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Introduction to general relativity and cosmology. (English) Zbl 1419.83001

Essential Textbooks in Physics. Hackensack, NJ: World Scientific (ISBN 978-1-78634-117-4/hbk; 978-1-78634-118-1/pbk). xvi, 270 p. (2017).
The book gives a clear and precise introduction into general relativity and cosmology. The first chapter is a brief introduction to differential geometry (not as deep and mathematical as for instance in R. M. Wald’s book [General relativity. Chicago-London: The University of Chicago Press (1984; Zbl 0549.53001)], but everything is always well-motivated). Then Einstein’s field equations are derived and discussed. Another chapter deals with the Schwarzschild solution and the classical tests for general relativity. Finally, the last chapter discusses cosmology.
Most topics are not discussed very deeply, after all this book is meant to be an introduction into the field, but all topics are introduced very clearly and well motivated. The author writes in a light tone and conveys the beauty of the theory. All chapters end with recommendations for further reading and a good selection of exercises. A very big advantage of this book is that all exercises are solved in detail (taking up almost 60 pages of the book).

MSC:

83-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to relativity and gravitational theory
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83F05 Relativistic cosmology
85A40 Astrophysical cosmology
53Z05 Applications of differential geometry to physics
83C57 Black holes

Citations:

Zbl 0549.53001
Full Text: DOI