Exploring Black Holes: Introduction to General Relativity

Exploring Black Holes: Introduction to General Relativity PDF Download Ebook. Edwin F. Taylor and John Archibald Wheeler offer concise, introductory overview of general relativity and black holes, motivating students to become active participants in carrying out their own investigations. To this end, the book uses calculus and algebra, rather than tensors, to make general relativity accessible to sophomores and juniors.

Five chapters introduce basic concepts, and seven projects require the reader to apply these basic concepts to real astronomical applications. A concise, direct examination of general relativity and black holes, this text provides tools that motivate tools that motivate readers to become active participants in carrying out their own investigations about curved spacetime near earth and black holes.

The authors use calculus and algebra to make general relativity accessible, and use quotes from well-known personalities, including Einstein, to offer further insight. Five chapters introduce basic theory. The book also includes seven projects regarding the analysis of major applications. Discussions provide the background needed to carry out projects. The book's projects guide readers as they fill in steps, compute outcomes and carry out their own investigations.

The black and white text is replete with sample problems, well-drawn and amply captioned figures, and a good collection of end-of-chapter exercises. One idiosyncrasy that several students found annoying is that each chapter and project has its pages independently numbered. Because the chapters are identified by numbers and the projects are identified by capital letters, it is not always clear which way to turn when searching for a particular passage.

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Relativity, Gravitation and Cosmology by Robert Lambourne

Relativity, Gravitation and Cosmology PDF Download Ebook. Robert J. A. Lambourne covers the key ideas of special and general relativity together with their applications. 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 space-times.

The textbook is in full colour, with numerous worked examples and exercises with solutions. Key points and equations are highlighted for easy identification, and each chapter ends with a summary list of important concepts and results. This textbook provides the essential background for an up-to-date discussion of modern observational cosmology.

Each chapter builds on the previous one as concepts are developed, making it ideal for self-study. The author has done a great job of producing a text suitable for upper level undergrads and even first year graduate students. The graphics are very good and I particularly appreciate the concise chapter summaries and the exercises with solutions. Students will love this text. I will definitely use it in my upper division classes.

The presentation of special and general relativity is remarkably clear, with explicit derivations and explanations accompanied by useful and relevant exercises. This text strikes a nice balance between theory and applications and does a commendable job of bringing undergraduates up to speed on a challenging topic. I highly recommend it for a first undergraduate course in general relativity.

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Spacetime and Geometry: An Introduction to General Relativity

Spacetime and Geometry: An Introduction to General Relativity PDF Download Ebook. Sean Carroll provides a lucid and thoroughly modern introduction to general relativity. With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject.

Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. For advanced undergraduates and graduate students, or anyone interested in astronomy, cosmology, physics, or general relativity.

This book’s purpose is more to review the basics and and introduce some notation, rather than to provide a self-contained introduction. Beyond that, some exposure to electromagnetism, Lagrangian mechanics, and linear algebra might be useful, but the essentials are included here.

The structure of the book should be clear. The first chapter is a review of special relativity and basic tensor algebra, including a brief discussion of classical field theory. The next two chapters introduce manifolds and curvature in some detail; some motivational physics is included, but building a mathematical framework is the primary goal. General relativity proper is introduced in Chapter Four, along with some discussion of alternative theories.

The next four chapters discuss the three major applications of GR: black holes (two chapters), perturbation theory and gravitational waves, and cosmology. Each of these subjects has witnessed an explosion of research in recent years, so the discussions here will be necessarily introductory, but I have tried to emphasize issues of relevance to current work. These three applications can be covered in any order, although there are interdependencies highlighted in the text. Discussions of experimental tests are sprinkled through these chapters.

Chapter Nine is a brief introduction to quantum field theory in curved spacetime; this is not a necessary part of a first look at GR, but has become increasingly important to work in quantum gravity and cosmology, and therefore deserves some mention. On the other hand, a few topics are scandalously neglected; the initial value problem and cosmological perturbation theory come to mind, but there are others. Fortunately there is no shortage of other resources.

The appendices serve various purposes: there are discussions of technical points which were avoided in the body of the book, crucial concepts which could have been put in various different places, and extra topics which are useful but outside the main development.

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A First Course in General Relativity 2e, Bernard Schutz

A First Course in General Relativity 2nd Edition PDF Download Ebook. Bernard Schutz offers 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. This text retains all of the original's clarity and insight into the mathematical foundations of general relativity, but thoroughly updates the accounts of the application of the theory in astrophysics and cosmology, which have moved on considerably.

The result is an indispensable volume for anyone wishing to develop a deep and physically well-motivated understanding of relativistic gravitation, and this new edition will no doubt become a classic text in its own right. This text will be appreciated by any upper level undergraduate with an interest in cosmology, astrophysics, or experimentation in gravitational physics.

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Relativity Visualized by Lewis Carroll Epstein

Relativity Visualized PDF Download Ebook. Lewis Carroll Epstein makes relativity so simple that a child can understand it. By replacing equations with diagrams, the book allows non-specialist readers to fully understand the concepts in relativity without the slow, painful progress so often associated with a complicated scientific subject. It allows readers not only to know how relativity works, but also to intuitively understand it.

This short book is filled with diagrams and illustrations, as the Visualized in its name would imply. There’s a full thousand-fold greater evolutionary lineage in our visual hardware than in our symbolic hardware. The take home message is “Pictures are usually better than equations.”

Now, the great number of visualizations is very useful for conveying ideas and developing intuition, but it does not qualify as mathematical proofs that would enshrine the logical foundations of relativity theory. But that’s fine; Epstein didn’t set out to write a relativity textbook. Instead, this is like a relativity (both special and general) intuition primer and is quite useful in that regard. The usual stumbling blocks people (like me!) run into are addressed, so he clearly knows his audience.

One downside I’ll point out is the sometimes baffling ordering of the figures. I’ll turn the page and have no idea where I’m supposed to be looking first. Even with the order discerned and the figures examined, relativity remains a non-intuitive topic for the upstart student and so repeat readings will almost certainly be required.

Another unique feature of Relativity Visualized are the arts and crafts he urges you to do, such as making space time diagrams on cones to show where gravity comes from. Even if you don’t perform them yourself, the illustrations do a pretty good job of showing what it would look like if you did. I can imagine a future where I’m trying to explain relativity to someone, and falling back on these suggestions to illustrate point.

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A General Relativity Workbook by Thomas A. Moore

A General Relativity Workbook PDF Download Ebook. Thomas A. Moore enables students to develop a solid mastery of both the physics and the supporting tensor calculus by guiding them to work through the implications. The mathematics is introduced gradually and in a completely physical context.

Each chapter, which is designed to correspond to one class session, involves a short overview of the concepts without obscuring derivations or details, followed by a series of boxes that guide students through the process of working things out. This active-learning approach enables students to develop a more secure mastery of the material than more traditional approaches.

This workbook makes General Relativity accessible to undergraduates who have seen little or none of the underlying mathematical framework. This is achieved not by watering down the contents, but rather by systematically guiding readers to work everything out themselves until they own the concepts and the mathematical techniques. It is indeed a workbook, which I trust will be a great success.

More than 350 homework problems support further learning. It is recommended textbook intended to support a one-semester undergraduate course on general relativity. With its clean organization, its direct and clear prose, and especially its pedagogically effective workbook format, this guide may quickly become the new standard for upper division undergraduate courses in General Relativity.

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