A Student s Manual for A First Course in General Relativity

A Student s Manual for A First Course in General Relativity Author Robert B. Scott
ISBN-10 9781316445143
Release 2016-01-21
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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 General Relativity

A First Course in General Relativity Author Bernard Schutz
ISBN-10 9780521887052
Release 2009-05-14
Pages 393
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Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.

A Short Course in General Relativity

A Short Course in General Relativity Author James Foster
ISBN-10 9781475738414
Release 2013-03-14
Pages 250
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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.

Gravity from the Ground Up

Gravity from the Ground Up Author Bernard Schutz
ISBN-10 0521455065
Release 2003-12-04
Pages 462
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An accessible introduction to astronomy and general relativity, requiring only high-school level mathematics.

Geometrical Methods of Mathematical Physics

Geometrical Methods of Mathematical Physics Author Bernard F. Schutz
ISBN-10 0521298873
Release 1980-01-28
Pages 250
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For physicists and applied mathematicians working in the fields of relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This book provides an introduction to the concepts and techniques of modern differential theory, particularly Lie groups, Lie forms and differential forms.

Gravitation and Spacetime

Gravitation and Spacetime Author Hans C. Ohanian
ISBN-10 9781107012943
Release 2013-04-08
Pages 528
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This text provides a quantitative introduction to general relativity for advanced undergraduate and graduate students.


Gravity Author Eric Poisson
ISBN-10 9781107032866
Release 2014-05-29
Pages 792
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A unique graduate textbook that develops powerful approximation methods and their applications to real-life astrophysical systems.

Numerical Relativity

Numerical Relativity Author Thomas W. Baumgarte
ISBN-10 9780521514071
Release 2010-06-24
Pages 698
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Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.

Introduction to General Relativity Black Holes and Cosmology

Introduction to General Relativity  Black Holes  and Cosmology Author Yvonne Choquet-Bruhat
ISBN-10 9780199666454
Release 2015-01-20
Pages 279
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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.

A First Course in Loop Quantum Gravity

A First Course in Loop Quantum Gravity Author Rodolfo Gambini
ISBN-10 9780199590759
Release 2011-09-22
Pages 183
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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.

A First Course in String Theory

A First Course in String Theory Author Barton Zwiebach
ISBN-10 9780521880329
Release 2009-01-22
Pages 673
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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.

Fundamentals of Cosmology

Fundamentals of Cosmology Author James Rich
ISBN-10 3540413502
Release 2001-01-01
Pages 302
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The book is aimed at physics students and professional physicists who wish to understand the basics of cosmology and general relativity as well as the most recent cosmological observations and models. It presents a self-contained introduction to general relativity that is based on the homogeneity and isotropy of the local universe. The simplicity of this space allows general relativity to be introduced in a very simple manner while laying the foundation for the treatment of more complicated problems. The latest cosmological observations and theories are discussed. Emphasis is placed on estimations of the densities of matter and of vacuum energy, and on investigations of the primordial density fluctuations and the nature of dark matter.

General Relativity

General Relativity Author M. P. Hobson
ISBN-10 0521829518
Release 2006-02-02
Pages 572
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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.

Relativity Made Relatively Easy

Relativity Made Relatively Easy Author Andrew M. Steane
ISBN-10 9780191650420
Release 2012-10-04
Pages 448
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Relativity Made Relatively Easy presents an extensive study of Special Relativity and a gentle (but exact) introduction to General Relativity for undergraduate students of physics. Assuming almost no prior knowledge, it allows the student to handle all the Relativity needed for a university course, with explanations as simple, thorough, and engaging as possible. The aim is to make manageable what would otherwise be regarded as hard; to make derivations as simple as possible and physical ideas as transparent as possible. Lorentz invariants and four-vectors are introduced early on, but tensor notation is postponed until needed. In addition to the more basic ideas such as Doppler effect and collisions, the text introduces more advanced material such as radiation from accelerating charges, Lagrangian methods, the stress-energy tensor, and introductory General Relativity, including Gaussian curvature, the Schwarzschild solution, gravitational lensing, and black holes. A second volume will extend the treatment of General Relativity somewhat more thoroughly, and also introduce Cosmology, spinors, and some field theory.

A Student s Guide to Einstein s Major Papers

A Student s Guide to Einstein s Major Papers Author Robert E Kennedy
ISBN-10 9780199694037
Release 2012-01-19
Pages 303
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In 1905 Albert Einstein produced breakthrough work in three major areas of physics (atoms and Brownian motion, quanta, and the special theory of relativity), followed, in 1916, by the general theory of relativity. This book develops the detail of the papers, including the mathematics, to guide the reader in working through them.

A General Relativity Workbook

A General Relativity Workbook Author Thomas A. Moore
ISBN-10 1320894399
Release 2015-03-06
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A General Relativity Workbook has been writing in one form or another for most of life. You can find so many inspiration from A General Relativity Workbook also informative, and entertaining. Click DOWNLOAD or Read Online button to get full A General Relativity Workbook book for free.

Introduction to General Relativity

Introduction to General Relativity Author John Dirk Walecka
ISBN-10 9789812705846
Release 2007
Pages 342
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A working knowledge of Einstein's theory of general relativity is an essential tool for every physicist today. This self-contained book is an introductory text on the subject aimed at first-year graduate students, or advanced undergraduates, in physics that assumes only a basic understanding of classical Lagrangian mechanics. 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. After reviewing special relativity, the basic principles of general relativity are presented, and the most important applications are discussed. The final special topics section guides the reader through a few important areas of current research.This book 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.