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Spacetime Geometry and Gravitation

Spacetime  Geometry and Gravitation Author Pankaj Sharan
ISBN-10 9783764399702
Release 2009-09-18
Pages 355
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This introductory textbook on the general theory of relativity presents a solid foundation for those who want to learn about relativity. The subject is presented in a physically intuitive, but mathematically rigorous style. The topic of relativity is covered in a broad and deep manner. Besides, the aim is that after reading the book a student should not feel discouraged when she opens advanced texts on general relativity for further reading. The book consists of three parts: An introduction to the general theory of relativity. Geometrical mathematical background material. Topics that include the action principle, weak gravitational fields and gravitational waves, Schwarzschild and Kerr solution, and the Friedman equation in cosmology. The book is suitable for advanced graduates and graduates, but also for established researchers wishing to be educated about the field.



Progress in Mathematical Relativity Gravitation and Cosmology

Progress in Mathematical Relativity  Gravitation and Cosmology Author Alfonso García-Parrado
ISBN-10 9783642401572
Release 2013-11-26
Pages 485
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This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held in Guimarães, Portugal, September 2012. It features more than 70 papers on a range of topics in general relativity and gravitation, from mathematical cosmology, numerical relativity and black holes to string theory and quantum gravity. Under the title "Progress in Mathematical Relativity, Gravitation and Cosmology," ERE 2012 was attended by an exceptional international list of over a hundred participants from the five continents and over forty countries. ERE is organized every year by one of the Spanish or Portuguese groups working in this area and is supported by the Spanish Society of Gravitation and Relativity (SEGRE). This book will be of interest to researchers in mathematics and physics.



Electrodynamics

Electrodynamics Author William Baylis
ISBN-10 0817640258
Release 2004-01-12
Pages 380
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The emphasis in this text is on classical electromagnetic theory and electrodynamics, that is, dynamical solutions to the Lorentz-force and Maxwell's equations. The natural appearance of the Minkowski spacetime metric in the paravector space of Clifford's geometric algebra is used to formulate a covariant treatment in special relativity that seamlessly connects spacetime concepts to the spatial vector treatments common in undergraduate texts. Baylis' geometrical interpretation, using such powerful tools as spinors and projectors, essentially allows a component-free notation and avoids the clutter of indices required in tensorial treatments. The exposition is clear and progresses systematically - from a discussion of electromagnetic units and an explanation of how the SI system can be readily converted to the Gaussian or natural Heaviside-Lorentz systems, to an introduction of geometric algebra and the paravector model of spacetime, and finally, special relativity. Other topics include Maxwell's equation(s), the Lorentz-force law, the Fresnel equations, electromagnetic waves and polarization, wave guides, radiation from accelerating charges and time-dependent currents, the Liénard-Wiechert potentials, and radiation reaction, all of which benefit from the modern relativistic approach. Numerous worked examples and exercises dispersed throughout the text help the reader understand new concepts and facilitate self-study of the material. Each chapter concludes with a set of problems, many with answers. Complete solutions are also available. An excellent feature is the integration of Maple into the text, thereby facilitating difficult calculations. To download accompanying Maple worksheets, please visit http://www.cs.uwindsor.ca/users/b/baylis



Quantum Field Theory and Gravity

Quantum Field Theory and Gravity Author Felix Finster
ISBN-10 9783034800433
Release 2012-02-08
Pages 382
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One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area.



Further Advances in Twistor Theory

Further Advances in Twistor Theory Author L.J. Mason
ISBN-10 1584880473
Release 2001-03-15
Pages 432
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Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory. At the same time, the theory continues to offer promising new insights into the nature of quantum theory and gravitation. Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces is actually the fourth in a series of books compiling articles from Twistor Newsletter-a somewhat informal journal published periodically by the Oxford research group of Roger Penrose. Motivated both by questions in differential geometry and by the quest to find a twistor correspondence for general Ricci-flat space times, this volume explores deformed twistor spaces and their applications. Articles from the world's leading researchers in this field-including Roger Penrose-have been written in an informal, easy-to-read style and arranged in four chapters, each supplemented by a detailed introduction. Collectively, they trace the development of the twistor programme over the last 20 years and provide an overview of its recent advances and current status.



