relativity (GR). Substantial differences are moreover uncovered between what is meant by time in QM and in GR. These differences jointly source the Problem of Time: Nine interlinked facets which arise upon attempting concurrent treatment of the QM and GR paradigms, as is required in particular for a background independent theory of quantum gravity. A sizeable proportion of current quantum gravity programs - e.g. geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense. This book's foundational topic is thus furthermore of practical relevance in the ongoing development of quantum gravity programs. This book shows moreover that eight of the nine facets of the Problem of Time already occur upon entertaining background independence in classical (rather than quantum) physics. By this development, and interpreting shape theory as modelling background independence, this book further establishes background independence as a field of study. Background independent mechanics, as well as minisuperspace (spatially homogeneous) models of GR and perturbations thereabout are used to illustrate these points. As hitherto formulated, the different facets of the Problem of Time greatly interfere with each others' attempted resolutions. This book explains how, none the less, a local resolution of the Problem of Time can be arrived at after various reconceptualizations of the facets and reformulations of their mathematical implementation. Self-contained appendices on mathematical methods for basic and foundational quantum gravity are included. Finally, this book outlines how supergravity is refreshingly different from GR as a realization of background independence, and what background independence entails at the topological level and beyond.

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.

3+1 Formalism in General Relativity

Author : Éric Gourgoulhon
Publisher : Springer Science & Business Media
ISBN 13 : 3642245242
Total Pages : 304 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 Science & Business Media. This book was released on 2012-02-29 with total page 304 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.

Numerical Modeling of Space Plasma Flows

Author : Astronomical Society of the Pacific
Publisher :
ISBN 13 :
Total Pages : 372 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Numerical Modeling of Space Plasma Flows by : Astronomical Society of the Pacific

Download or read book Numerical Modeling of Space Plasma Flows written by Astronomical Society of the Pacific and published by . This book was released on 2008 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This volume is based on talks given at ASTRONUM-2007. This conference is the second in a series of international conferences organized by the Institute of Geophysics and Planetary Physics of the University of California at Riverside and the Laboratory for Research of the Fundamental Laws of the Universe of the French Commissariat of Atomic Energy. The conference subjects include turbulence and cosmic ray transport, astrophysical flows, space plasma flows, kinetic and hybrid simulations, numerical methods, algorithms, and frameworks, and data handling and visualization. All of these are of great importance for scientists investigating solar structure, the heliosphere, the Sun-Earth connection, and various astrophysical phenomena. The problems discussed at the conference involved significantly different scales, regions, or particle populations for which several sets of defining equations or concepts are necessary to understand the physical system in its entirety. This book will be of interest to specialists in applied mathematics, astrophysics, space physics, and computer science who apply novel numerical algorithms to the contemporary problems in these fields. Graduate students will find it a useful reference of the fundamental approaches to solving the fluid dynamics and Boltzmann equations governing space plasma flows." -- publisher's website

Advanced Summer School in Physics 2006

Author : Omar Miranda
Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advanced Summer School in Physics 2006 by : Omar Miranda

Download or read book Advanced Summer School in Physics 2006 written by Omar Miranda and published by American Institute of Physics. This book was released on 2007-02-21 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Advanced Summer School in Physics 2006 was to offer a series of courses which could be attended by graduate and advanced undergraduate students. This book collects the material presented throughout the course. The courses covered several frontier topics on physics such as Rigged Hilbert spaces, neutrinos, nanostructures, complex networks, and colloidal systems. All articles were peer reviewed.

Particles and Fields

Author : Adnan Bashir
Publisher : American Inst. of Physics
ISBN 13 : 9780735403543
Total Pages : 448 pages
Book Rating : 4.4/5 (35 download)

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Book Synopsis Particles and Fields by : Adnan Bashir

Download or read book Particles and Fields written by Adnan Bashir and published by American Inst. of Physics. This book was released on 2006-10-24 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this two-volume title contains the plenary lectures, research seminars, poster sessions, and laboratory courses presented at the X Mexican Workshop on Particles and Fields. The second part of this two-volume title contains 41 review papers written to commemorate the 20th anniversary of the founding of the Division of Particles and Fields of the Mexican Physical Society.

