Minkowski Space: The Spacetime of Special Relativity, Joachim Schroter
Автор: Pankaj S Joshi Название: Gravitational Collapse and Spacetime Singularities ISBN: 110740536X ISBN-13(EAN): 9781107405363 Издательство: Cambridge Academ Рейтинг: Цена: 8554.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Investigating the issues involved in gravitational collapse, this book includes a detailed review of recent research into the subject, and several examples of collapse models are investigated in detail. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology.
Автор: E.G.Peter Rowe Название: Geometrical Physics in Minkowski Spacetime ISBN: 1849968667 ISBN-13(EAN): 9781849968669 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "This attractive book provides an account of the theory of special relativity from a geometrical viewpoint, explaining the unification and insights that are given by such a treatment. [ ] Can be read with profit by all who have taken a first course in relativity physics." ASLIB Book Guide
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Автор: Gregory L. Naber Название: The Geometry of Minkowski Spacetime ISBN: 1493902415 ISBN-13(EAN): 9781493902415 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman's characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type classification of electromagnetic fields in both tensor and spinor form, a topology for Minkowski spacetime whose homeomorphism group is essentially the Lorentz group, and a careful discussion of Dirac's famous Scissors Problem and its relation to the notion of a two-valued representation of the Lorentz group. This second edition includes a new chapter on the de Sitter universe which is intended to serve two purposes. The first is to provide a gentle prologue to the steps one must take to move beyond special relativity and adapt to the presence of gravitational fields that cannot be considered negligible. The second is to understand some of the basic features of a model of the empty universe that differs markedly from Minkowski spacetime, but may be recommended by recent astronomical observations suggesting that the expansion of our own universe is accelerating rather than slowing down. The treatment presumes only a knowledge of linear algebra in the first three chapters, a bit of real analysis in the fourth and, in two appendices, some elementary point-set topology.
The first edition of the book received the 1993 CHOICE award for Outstanding Academic Title.
Reviews of first edition:
"... a valuable contribution to the pedagogical literature which will be enjoyed by all who delight in precise mathematics and physics." (American Mathematical Society, 1993)
"Where many physics texts explain physical phenomena by means of mathematical models, here a rigorous and detailed mathematical development is accompanied by precise physical interpretations." (CHOICE, 1993)
"... his talent in choosing the most significant results and ordering them within the book can't be denied. The reading of the book is, really, a pleasure." (Dutch Mathematical Society, 1993)
This book is devoted to the Einstein's field equations of general relativity for self-gravitating massive scalar fields. We formulate the initial value problem when the initial data set is a perturbation of an asymptotically flat, spacelike hypersurface in Minkowski spacetime. We then establish the existence of an Einstein development associated with this initial data set, which is proven to be an asymptotically flat and future geodesically complete spacetime.
Автор: Christodoulou Demetrios, Klainerman Sergiu Название: The Global Nonlinear Stability of the Minkowski Space (PMS-41) ISBN: 0691603154 ISBN-13(EAN): 9780691603155 Издательство: Wiley Рейтинг: Цена: 14573.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singul
Автор: Schneider Название: Convex Bodies: The Brunn–Minkowski Theory ISBN: 1107601010 ISBN-13(EAN): 9781107601017 Издательство: Cambridge Academ Рейтинг: Цена: 25502.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Now in its second edition, this classic text has been expanded to reflect significant developments in Brunn-Minkowski theory over the past two decades. It gives a complete presentation from basics to the exposition of current research, with full proofs, pointers to other fields and a fully updated reference list.
Описание: This Book Is Aimed At Graduate Students And Researchers In Physics And Mathematics Who Seek To Understand The Basics Of Supersymmetry From A Mathematical Point Of View. It Provides A Bridge Between The Physical And Mathematical Approaches To The Superworld. The Physicist Who Is Devoted To Learning The Basics Of Supergeometry Can Find A Friendly Approach Here, Since Only The Concepts That Are Strictly Necessary Are Introduced. On The Other Hand, The Mathematician Who Wants To Learn From Physics Will Find That All The Mathematical Assumptions Are Firmly Rooted In Physical Concepts. This May Open Up A Channel Of Communication Between The Two Communities Working On Different Aspects Of Supersymmetry. Starting From Special Relativity And Minkowski Space, The Idea Of Conformal Space And Superspace Is Built Step By Step In A Mathematically Rigorous Way, And Always Connecting With The Ideas And Notation Used In Physics. While The Book Is Mainly Devoted To These Important Physical Examples Of Superspaces, It Can Also Be Used As An Introduction To The Field Of Supergeometry, Where A Reader Can Ease Into The Subject Without Being Overwhelmed With The Technical Difficulties.
Описание: This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.
Описание: This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.
Автор: Matzner Richard A., Shepley L. C. Название: Spacetime and Geometry: The Alfred Schild Lectures ISBN: 0292741383 ISBN-13(EAN): 9780292741386 Издательство: Marston Book Services Рейтинг: Цена: 3166.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: These reports, at the forefront of relativity theory when they were written, in particular the geometrical aspects of spacetime theory, were the result of the Alfred Schild Memorial Lecture Series presented at the University of Texas at Austin beginning in 1977.
Автор: Vesselin Petkov Название: Relativity and the Nature of Spacetime ISBN: 3642242359 ISBN-13(EAN): 9783642242359 Издательство: Springer Рейтинг: Цена: 11099.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book develops a thorough analysis of relativistic effects to address the question of what is the nature (the ontological status) of spacetime. In this new edition, arguments are strengthened, and new developments in the field are presented and integrated.
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