A First Course in General Relativity

Author: Bernard Schutz
Publisher: Cambridge University Press
ISBN: 1139479008
Release Date: 2009-05-14
Genre: Science

Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz's characteristic ease and authority - from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole. This edition now contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible. Password protected solutions for instructors are available at www.cambridge.org/9780521887052.

A First Course in Loop Quantum Gravity

Author: Rodolfo Gambini
Publisher: Oxford University Press
ISBN: 9780199590759
Release Date: 2011-09-22
Genre: Science

Loop quantum gravity is one of the modern contenders for a unified description of quantum mechanics and gravity. Up to now no book has covered the material at the level of a college student or of other readers with some knowledge of college level physics. This book fills that gap.

Gravity from the Ground Up

Author: Bernard Schutz
Publisher: Cambridge University Press
ISBN: 0521455065
Release Date: 2003-12-04
Genre: Science

An accessible introduction to astronomy and general relativity, requiring only high-school level mathematics.

Geometrical Methods of Mathematical Physics

Author: Bernard F. Schutz
Publisher: Cambridge University Press
ISBN: 9781107268142
Release Date: 1980-01-28
Genre: Science

In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions.

A First Course in String Theory

Author: Barton Zwiebach
Publisher: Cambridge University Press
ISBN: 9781139643917
Release Date: 2009-01-22
Genre: Science

String theory made understandable. Barton Zwiebach is once again faithful to his goal of making string theory accessible to undergraduates. He presents the main concepts of string theory in a concrete and physical way to develop intuition before formalism, often through simplified and illustrative examples. Complete and thorough in its coverage, this new edition now includes AdS/CFT correspondence and introduces superstrings. It is perfectly suited to introductory courses in string theory for students with a background in mathematics and physics. New sections cover strings on orbifolds, cosmic strings, moduli stabilization, and the string theory landscape. Now with almost 300 problems and exercises, with password-protected solutions for instructors at www.cambridge.org/zwiebach.

Introduction to Spacetime

Author: Bertel Laurent
Publisher: World Scientific Publishing Company
ISBN: 9789814579148
Release Date: 1995-01-16
Genre:

The theory of relativity is tackled directly in this book, dispensing with the need to establish the insufficiency of Newtonian mechanics. This book takes advantage from the start of the geometrical nature of the relativity theory. The reader is assumed to be familiar with vector calculus in ordinary three-dimensional Euclidean space. Contents:Principles. Basic Applications:Clocks and AccelerationVector AlgebraVector CharacteristicsSimultaneity and Space DistanceLinear IndependenceRelative Velocity and Four-VelocityTwo-Dimensional SpacetimePlane WavesParticle ReactionsCurved World LinesTensors:Definition and ExamplesAlgebraic PropertiesTensor FieldsSpacetime VolumesCurrentsElectrodynamics:Sourcefree ElectromagnetismElectro-Magnetism with SourcesSolution of the Wave Equation Readership: Undergraduates and graduates in astronomy and astrophysics.

General Relativity

Author: Robert M. Wald
Publisher: University of Chicago Press
ISBN: 0226870375
Release Date: 2010-05-15
Genre: Science

"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today

A Short Course in General Relativity

Author: James Foster
Publisher: Springer Science & Business Media
ISBN: 9781475738414
Release Date: 2013-03-14
Genre: Science

Suitable as a one-semester course in general relativity for senior undergraduates or beginning graduates, this text clarifies the mathematical aspects of Einsteins general theory of relativity without sacrificing physical understanding. Beginning with an exposition of those aspects of tensor calculus and differential geometry needed for a proper exposition of the subject, the discussion turns to the space-time of general relativity and to geodesic motion, comparisons and contrasts, with Newtons theory being drawn where appropriate. A brief consideration of the field equations is followed by a discussion of physics in the vicinity of massive objects, including an elementary treatment of black holes. The book concludes with brief, introductory chapters on gravitational radiation and cosmology, and includes an appendix that reviews the special theory of relativity. In preparing this new edition, the authors have completely rewritten chapters to make the material readily accessible to physics students, while many examples, exercises and problems help guide the students through the theory.

Relativity Gravitation and Cosmology

Author: Ta-Pei Cheng
Publisher: Oxford University Press
ISBN: 9780199573639
Release Date: 2010-01
Genre: Science

This book provides an introduction to Einstein's general theory of relativity. A "physics-first" approach is adopted so that interesting applications come before the more difficult task of solving the Einstein equation. The book includes extensive coverage of cosmology, and is designed to allow readers to study the subject alone.

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.

An Introduction to Relativity

Author: Jayant V. Narlikar
Publisher: Cambridge University Press
ISBN: 9781139484688
Release Date: 2010-01-28
Genre: Science

General relativity is now an essential part of undergraduate and graduate courses in physics, astrophysics and applied mathematics. This simple, user-friendly introduction to relativity is ideal for a first course in the subject. Beginning with a comprehensive but simple review of special relativity, the book creates a framework from which to launch the ideas of general relativity. After describing the basic theory, it moves on to describe important applications to astrophysics, black hole physics, and cosmology. Several worked examples, and numerous figures and images, help students appreciate the underlying concepts. There are also 180 exercises which test and develop students' understanding of the subject. The textbook presents all the necessary information and discussion for an elementary approach to relativity. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521735612.

Relativity Gravitation and Cosmology

Author: Robert J. Lambourne
Publisher: Cambridge University Press
ISBN: 0521131383
Release Date: 2010-06-01
Genre: Science

The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological spacetimes. --