Differential Geometry Gauge Theories and Gravity

Differential Geometry  Gauge Theories  and Gravity Author M. Göckeler
ISBN-10 0521378214
Release 1989-07-28
Pages 230
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Cambridge University Press is committed to keeping scholarly work in print for as long as possible. A short print-run of this academic paperback has been produced using digital technology. This technology has enabled Cambridge to keep the book in print for specialists and students when traditional methods of reprinting would not have been feasible. While the new digital cover differs from the original, the text content is identical to that of previous printings.



Progress of Theoretical Physics

Progress of Theoretical Physics Author
ISBN-10 UVA:X006163544
Release 2006
Pages
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Progress of Theoretical Physics has been writing in one form or another for most of life. You can find so many inspiration from Progress of Theoretical Physics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Progress of Theoretical Physics book for free.



Mathematics and Physics

Mathematics and Physics Author MANIN
ISBN-10 9781489967824
Release 2013-12-19
Pages 99
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Mathematics and Physics has been writing in one form or another for most of life. You can find so many inspiration from Mathematics and Physics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Mathematics and Physics book for free.



The Geometry of Spacetime

The Geometry of Spacetime Author James J. Callahan
ISBN-10 9781475767360
Release 2013-03-09
Pages 463
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Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.



Advances in String Theory

Advances in String Theory Author Eric R. Sharpe
ISBN-10 9780821847640
Release 2008
Pages 244
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Over the past decade string theory has had an increasing impact on many areas of physics: high energy and hadronic physics, gravitation and cosmology, mathematical physics and even condensed matter physics. The impact has been through many major conceptual and methodological developments in quantum field theory in the past fifteen years. In addition, string theory has exerted a dramatic influence on developments in contemporary mathematics, including Gromov-Witten theory, mirror symmetry in complex and symplectic geometry, and important ramifications in enumerative geometry. This volume is derived from a conference of younger leading practitioners around the common theme: "What is string theory?" The talks covered major current topics, both mathematical and physical, related to string theory. Graduate students and research mathematicians interested in string theory in mathematics and physics will be interested in this workshop.



100 Years of Gravity and Accelerated Frames

100 Years of Gravity and Accelerated Frames Author Jong-Ping Hsu
ISBN-10 9789812703408
Release 2005
Pages 623
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This collection of papers presents ideas and problems arising over the past 100 years regarding classical and quantum gravity, gauge theories of gravity, and spacetime transformations of accelerated frames. Both Einstein''s theory of gravity and the YangOCoMills theory are gauge invariant. The invariance principles in physics have transcended both kinetic and dynamic properties and are at the very heart of our understanding of the physical world. In this spirit, this book attempts to survey the development of various formulations for gravitational and YangOCoMills fields and spacetime transformations of accelerated frames, and to reveal their associated problems and limitations. The aim is to present some of the leading ideas and problems discussed by physicists and mathematicians. We highlight three aspects: formulations of gravity as a YangOCoMills field, first discussed by Utiyama; problems of gravitational theory, discussed by Feynman, Dyson and others; spacetime properties and the physics of fields and particles in accelerated frames of reference. These unfulfilled aspects of Einstein and YangOCoMills'' profound thoughts present a great challenge to physicists and mathematicians in the 21st century."



Clifford Algebras

Clifford Algebras Author Rafal Ablamowicz
ISBN-10 9781461220442
Release 2012-12-06
Pages 626
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The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.



