general relativity an introduction for physicists

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General Relativity

Author : M. P. Hobson
ISBN : 0521829518
Genre : Science
File Size : 63. 10 MB
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General Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminate and extend the discussion in the text.

Die Spezielle Relativit Tstheorie

Author : Helmut Gunther
ISBN : 9783658007133
Genre : Science
File Size : 49. 5 MB
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Die Spezielle Relativitätstheorie steht und fällt mit der universellen Konstanz der Lichtgeschwindigkeit. Darauf gründet die Einstein-Minkowski-Axiomatik, die wegen ihrer grundsätzlichen Bedeutung in keinem Lehrbuch zur Theoretischen Physik fehlen darf. Hier soll außerdem auf eine zweite, unabhängige, aber vollkommen äquivalente axiomatische Darstellung aufmerksam gemacht werden, die weniger abstrakt und daher geeignet ist, auch demjenigen einen Einstieg in die relativistische Welt zu erschließen, der nicht unbedingt theoretischer Physiker werden will. Dabei geht es dann primär um den Gang von bewegten und ruhenden Uhren und die Längen von bewegten und ruhenden Maßstäben. Ganz wesentlich ist es, von Anfang an den definitorischen Charakter bei der Bestimmung des Begriffes der Gleichzeitigkeit zu verstehen. Der sorgfältige Umgang mit dieser Definition liefert den Schlüssel zur Auflösung der relativistischen Paradoxa, wie dies ausführlich beim Zwillingsparadoxon gezeigt wird. Die Unterscheidung von Korrelation und Wechselwirkung erlaubt eine Betrachtung von Tachyonen, ohne die Kausalität zu verletzen. Anhand eines Gittermodells der relativistischen Raum-Zeit kann am Ende sogar das Zustandekommen der Längenkontraktion, der Zeitdilatation und der relativistischen Massenformel veranschaulicht werden. Es werden die Schlüsselexperimente erklärt und 48 Übungsaufgaben vorgerechnet.

General Relativity

Author : M. P. Hobson
ISBN : 0521536391
Genre :
File Size : 56. 73 MB
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General Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminate and extend the discussion in the text.

Introduction To Relativity

Author : John B. Kogut
ISBN : 9780080924083
Genre : Science
File Size : 26. 9 MB
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Introduction to Relativity is intended to teach physics and astronomy majors at the freshman, sophomore or upper-division levels how to think about special and general relativity in a fundamental, but accessible, way. Designed to render any reader a "master of relativity", everything on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. Simplicity: the book teaches space and time in relativity in a physical fashion with minimal mathematics Conciseness: the book teaches relativity by emphasizing the basic simplicity of the principles at work Visualization: space-time diagrams (Minkowski) illustrate phenomena from simultaneity to the resolution of the twin paradox in a concrete fashion Worked problems: two chapters of challenging problems solved in several ways illustrate and teach the principles Problem sets: each chapter is accompanied by a full set of problems for the student that teach the principles and some new phenonmena

General Relativity

Author : Michael J W Hall
ISBN : 9781681748849
Genre : Science
File Size : 61. 59 MB
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This book is based on a set of 18 class-tested lectures delivered to fourth-year physics undergraduates at Griffith University in Brisbane, and the book presents new discoveries by the Nobel-prize winning LIGO collaboration. The author begins with a review of special relativity and tensors and then develops the basic elements of general relativity (a beautiful theory that unifies special relativity and gravitation via geometry) with applications to the gravitational deflection of light, global positioning systems, black holes, gravitational waves, and cosmology. The book provides readers with a solid understanding of the underlying physical concepts; an ability to appreciate and in many cases derive important applications of the theory; and a solid grounding for those wishing to pursue their studies further. General Relativity: An Introduction to Black Holes, Gravitational Waves, and Cosmology also connects general relativity with broader topics. There is no doubt that general relativity is an active and exciting field of physics, and this book successfully transmits that excitement to readers.

