300 Problems in Special and General Relativity

300 Problems in Special and General Relativity

Author: Mattias Blennow

Publisher: Cambridge University Press

Published: 2021-12-09

Total Pages: 366

ISBN-13: 100903765X

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Einstein's theories of special relativity and general relativity form a core part of today's undergraduate (or Masters-level) physics curriculum. This is a supplementary problem book or student's manual, consisting of 150 problems in each of special and general relativity. The problems, which have been developed, tested and refined by the authors over the past two decades, are a mixture of short-form and multi-part extended problems, with hints provided where appropriate. Complete solutions are elaborated for every problem, in a different section of the book; some solutions include brief discussions on their physical or historical significance. Designed as a companion text to complement a main relativity textbook, it does not assume access to any specific textbook. This is a helpful resource for advanced students, for self-study, a source of problems for university teaching assistants, or as inspiration for instructors and examiners constructing problems for their lectures, homework or exams.


300 Problems in Special and General Relativity

300 Problems in Special and General Relativity

Author: Mattias Blennow

Publisher: Cambridge University Press

Published: 2021-12-09

Total Pages: 365

ISBN-13: 1316510670

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A textbook-neutral problems-and-solutions book that complements any relativity textbook at advanced undergraduate or masters level.


An Introduction to General Relativity

An Introduction to General Relativity

Author: L. P. Hughston

Publisher: Cambridge University Press

Published: 1990

Total Pages: 196

ISBN-13: 9780521339438

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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.


Spacetime and Geometry

Spacetime and Geometry

Author: Sean M. Carroll

Publisher: Cambridge University Press

Published: 2019-08-08

Total Pages: 529

ISBN-13: 1108488390

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An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.


Problem Book in Relativity and Gravitation

Problem Book in Relativity and Gravitation

Author: Alan P. Lightman

Publisher: Princeton University Press

Published: 1975-12-21

Total Pages: 616

ISBN-13: 069108162X

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The authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism.


A Student's Guide to Special Relativity

A Student's Guide to Special Relativity

Author: Norman Gray

Publisher: Cambridge University Press

Published: 2022-02-03

Total Pages: 232

ISBN-13: 1009003119

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This compact yet informative Guide presents an accessible route through Special Relativity, taking a modern axiomatic and geometrical approach. It begins by explaining key concepts and introducing Einstein's postulates. The consequences of the postulates – length contraction and time dilation – are unravelled qualitatively and then quantitatively. These strands are then tied together using the mathematical framework of the Lorentz transformation, before applying these ideas to kinematics and dynamics. This volume demonstrates the essential simplicity of the core ideas of Special Relativity, while acknowledging the challenges of developing new intuitions and dealing with the apparent paradoxes that arise. A valuable supplementary resource for intermediate undergraduates, as well as independent learners with some technical background, the Guide includes numerous exercises with hints and notes provided online. It lays the foundations for further study in General Relativity, which is introduced briefly in an appendix.


Gravity

Gravity

Author: James B. Hartle

Publisher: Cambridge University Press

Published: 2021-06-24

Total Pages: 605

ISBN-13: 1316517543

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Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications.


A Student's Guide to General Relativity

A Student's Guide to General Relativity

Author: Norman Gray

Publisher: Cambridge University Press

Published: 2019-01-03

Total Pages: 165

ISBN-13: 1107183464

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Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations


Special Relativity

Special Relativity

Author: Michael Tsamparlis

Publisher: Springer Science & Business Media

Published: 2010-05-17

Total Pages: 605

ISBN-13: 3642038379

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Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.