Spacetime and Geometry

Author: Sean Carroll
Publisher:
ISBN: 1292026634
Release Date: 2013-08
Genre: Science

Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity for advanced undergraduates and graduate students. It introduces modern techniques and an accessible and lively writing style to what can often be a formal and intimidating subject. Readers are led from physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. Subtle points are illuminated throughout the text by careful and entertaining exposition. A straightforward and lucid approach, balancing mathematical rigor and physical insight, are hallmarks of this important text.

The Geometry of Spacetime

Author: James J. Callahan
Publisher: Springer Science & Business Media
ISBN: 9781475767360
Release Date: 2013-03-09
Genre: Science

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.

Spacetime Geometry and Gravitation

Author: Pankaj Sharan
Publisher: Springer Science & Business Media
ISBN: 9783764399702
Release Date: 2009-09-18
Genre: Mathematics

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.

Gravitation und Kosmologie

Author: Helmuth Urbantke
Publisher: Spektrum Akademischer Verlag
ISBN: 3827421098
Release Date: 2008-08-26
Genre: Science

Der Klassiker von Sexl und Urbantke gibt eine Einführung in die Allgemeine Relativitätstheorie und Kosmologie, die auch Querverbindungen zur Elementarteilchenphysik berücksichtigt. Neben den "klassischen" Resultaten der Allgemeinen Relativitätstheorie behandeln die Autoren eine Vielzahl von Themen und Entwicklungen, die die Diskussion in den letzten Jahrzehnten bestimmt haben. Die Auswahl des Lehrstoffes wurde dabei vor allem im Hinblick auf Leser getroffen, die einen Überblick über elementare Grundlagen und Aspekte der Gravitationstheorie suchen, ohne sich aber auf Relativitätstheorie spezialisieren zu wollen.

The Geometry of Minkowski Spacetime

Author: Gregory L. Naber
Publisher: Springer Science & Business Media
ISBN: 9781441978387
Release Date: 2012-02-02
Genre: Mathematics

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)

General Relativity Without Calculus

Author: Jose Natario
Publisher: Springer Science & Business Media
ISBN: 3642214525
Release Date: 2011-08-01
Genre: Science

“General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.

Moderne mathematische Methoden der Physik

Author: Karl-Heinz Goldhorn
Publisher: Springer-Verlag
ISBN: 9783540885443
Release Date: 2009-09-03
Genre: Science

Der Vorzug dieses Skripts liegt in der radikalen Konzentration auf das Wesentliche: Abgedeckt wird ein breites Spektrum mathematischer Konzepte und Methoden, die für die heutige Physik relevant sind. Auf Details wird überall dort verzichtet, wo sie sich in über 30 Jahren Lehrerfahrung als wenig erhellend erwiesen haben. Bei etwa 70–80 % der Aufgaben geht es um das Einüben von Rechentechniken. Mit den übrigen Aufgaben werden Begriffe geklärt, Beweisschritte nachgetragen, logisches Argumentieren geübt oder Ausblick auf weiterführenden Stoff gegeben.

Einstein s Space Time

Author: Rafael Ferraro
Publisher: Springer Science & Business Media
ISBN: 9780387699462
Release Date: 2007-06-07
Genre: Science

This excellent textbook offers a unique take on relativity theory, setting it in its historical context. Ideal for those interested in relativity and the history of physics, the book contains a complete account of special relativity that begins with the historical analysis of the reasons that led to a change in our view of space and time. Its aim is to foster a deep understanding of relativistic spacetime and its consequences for Dynamics.

A Companion to the Philosophy of Time

Author: Adrian Bardon
Publisher: John Wiley & Sons
ISBN: 9781119145691
Release Date: 2015-11-02
Genre: Philosophy

A Companion to the Philosophy of Time presents the broadest treatment of this subject yet; 32 specially commissioned articles - written by an international line-up of experts – provide an unparalleled reference work for students and specialists alike in this exciting field. The most comprehensive reference work on the philosophy of time currently available The first collection to tackle the historical development of the philosophy of time in addition to covering contemporary work Provides a tripartite approach in its organization, covering history of the philosophy of time, time as a feature of the physical world, and time as a feature of experience Includes contributions from both distinguished, well-established scholars and rising stars in the field

Relativity

Author: Steve Adams
Publisher: CRC Press
ISBN: 0203018605
Release Date: 2003-09-02
Genre: Science

Provides the essential principles and results of special relativity as required by undergraduates. The text uses a geometric interpretation of space-time so that a general theory is seen as a natural extension of the special theory. Although most results are derived from first principles, complex and distracting mathematics is avoided and all mathematical steps and formulae are fully explained and interpreted, often with explanatory diagrams.; The emphasis throughout the text is on understanding the physics of relativity. The structure of the book is designed to allow students of different courses to choose their own route through the short self-contained sections in each chapter. The latter part of the book shows how Einstein's theory of gravity is central to unraveling fundamental questions of cosmology.

Space Time and Geometry

Author: Patrick Suppes
Publisher: Springer Science & Business Media
ISBN: 9789401026864
Release Date: 2013-03-09
Genre: Science

The articles in this volume have been stimulated in two different ways. More than two years ago the editor of Synthese, laakko Hintikka, an nounced a special issue devoted to space and time, and articles were solicited. Part of the reason for that announcement was also the second source of papers. Several years ago I gave a seminar on special relativity at Stanford, and the papers by Domotor, Harrison, Hudgin, Latzer and myself partially arose out of discussion in that seminar. All of the papers except those of Griinbaum, Fine, the second paper of Friedman, and the paper of Adams appeared in a special double issue of Synthese (24 (1972), Nos. 1-2). I am pleased to have been able to add the four additional papers mentioned in making the special issue a volume in the Synthese Library. Of these four additional articles, only the one by Fine has pre viously appeared in print (Synthese 22 (1971), 448-481); its relevance to the present volume is apparent. In preparing the papers for publication and in carrying out the various editonal chores of such a task, I am very much indebted to Mrs. Lillian O'Toole for her extensive assistance. INTRODUCTION The philosophy of space and time has been of permanent importance in philosophy, and most of the major historical figures in philosophy, such as Aristotle, Descartes and Kant, have had a good deal to say about the nature of space and time.

ber die spezielle und die allgemeine Relativit tstheorie

Author: Albert Einstein
Publisher: Springer Science & Business Media
ISBN: 9783540877769
Release Date: 2008-12-01
Genre: Science

Albert Einstein selbst liefert in dem Band eine allgemein verständliche Einführung in seine Relativitätstheorie. „Der Verfasser hat sich die größte Mühe gegeben, die Hauptgedanken möglichst deutlich und einfach vorzubringen, (...) in solchem Zusammenhange, wie sie tatsächlich entstanden sind“, schreibt er im Vorwort. Einstein will seine Einsichten einem Publikum vermitteln, das „sich vom allgemein wissenschaftlichen, philosophischen Standpunkt für die Theorie“ interessiert, „ohne den mathematischen Apparat der theoretischen Physik zu beherrschen.“