The Mathematical Theory of Black Holes (Oxford Classic Texts in the Physical Sciences) by the late S. Chandrasekhar (PDF)

Description

This volume has become one of the modern classics of relativity theory. When it was written in 1983 there was little physical evidence for the existence of black holes. Recent discoveries have only served to underscore the elegant theory developed here, and the book remains one of the clearest statements of the relevant mathematics.

User’s Reviews

Editorial Reviews: Review “There is no doubt in my mind that this book is a masterpiece. . .beautifully written and well-presented.” –Roger Penrose in Nature About the Author S. Chandrasekhar is at University of Chicago.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The author largely uses the tetrad or vierbein approach in general relativity so familiarity with the basic theory is assumed (Weinberg’s text is a good introduction here) as is knowledge of differential forms. As other reviewers have noted the presentation is mathematically deep and rigorous, not a casual dabbling. This text contains the only mathematically rigorous derivation of the Kerr metric. Until Chandrasekhar’s work this was assumed via intuitive or plausibility arguments. Even derivations on the web use simplifying assumptions. This text is worth having for this reason alone (historical). It remains unparalleled in depth and breadth.

⭐For anybody who is studying general relativity at a graduate level or higher, this is a fantastic book. Explains very clearly the mathematics behind the theory and its prediction of the very exotic black holes.

⭐Excellent monograph – it must be read book by allresearchers working on physics of black holes.

⭐”The black holes of nature are the most perfect macroscopic objects there are in the universe: the only elements in their construction are our concepts of space and time. And since the general theory of relativity provides only a single unique family of solutions for their descriptions, they are the simplest objects as well.” Well, yes, but somehow these simple object have given rise here to over 3500 numbered equations, one of which occupies nearly two pages. Deriving the unique family of equations for the rotating black hole is not easy, and then there are the questions of the scattering of electromagnetic waves, particles, or gravitational waves by black holes. At the end of a hundred-page chapter on the gravitational perterbations of a Kerr black hole, with 533 numbered equations, we find the note, “Every effort has been taken to present the mathematical developments in this chapter in a comprehensible logical sequence. But the nature of the developments simply does not allow a presentation that can be followed in detail with modest effort: the reductions that are necessary to go from one step to another are often very elaborate and, on occasion, may require as many as ten, twenty, or even fifty pages. . . . The author’s derivations (in some 600 legal-size pages and six additional notebooks), have been deposited . . . .” Not for the faint-hearted.

⭐First of all let me say that this book is a member of the hypersonic suppository school of presentation. I wish those that attempt to learn the tetrad and Newman-Penrose methods from this book only good luck. That said, this book contains the most extensive treatment of black holes I have seen anywhere. Period. The section in this book on Kerr black holes inspired me to seek and find a physically meaningful interior solution for the Kerr black hole. I have to admit it: the tetrad and Newman-Penrose treatments inspired me to master these techniques. In the long run that is what this book has done – inspired me. Anything by S. Chandrasekhar does that to me.

⭐This is the only book I found which gave a detailed derivation of some of the most important solutions to Einstein’s equations concerning black holes. Lots of other properties of different types of black holes are covered in this book in great rigour. Undoubtedly a bible for research students in General Relativity!

⭐A classic textbook to be owned by every relativist…

⭐Pour celui qui n’a pas peur des mathématiques : tous les calculs sont faits de A à Z… un ouvrage de référence pour l’astrophysicien.

⭐

⭐はじめてこの本を開いたときは、正直ぞっとした。あまりに記述が細かいからだった。しかし、裏を返せばとても詳しくかいてあるということである。表記自体は、テンソルが分かっていれば読めると思う。また、Kerrメトリックの導出法がのっており、少し見にくい感じもするが、この詳しさは他の本の比類をみない。かなり、貴重な文献ではないだろうか。ブラックホールをやろうと思っている人はもちろん、一般相対論をやる人には必須のアイテムではないかと思う。

⭐

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