The British National Bibliography

Author : Arthur James Wells
Publisher :
ISBN 13 :
Total Pages : 2492 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The British National Bibliography by : Arthur James Wells

Download or read book The British National Bibliography written by Arthur James Wells and published by . This book was released on 2006 with total page 2492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Particles and Fields: Commemorative volume of the Division of Particles and Fields of the Mexican Physical Society

Author :
Publisher :
ISBN 13 :
Total Pages : 448 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Particles and Fields: Commemorative volume of the Division of Particles and Fields of the Mexican Physical Society by :

Download or read book Particles and Fields: Commemorative volume of the Division of Particles and Fields of the Mexican Physical Society written by and published by . This book was released on 2006 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part A: This Volume contains the plenary lectures, research seminars, poster sessions, and laboratory courses presented at the X Mexican Workshop on Particles and Fields. Part B: This volume contains 41 review papers written to commemorate the 20th anniversary of the founding of the Division of Particles and Fields of the Mexican Physical Society.

Mathematical Methods for Physics and Engineering

Author : Kenneth Franklin Riley
Publisher :
ISBN 13 :
Total Pages : 1008 pages
Book Rating : 4.:/5 (641 download)

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Book Synopsis Mathematical Methods for Physics and Engineering by : Kenneth Franklin Riley

Download or read book Mathematical Methods for Physics and Engineering written by Kenneth Franklin Riley and published by . This book was released on 1997 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Particles, Strings, and Cosmology

Author : Arttu Rajantie
Publisher :
ISBN 13 :
Total Pages : 498 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Particles, Strings, and Cosmology by : Arttu Rajantie

Download or read book Particles, Strings, and Cosmology written by Arttu Rajantie and published by . This book was released on 2007 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent years, particle physics and cosmology have got ever closer together. Most of the new theoretical developments in the quest to describe the universe at the most fundamental level are based on string theory. The PASCOS-07 symposium gave a comprehensive review of the status, recent developments, and future prospects of these fields.

Introduction to 3+1 Numerical Relativity

Author : Miguel Alcubierre
Publisher : OUP Oxford
ISBN 13 : 0191548294
Total Pages : 464 pages
Book Rating : 4.1/5 (915 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 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.

Quantum Gravity

Author : Bertfried Fauser
Publisher : Springer Science & Business Media
ISBN 13 : 3764379782
Total Pages : 343 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Quantum Gravity by : Bertfried Fauser

Download or read book Quantum Gravity written by Bertfried Fauser and published by Springer Science & Business Media. This book was released on 2007-02-15 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with an overview of the different mathematical attempts to quantize gravity written by leading experts in this field. Also discussed are the possible experimental bounds on quantum gravity effects. The contributions have been strictly refereed and are written in an accessible style. The present volume emerged from the 2nd Blaubeuren Workshop "Mathematical and Physical Aspects of Quantum Gravity".

Deserfest

Author : Stanley Deser
Publisher : World Scientific
ISBN 13 : 9812774807
Total Pages : 390 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Deserfest by : Stanley Deser

Download or read book Deserfest written by Stanley Deser and published by World Scientific. This book was released on 2006 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the contributions to the proceedings of Deserfest OCo a festschrift in honor of Stanley Deser. Many of Stanley Deser''s colleagues and longtime collaborators, including Richard Arnowitt and Charles Misner of OC ADMOCO fame, contribute insighted article. Ranging from lower dimensional gravity theories all the way to supergravity in eleven dimensions and M-theory, the papers highlight the wide impact that Deser has had in the field. Contents: Some Results in M-Theory Inspired Phenomenology (R Arnowitt et al.); A Non-Geometric Approach to 11-Dimensional Supergravity (L Brink); Generalized Holonomy in M-Theory (A Batrachenko et al.); Electric-Magnetic Duality in Gravity (M Henneaux & C Teitelboim); R 4 Terms in Supergravity and M-Theory (P Howe); Marriage of 4-Dimensional Gravity to the 3-Dimensional Chern-Simons Term (R Jackiw); Some Applications of the ADM Formalism (J E Nelson); The Main Postulates and Results of Loop Quantum Gravity (L Smolin); Milne and Torus Universes Meet (A Waldron); Diquarks as Inspiration and as Objects (F Wilczek); and other papers. Readership: Researchers in the field of high energy physics, gravitation and supersymmetry."

