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Exploring Black Holes: Introduction to General Relativity (2nd Edition) By Edwin F. Taylor, John Archibald Wheeler, Edmund Bertschinger

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Sales Rank: #1198776 in Books
Published on: 2016-11-09
Original language: English
Dimensions: .39" h x .39" w x .39" l, .0 pounds
Binding: Hardcover
400 pages

Review

American Journal of Physics, Vol. 69, No. 11, pp. 1212-1213, November 2001

(c)2001 American Association of Physics Teachers. All rights reserved.

Most students embarking on a major in physics probably anticipate that they will have the opportunity to elect one or more semesters of study in relativity, and many students majoring in mathematics and computer science also have a strong interest in the subject. Among the introductory texts on special relativity, Taylor and Wheeler's Spacetime Physics (SP), with its conversational tone and its emphasis on geometry, has long played an important role. However, there have been few if any books on general relativity that have managed to be both scholarly and truly introductory. Exploring Black Holes: Introduction to General Relativity (EBH) is just such a book. Through carefully chosen restrictions on coverage, the authors enable the serious study of general relativity by students who have completed a year of calculus and who are prepared for intellectual labor.

The book has been years in the making; there were several self-published preliminary versions. Thomas Roman of Central Connecticut State University provided a post-use review of the 1995 version (Scouting Black Holes: Exploring General Relativity with Calculus) in this journal [63, 1053-1054 (1995)]. EBH retains the basic structure of that earlier version, but the authors have made many improvements, additions, and corrections. The process of refinement continues: I am informed that Edwin Taylor uses each new printing of the text to correct errors and polish explanations.

I used EBH in a course entitled "Topics in Physics: Relativity" at James Madison University during the Fall 2000 semester; the prerequisites were one year each of physics and calculus. Fourteen students enrolled for the course, and twelve completed it (six seniors, three juniors, and three sophomores). All had encountered special relativity in the introductory physics survey, and the upper-division physics majors had also spent a couple of weeks studying special relativity in a one-semester modern physics course.

EBH was one of three required texts, the other two being SP and Kip Thorne's Black Holes and Time Warps (a narrative of the development of general relativity as witnessed by one of its foremost practitioners). Approximately half of the semester was devoted to a thorough discussion of special relativity using SP. The first few chapters of Thorne's book were
also assigned in the first half of the semester, both to lighten the reading load during the second half and to accustom students to Einstein's geometrical vision of gravitation.

During the eight weeks devoted to general relativity, the class managed to cover all five chapters of EBH (Speeding, Curving, Plunging, Orbiting, and Seeing) and four of the seven "projects." Students found the project on the Global Positioning System (GPS) fascinating, both because several of them had used GPS devices and because general-relativistic effects must be included in the analysis in order to for the GPS system to be accurate enough to be useful.

Almost without exception, the students rated EBH as very clear and interestingly written. Their previous contact with GR (if any) was of the "gee-whiz" variety, and they took evident pride in being able to grapple with some of the intellectual challenges of the theory. The authors are careful to acknowledge the limitations of a treatment in which the mathematical apparatus is limited to a year of calculus, but the students and I were pleased at how much can be accomplished. Our experience suggests that any physics professor who is prepared to make the effort can provide a worthy undergraduate introduction to GR, with the help of Taylor and Wheeler. My only prior experience with general relativity was a two-semester sequence (based on Weinberg's Gravitation and Cosmology) taken as a graduate student many years ago.

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.

Using EBH may also require an adjustment by those physics students and teachers who have come to expect that all physics texts should have a high ratio of equations to explanatory sentences. But the prose of this text is rich, sometimes whimsical, and always aimed directly at helping the reader develop an intuition for the physics that lives beneath the mathematical surface.

Spacetime Physics is a jewel of an unconventional book on special relativity. With Exploring Black Holes, Taylor and Wheeler have presented the community of physics learners and teachers with another gem.

