Gravity

Author: James B. Hartle
Publisher: Pearson
ISBN: 1292039140
Release Date: 2013-11-01
Genre: Science

Einstein's theory of general relativity is a cornerstone of modern physics. It also touches upon a wealth of topics that students find fascinating-black holes, warped spacetime, gravitational waves, and cosmology. Until now, it has not been included in the curriculum of many undergraduate physics courses because the required math is too advanced. The aim of this ground-breaking new text is to bring general relativity into the undergraduate curriculum and make this fundamental theory accessible to virtually all physics majors. Using a physics first approach to the subject, renowned relativist James Hartle provides a fluent and accessible introduction that uses a minimum of new mathematics and illustrates a wealth of applications. Recognizing that there is typically not enough time in a short introductory course for the traditional, math-first, approach to the subject, Hartle presents a physics-first introduction to general relativity that begins with the essential physical applications.

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.

Gravitational Curvature

Author: Theodore Frankel
Publisher: Courier Corporation
ISBN: 9780486289151
Release Date: 2013-04-10
Genre: Science

This classic text and reference monograph applies modern differential geometry to general relativity. A brief mathematical introduction to gravitational curvature, it emphasizes the subject's geometric essence and stresses the global aspects of cosmology. Suitable for independent study as well as for courses in differential geometry, relativity, and cosmology. 1979 edition.

Einstein Gravity in a Nutshell

Author: A. Zee
Publisher: Princeton University Press
ISBN: 9781400847457
Release Date: 2013-05-05
Genre: Science

This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers)

Einstein

Author: Walter Isaacson
Publisher: Simon and Schuster
ISBN: 9781416539322
Release Date: 2007-04-10
Genre: Biography & Autobiography

By the author of the acclaimed bestsellers Benjamin Franklin and Steve Jobs, this is the definitive biography of Albert Einstein. How did his mind work? What made him a genius? Isaacson’s biography shows how his scientific imagination sprang from the rebellious nature of his personality. His fascinating story is a testament to the connection between creativity and freedom. Based on newly released personal letters of Einstein, this book explores how an imaginative, impertinent patent clerk—a struggling father in a difficult marriage who couldn’t get a teaching job or a doctorate—became the mind reader of the creator of the cosmos, the locksmith of the mysteries of the atom, and the universe. His success came from questioning conventional wisdom and marveling at mysteries that struck others as mundane. This led him to embrace a morality and politics based on respect for free minds, free spirits, and free individuals. These traits are just as vital for this new century of globalization, in which our success will depend on our creativity, as they were for the beginning of the last century, when Einstein helped usher in the modern age.

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.

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.“

An Introduction to General Relativity

Author: L. P. Hughston
Publisher: Cambridge University Press
ISBN: 052133943X
Release Date: 1990
Genre: Mathematics

This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.

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.

Einstein s General Theory of Relativity

Author: Øyvind Grøn
Publisher: Springer Science & Business Media
ISBN: 9780387692005
Release Date: 2007-08-24
Genre: Science

This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.

General Relativity

Author: Hans Stephani
Publisher: Cambridge University Press
ISBN: 0521370663
Release Date: 1990-06-29
Genre: Science

This book is an excellent introduction to the subjects of gravitation and space-time structure. It presumes a good background in special relativity, electrodynamics, and classical mechanics. The book discusses the foundations of Riemannian geometry; the derivation of the Einstein field equations; linearised theory, far fields and gravitational waves; the invariant characterization of exact solutions; gravitational collapse; cosmology; and a final chapter deals with alternative gravitation theories and the problem of quantum gravity. This revised and correct edition brings the experimental evidence up to date. In addition, the sections on quantum gravity have been rewritten and enlarged, and now form a coherent introduction to this subject.

An Introduction to General Relativity and Cosmology

Author: Jerzy Plebanski
Publisher: Cambridge University Press
ISBN: 9781139458405
Release Date: 2006-08-14
Genre: Science

General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.

Quantum Field Theory and Gravity

Author: Felix Finster
Publisher: Springer Science & Business Media
ISBN: 9783034800433
Release Date: 2012-02-08
Genre: Mathematics

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.

Introduction to General Relativity Black Holes and Cosmology

Author: Yvonne Choquet-Bruhat
Publisher: Oxford University Press, USA
ISBN: 9780199666461
Release Date: 2015-01-21
Genre: Science

General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.

General Relativity

Author: M. P. Hobson
Publisher: Cambridge University Press
ISBN: 0521829518
Release Date: 2006-02-02
Genre: Science

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.