Trends in General Relativity and Quantum Cosmology

Author : Charles V. Benton
Publisher : Nova Publishers
ISBN 13 : 9781594547942
Total Pages : 172 pages
Book Rating : 4.5/5 (479 download)

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Book Synopsis Trends in General Relativity and Quantum Cosmology by : Charles V. Benton

Download or read book Trends in General Relativity and Quantum Cosmology written by Charles V. Benton and published by Nova Publishers. This book was released on 2006 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cosmology deals with the nature of the universe. It can be broadly divided into three great ages. The first began in the 6th century BC with the Pythagorean concept of a spherical Earth that is part of a universe in which the motions of the planets are governed by the harmonious relations of natural laws. The second began in the 16th century with the Copernican revolution. This in turn led into Newton's infinite universe. The third began in the early 20th century with Albert Einstein's theory of general relativity and developed into the expanding universe we know today. Einstein's general theory of relativity extended the new space and time concepts of the special theory of relativity from the domain of electric and magnetic phenomena to all of physics and, particularly, to the theory of gravitation. By building on Einstein's previous work on special relativity, general relativity sought to deal with accelerating frames of reference. This in turn led to the principle of equivalence. By dealing with accelerating frames of reference, general relativity provides astronomers with the best theory to predict the effects of gravity. This book examines in detail new and important work in this field.

Thirteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics And Relativistic Field Theories - Proceedings Of The Mg13 Meeting On General Relativity (In 3 Volumes)

Download Thirteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics And Relativistic Field Theories - Proceedings Of The Mg13 Meeting On General Relativity (In 3 Volumes) PDF Online Free

Author : Remo Ruffini
Publisher : World Scientific
ISBN 13 : 9814630004
Total Pages : 2807 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Thirteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics And Relativistic Field Theories - Proceedings Of The Mg13 Meeting On General Relativity (In 3 Volumes) by : Remo Ruffini

Download or read book Thirteenth Marcel Grossmann Meeting, The: On Recent Developments In Theoretical And Experimental General Relativity, Astrophysics And Relativistic Field Theories - Proceedings Of The Mg13 Meeting On General Relativity (In 3 Volumes) written by Remo Ruffini and published by World Scientific. This book was released on 2015-01-26 with total page 2807 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Marcel Grossmann Meetings seek to further the development of the foundations and applications of Einstein's general relativity by promoting theoretical understanding in the relevant fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. The meetings discuss recent developments in classical and quantum aspects of gravity, and in cosmology and relativistic astrophysics, with major emphasis on mathematical foundations and physical predictions, having the main objective of gathering scientists from diverse backgrounds for deepening our understanding of spacetime structure and reviewing the current state of the art in the theory, observations and experiments pertinent to relativistic gravitation. The range of topics is broad, going from the more abstract classical theory, quantum gravity, branes and strings, to more concrete relativistic astrophysics observations and modeling.The three volumes of the proceedings of MG13 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 33 morning plenary talks during 6 days, and 75 parallel sessions over 4 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string/brane theories, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics including such topics as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star and pulsar astrophysics. Volumes B and C include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, binary systems, radiative transfer, accretion disks, quasors, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, and cosmic rays and the history of general relativity.

Physics and Mathematics of Gravitation

Author : Kerstin E. Kunze
Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Physics and Mathematics of Gravitation by : Kerstin E. Kunze

Download or read book Physics and Mathematics of Gravitation written by Kerstin E. Kunze and published by American Institute of Physics. This book was released on 2009-05-29 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Spanish Relativity Meeting is an annual meeting providing a forum where all subjects in relativity and gravitation can be discussed. During the Spanish Relativity Meeting 2008 topics in general relativity, mathematical relativity, cosmology, astrophysics, numerical relativity, black holes, theories of gravity and string theory were treated.

Non-commutative Geometry in Mathematics and Physics

Author : Giuseppe Dito
Publisher : American Mathematical Soc.
ISBN 13 : 0821841475
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Non-commutative Geometry in Mathematics and Physics by : Giuseppe Dito

Download or read book Non-commutative Geometry in Mathematics and Physics written by Giuseppe Dito and published by American Mathematical Soc.. This book was released on 2008 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the proceedings of the conference on Topics in Deformation Quantization and Non-Commutative Structures held in Mexico City in September 2005. It contains survey papers and original contributions by various experts in the fields of deformation quantization and non-commutative derived algebraic geometry in the interface between mathematics and physics.It also contains an article based on the XI Memorial Lectures given by M. Kontsevich, which were delivered as part of the conference.This is an excellent introductory volume for readers interested in learning about quantization as deformation, Hopf algebras, and Hodge structures in the framework of non-commutative algebraic geometry.