VITAE

William H. Ingham is Professor of Physics at James Madison University. His interests include astrophysics, computational fluid dynamics, and thehistory of science.

From the Back Cover

A concise, direct examination of general relativity and black holes, Exploring Black Holes 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. For astronomers, mathematicians and people interested in learning about the relativity of black holes.

About the Author

Edwin F. Taylor is a Senior Research Scientist Emeritus in the Department of Physics at the Massachusetts Institute of Technology. He graduated from Oberlin College and earned a PhD from Harvard University. He has received the Oersted Medal, the highest award of the American Association of Physics Teachers "for notable contributions to the teaching of physics," and was an editor of the American Journal of Physics for six years. Dr. Taylor has written interactive software for physics education, as well as numerous articles, reports, and reviews for both technical and trade publications. His book-authoring career began with Introductory Mechanics (Wiley, 1963); since then, he has written An Introduction to Quantum Physics with A. P. French (Norton, 1978), Spacetime Physics (Freeman, 1992) with John Archibald Wheeler, and the first edition of Exploring Black Holes (Addison-Wesley, 2000), also with Wheeler.

John Archibald Wheeler (born July 9, 1911) is an eminent American theoretical physicist. He received his doctorate from Johns Hopkins University in 1933, and went on to become a professor of physics at Princeton University from 1938-1976, then a professor of physics at the University of Texas at Austin. During his teaching career, he placed a high priority on education and student motivation.

Wheeler made important contributions to theoretical physics. In 1937 he introduced the S-matrix, which became an indispensable tool in particle physics. He was a pioneer in the theory of nuclear fission, along with Niels Bohr and Enrico Fermi. In 1939, he collaborated with Bohr on the liquid drop model of nuclear fission.

During World War II, Wheeler interrupted his academic career to participate in the development of the U.S. nuclear bomb under the Manhattan Project at Hanford, WA, where reactors were constructed to produce plutonium for the bomb which was to be dropped on the Japanese city of Nagasaki. He went on to work on the development of the American hydrogen bomb under Project Matterhorn B.

After concluding his Project Matterhorn work, Wheeler returned to Princeton to resume his academic career, and subsequently worked on extensions to general relativity, geometrodynamics, the theory of gravitational collapse, quantum gravity, and more. Wheeler was awarded the Wolf Prize in Physics in 1997. He maintained an office in Jadwin Hall at Princeton up until 2006.

Edmund Bertschinger is a Professor of Physics and Division Head of Astrophysics at MIT. He is a theoretical astrophysicist whose research interests focus in cosmology and relativistic astrophysics. A native of California, he received his B.S. in physics from Caltech in 1979 and his PhD in Astrophysical Sciences from Princeton University in 1984. Following postdoctoral positions at the University of Virginia and at UC Berkeley, he joined the MIT faculty in 1986, where he rose through the ranks reaching his present position as full professor in 1996.

Professor Bertschinger is passionate about education. He enjoys teaching classical mechanics, electromagnetism, quantum mechanics, relativity, and cosmology. In collaboration with Dr. Edwin Taylor, he introduced an undergraduate class on black holes and astrophysics that is taken by MIT alumni as well as by undergraduates. In 2002 he received the Physics Department's Buechner Teaching Prize for his undergraduate and graduate classes in relativity.

Professor Bertschinger also loves working with students on research in astrophysics, cosmology, and general relativity. His research students at the high school and undergraduate level have won national prizes for their work, including First Prize in the Intel Science Talent Search. His former PhD students now hold faculty positions at Harvard, UC Berkeley, and other fine universities.

As a member of the MIT Kavli Institute for Astrophysics and Space Research, Professor Bertschinger leads a research program studying the mysteries of dark energy and dark matter. He and his research students investigate the formation of cosmic structure after the big bang, the physics of dark matter both in the early universe and in forming galaxies, and the physical processes governing matter and radiation close to black holes.

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