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 Student s Manual for A First Course in General Relativity

Author: Robert B. Scott
Publisher: Cambridge University Press
ISBN: 9781316445143
Release Date: 2016-01-21
Genre: Science

This comprehensive student manual has been designed to accompany the leading textbook by Bernard Schutz, A First Course in General Relativity, and uses detailed solutions, cross-referenced to several introductory and more advanced textbooks, to enable self-learners, undergraduates and postgraduates to master general relativity through problem solving. The perfect accompaniment to Schutz's textbook, this manual guides the reader step-by-step through over 200 exercises, with clear easy-to-follow derivations. It provides detailed solutions to almost half of Schutz's exercises, and includes 125 brand new supplementary problems that address the subtle points of each chapter. It includes a comprehensive index and collects useful mathematical results, such as transformation matrices and Christoffel symbols for commonly studied spacetimes, in an appendix. Supported by an online table categorising exercises, a Maple worksheet and an instructors' manual, this text provides an invaluable resource for all students and instructors using Schutz's textbook.

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: 9781139457347
Release Date: 2003-12-04
Genre: Science

This book invites the reader to understand our Universe, not just marvel at it. From the clock-like motions of the planets to the catastrophic collapse of a star into a black hole, gravity controls the Universe. Gravity is central to modern physics, helping to answer the deepest questions about the nature of time, the origin of the Universe and the unification of the forces of nature. Linking key experiments and observations through careful physical reasoning, the author builds the reader's insight step-by-step from simple but profound facts about gravity on Earth to the frontiers of research. Topics covered include the nature of stars and galaxies, the mysteries of dark matter and dark energy, black holes, gravitational waves, inflation and the Big Bang. Suitable for general readers and for undergraduate courses, the treatment uses only high-school level mathematics, supplemented by optional computer programs, to explain the laws of physics governing gravity.

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.

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.

General Relativity

Author: Norbert Straumann
Publisher: Springer Science & Business Media
ISBN: 9783662118276
Release Date: 2013-11-11
Genre: Science

The foundations are thoroughly developed together with the required mathematical background from differential geometry developed in Part III. The author also discusses the tests of general relativity in detail, including binary pulsars, with much space is devoted to the study of compact objects, especially to neutron stars and to the basic laws of black-hole physics. This well-structured text and reference enables readers to easily navigate through the various sections as best matches their backgrounds and perspectives, whether mathematical, physical or astronomical. Very applications oriented, the text includes very recent results, such as the supermassive black-hole in our galaxy and first double pulsar system

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.

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: N.M.J. Woodhouse
Publisher: Springer Science & Business Media
ISBN: 1846284872
Release Date: 2007-03-06
Genre: Science

Based on a course taught for years at Oxford, this book offers a concise exposition of the central ideas of general relativity. The focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. Includes links to recent developments, including theoretical work and observational evidence, to encourage further study.

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.

The Kal m Cosmological Argument A Reassessment

Author: Jacobus Erasmus
Publisher: Springer
ISBN: 9783319734385
Release Date: 2018-01-08
Genre: Philosophy

This book offers a discussion of the kalām cosmological argument, and presents a defence of a version of that argument after critically evaluating three of the most important versions of the argument. It argues that, since the versions of the kalām cosmological argument defended by Philoponus (c. 490–c. 570), al-Ghazālī (1058– 1111), and the contemporary philosopher, William Lane Craig, all deny the possibility of the existence of an actual infinite, these arguments are incompatible with Platonism and the view that God foreknows an endless future. This conclusion, however, is not a problem for the proponents of the kalām cosmological argument, for the book shows how the argument can be defended without denying the possibility of the actual infinite. In order to offer a comprehensive analysis of Philoponus and al-Ghazālī’s cosmological arguments, the book draws on recent English translations of some of their works. Next, the book advances a detailed argument against the popular argument based on the impossibility of an actual infinite. Finally, the book offers a unique defence of the kalām cosmological argument by defending philosophical arguments for a beginning of time that do not deny the actual infinite, evaluating which hypothesis best explains the discoveries of modern cosmology, and offering an argument in support of the premise that, if the universe came into existence, then God brought it into existence.

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. --