Die Relativit Tstheorie Einsteins

Author : Max Born
ISBN : 9783642554599
Genre : Science
File Size : 49. 71 MB
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Dieses Buch ist bis heute eine der populärsten Darstellungen der Relativitätstheorie geblieben. In der vorliegenden Version haben J. Ehlers und M. Pössel vom Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut) in Golm/Potsdam den Bornschen Text kommentiert und einen den anschaulichen, aber präzisen Stil Borns wahrendes, umfangreiches Ergänzungskapitel hinzugefügt, das die stürmische Entwicklung der Relativiatätstheorie bis hin zu unseren Tagen nachzeichnet. Eingegangen wird auf Gravitationswellen und Schwarze Löcher, auf neuere Entwicklungen der Kosmologie, auf Ansätze zu einer Theorie der Quantengravitation und auf die zahlreichen raffinierten Experimente, welche die Gültigkeit der Einsteinschen Theorie mit immer größerer Genauigkeit bestätigt haben. Damit bleibt dieses Buch nach wie vor einer der unmittelbarsten Zugänge zur Relativitätstheorie für alle die sich für eine über das rein populärwissenschaftliche hinausgehende Einführung interessieren.

Introduction To General Relativity

Author : John Dirk Walecka
ISBN : 9789813227712
Genre :
File Size : 63. 28 MB
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It is important for every physicist today to have a working knowledge of Einstein's theory of general relativity. Introduction to General Relativity published in 2007 was aimed at first-year graduate students, or advanced undergraduates, in physics. Only a basic understanding of classical lagrangian mechanics is assumed; beyond that, the reader should find the material to be self-contained. The mechanics problem of a point mass constrained to move without friction on a two-dimensional surface of arbitrary shape serves as a paradigm for the development of the mathematics and physics of general relativity. Special relativity is reviewed. The basic principles of general relativity are then presented, and the most important applications are discussed. The final special topics section takes the reader up to a few areas of current research. An extensive set of accessible problems enhances and extends the coverage. As a learning and teaching tool, this current book provides solutions to those problems. This text and solutions manual are meant to provide an introduction to the subject. It is hoped that these books will allow the reader to approach the more advanced texts and monographs, as well as the continual influx of fascinating new experimental results, with a deeper understanding and sense of appreciation.

Relativity

Author : Steve Adams
ISBN : 0203018605
Genre : Science
File Size : 49. 16 MB
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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.

Einf Hrung In Die Moderne Kosmologie

Author : Andrew Liddle
ISBN : 9783527670925
Genre : Science
File Size : 80. 94 MB
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Dank sich stets verbessernder boden- und weltraumgestützter Teleskope stehen der Kosmologie inzwischen Daten zur Verfügung, die Rückschlüsse auf immer frühere Phasen des Universums und Vergleiche mit Modellvorstellungen erlauben. Daher gewinnt die Kosmologie in den Astronomiekursen der Universitäten beständig an Wichtigkeit. Die "Einführung in die Moderne Kosmologie" ist eine anschauliche und leicht verständliche Darstellung moderner kosmologischer Konzepte, die neben zahlreichen Beispielen und Übungsaufgaben auch Hinweise und Endergebnisse enthält, sodass das Erlernte sofort ausprobiert und kontrolliert werden kann. Das Buch ist klar eingeteilt und behandelt in sechs separaten Kapiteln Themen für Fortgeschrittene, darunter relativistische Kosmologie und Neutrino-Kosmologie. Die vorliegende Übersetzung der zweiten Auflage wurde wesentlich ergänzt und erweitert und umfasst neueste Beobachtungsergebnisse sowie zusätzliches Material zur empirischen Kosmologie und Strukturbildung.

An Introduction To General Relativity

Author : Samir Kumar Bose
ISBN : UOM:39076006286970
Genre : Science
File Size : 62. 53 MB
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