BOOK REVIEW: The Physics of the Early Universe

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The physics of the very small and the very large were successfully brought together in the 1980s through the idea of 'the universe as a particle accelerator'. The manifesto of this new campaign was laid out in the book 'The Early Universe' by Kolb and Turner in 1990. For at least the next decade that book was to be found on the shelves of every theorist (and many experimentalists) who professed an interest in this topic. But science marches on, and the last 10 15 years has seen an explosion in our understanding of the physics of the very earliest times and the very largest scales. Experimentally our world-view has changed utterly, through exquisitely precise measurements of the cosmic microwave background, galaxy clustering and supernova distances, with a refinement of the basic inflationary big bang paradigm into the new 'standard cosmological model'. And in tandem with these changes has been the development of new theoretical ideas, particularly involving dark energy and connections between string/brane theory and cosmology.
So what is the new book for the shelves of today's cohort of young Rockys and Mikes? Despite a recent number of promising-sounding cosmology books, there is nothing at the advanced level which is broad enough to be a general introduction to the 'early universe' topic.
Perhaps the best of the bunch is 'The Physics of the Early Universe', edited by E Papantonopoulos as part of Springer's series 'Lecture notes in physics'. This is a set of 9 review articles given as part of a 2003 summer school on Syros Island, Greece. Although far from perfect, the core of this book provides a solid introduction to current research in early universe physics, which should be useful for PhD students or postdoctoral researchers who want the real thing.
The book starts with a competent introduction by Kyriakos Tamvakis, serving essentially as a summary of where we were in Kolb and Turner's text. We have learned since then, however, that inflation is really all about perturbations, and so we get a summary of cosmological perturbation theory by Ruth Durrer—more background and physical explanations would have been helpful, but this is a nice compact summary. The cosmic microwave background has been the cornerstone for making experimental progress, and we get an excellent overview from Anthony Challinor—although again there are several sections where more explanation would have been useful for the novice. Next comes a broad survey of other aspects of observational cosmology by Robert Sanders, which is clear and succinct. The only slight blemishes are caused by the author desperately seeking discord, and only apparently finding it in places where it isn't made clear that his views are unconventional. Dark energy, i.e. the generalization of the cosmological constant to a dynamic fluid, is a huge area of current theoretical study, where one can uncharitably say that there are no well-motivated theories! It is therefore crucial to have the views of a clear-thinking expert to help us navigate this topic, and Varun Sahni does an excellent job here.
We then find ourselves in the territory of string and brane cosmology, where there are 2 reviews, presented in the wrong order. Roy Maartens (whose article comes second) does a reasonable job of building on the ideas of inflation and cosmological perturbations to describe brane-world views of the early universe, perhaps just becoming slightly too heavy on technical detail and light on physical discussion in the middle part. But the string cosmology review by André Lukas (which comes first), is unfortunately nothing like an introduction to that topic, since much of the jargon and even some of the symbols will be quite unfamiliar to anyone who hasn't already taken graduate level courses on string theory.
The book ends with 2 competent (and fairly short) summaries relevant to gravitational wave astronomy, which are really quite unconnected with the main topic of the book—it would have been more useful to have focussed on gravity waves from the cosmological perspective, rather than discussing neutron stars and black holes.
This, then, is a useful book for someone wanting to leap right into modern theoretical ideas of early universe physics. Since it is a summer school proceedings, rather than explicitly a textbook, it suffers from a lack of coherence, and some more discursive text would also have been helpful. But despite these flaws, it is still a book to be recommended as a concise but technical introduction to this rapidly changing topic.

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