an:05309098
Zbl 1147.83002
Weinberg, Steven
Cosmology
EN
Oxford: Oxford University Press (ISBN 978-0-19-852682-7/hbk). xvii, 593~p. (2008).
2008
b
83-01 85-01 83F05 85A40 83C10 85A05 85A25 83C55 83C25 85A35 76P05
homogeneous average universe; gravitational lensing; structure formation; Boltzmann equation
Few months after its appearance, at least five enthusiastic book reviews appeared for this new book by Nobel laureate Steven Weinberg, which has the power to become a classic textbook about cosmology.
If an author writes another book with a quite similar title as the previous one, then usually, there is much overlap between them. This is, however, not the case with the present book, entitled ``Cosmology'', by Steven Weinberg: His previous book, ``Gravitation and Cosmology'', was published in 1972, and now, 36 years later, he wrote a complete new book on Cosmology.
References are given, in an unusual way, as footnotes to the pages where they are mentioned; fortunately, the author index is carefully managed, so one can find the cited literature also this way. A next unusual feature of this book is the publication of an online available list of corrections, see \url{http://zippy.ph.utexas.edu/~weinberg/corrections.html} which today (September 3, 2008) contains already 21 items like ``In footnote 2 on p. 1, `300 light years' should be `300 million light years'. (Thanks to F. Maienschein for this correction.)''
The book is divided into 10 chapters, starting with Chapter 1: The expansion of the universe, Chapter 2: The cosmic microwave background, via inflation, \dots, Chapter 5: General theory of small fluctuations, Chapter 6: Evolution of cosmological fluctuations, growth of structure, then to Chapter 9: Gravitational lenses, which contains also a section about cosmic strings. It mentions a new interpretation of an earlier observation: in 2003, there was found a plausible candidate for lensing by a cosmic string; however, this interpretation had to be abandoned in 2006, so now one has no more any candidate for the existence of a cosmic string.
Every topic is clearly developed on the ground of general relativity theory. The appendices list several useful mathematical background and astrophysical data: Review of General Relativity, Ergodic theorem, Newtonian cosmology, and the relativistic Boltzmann equation. A list of problems, and author and subject index close this really important book.
Hans-J??rgen Schmidt (Potsdam)