Advances in the Interplay Between Quantum and Gravity Physics

Advances in the Interplay Between Quantum and Gravity Physics Author Peter G. Bergmann
ISBN-10 9789401003476
Release 2012-12-06
Pages 554
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In this XVII Course of the International School of Cosmology and Gravitation devoted to "ADVANCES IN THE INTERPLAY BETWEEN QUANTUM AND GRAVITY PHYSICS" we have considered different aspects of the influence of gravity on quantum systems. In order to achieve this aim, in many lectures, seminars and discussions we have strengthened the interplay between gravity and quantum systems starting from the situation in the early universe based on astrophysical observations, up to the earthly based experiments with atom interferometry for probing the structure of space-time. Thus we have had timely lectures on the quantum field and horizon of a black hole including reviews of the problem of black holes thermodynamics and entropy, quantum information, quantum black holes, quantum evaporation and Hawking radiation, recent advances in stockastic gravity. We have also discussed quantum fluctuations in inflationary universe, quantum effects and reheating after inflation, and superplanckian energies in Hawking radiation. In this regard the subject of spinors in purely affine space-time and Dirac matter according to Weyl in the generalized theory of gravitation were developed . The dualism between space-time and matter has been deeply analyzed in order to see why, for general relativity, this is an obstacle for quantization of the theory. Also canonical Gravity and Mach's principle, torsion and curvature as commutator for Quantum Gravity and Dirac Geometry of real space-time were analysed, together with the problem of 5-Dimensional Projective Unified Field theory and Multidimensional Gravity and Cosmology.



Advances in Theoretical Physics

Advances in Theoretical Physics Author Alan H. Luther
ISBN-10 9781483286952
Release 2013-10-22
Pages 264
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At Copenhagen in June 1988, the 80th Anniversary of the birth of L D Landau, the much respected Soviet physicist and author of the Course on Theoretical Physics, published by Pergamon Press, was celebrated with an International Symposium in his honour. The papers presented at that meeting are published here, providing an overview of recent progress in theoretical physics, covering super-string theories, chaos, high Tc superconductivity and biomolecules.



Challenges for the 21st Century

Challenges for the 21st Century Author L H Y Chen
ISBN-10 9789814490863
Release 2001-05-08
Pages 528
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The International Conference on Fundamental Sciences: Mathematics and Theoretical Physics provided a forum for reviewing some of the significant developments in mathematics and theoretical physics in the 20th century; for the leading theorists in these fields to expound and discuss their views on new ideas and trends in the basic sciences as the new millennium approached; for increasing public awareness of the importance of basic research in mathematics and theoretical physics; and for promoting a high level of interest in mathematics and theoretical physics among school students and teachers. This was a major conference, with invited lectures by some of the leading experts in various fields of mathematics and theoretical physics. Contents:Mathematics:A Review of Critical Point Theory (K-C Chang)Data Tuning (P Hall)Applied Mathematics Meets Signal Processing (S Mallat)Chromatic Graph Theory (C Thomassen)Three-Dimensional Subgroups and Unitary Representations (D A Vogan, Jr.)Theoretical Physics:The Future of Particle Physics (J D Bjorken)The Mathematics of M-Theory (R Dijkgraaf)Aspects of Anomalies in Field Theory (K Fujikawa)General Relativity and Quantum Mechanics (J B Hartle)Perturbative Quantum Field Theory (G Sterman)and other papers Readership: Researchers in mathematics and theoretical physics. Keywords:Proceedings;Conference;Mathematics;Theoretical Physics;Singapore (Singapore)



Advances in Theoretical and Mathematical Physics

Advances in Theoretical and Mathematical Physics Author
ISBN-10 CHI:76685802
Release 2005
Pages
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Advances in Theoretical and Mathematical Physics has been writing in one form or another for most of life. You can find so many inspiration from Advances in Theoretical and Mathematical Physics also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Advances in Theoretical and Mathematical Physics book for free.



Geometrodynamics of Gauge Fields

Geometrodynamics of Gauge Fields Author Eckehard W. Mielke
ISBN-10 9783319297347
Release 2017-03-01
Pages 373
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This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail.