A first course in general relativity. 2nd ed.

*(English)*Zbl 1173.53002
Cambridge: Cambridge University Press (ISBN 978-0-521-88705-2/hbk). xv, 393 p. (2009).

This is the second edition of “A first course in general relativity.” Its first edition (1985) was not reviewed, and the comments on the reprint with corrections of this book (1986) can be found in [Cambridge etc.: Cambridge University Press. (1986; Zbl 0604.53029)].

It is a widely used textbook on the theory of general relativity, and it provides the first step into general relativity for undergraduate students with a minimal background in mathematics. It includes 12 chapters, the first eight chapters just have a little change in comparing with its first edition. Recent references for further reading have been included and a few sections have been expanded, they give a solid mathematical foundations needed for understanding the theory of general relativity. But the final four chapters have been updated, expanded and in some cases completely rewritten, they deal with the discussion on gravitational radiation in terms of the direct detection, recent discoveries by astronomers that require general relativity for their explanation, material on real neutron stars which can be seen as pulsars and potential sources of detectable gravitational waves, material about the astrophysical evidence for black holes. Chap.12 on cosmology is completely rewritten. In various chapters more exercises are included, but the exercises solutions are removed from the book, they are available now on the website for the book.

It is a widely used textbook on the theory of general relativity, and it provides the first step into general relativity for undergraduate students with a minimal background in mathematics. It includes 12 chapters, the first eight chapters just have a little change in comparing with its first edition. Recent references for further reading have been included and a few sections have been expanded, they give a solid mathematical foundations needed for understanding the theory of general relativity. But the final four chapters have been updated, expanded and in some cases completely rewritten, they deal with the discussion on gravitational radiation in terms of the direct detection, recent discoveries by astronomers that require general relativity for their explanation, material on real neutron stars which can be seen as pulsars and potential sources of detectable gravitational waves, material about the astrophysical evidence for black holes. Chap.12 on cosmology is completely rewritten. In various chapters more exercises are included, but the exercises solutions are removed from the book, they are available now on the website for the book.

Reviewer: Weihuan Chen (Beijing)

##### MSC:

53-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry |

83-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to relativity and gravitational theory |

53B50 | Applications of local differential geometry to the sciences |

53B30 | Local differential geometry of Lorentz metrics, indefinite metrics |