The two pillars of modern physics are general relativity and quantum field theory, the former describes the large scale structure and dynamics of space-time, the latter, the microscopic constituents of matter. Combining the two yields quantum field theory in curved space-time, which is needed to understand quantum field processes in the early universe and black holes, such as the well-known Hawking effect. This book examines the effects of quantum field processes back-reacting on the background space-time which become important near the Planck time (10-43 sec). It explores the self-consistent description of both space-time and matter via the semiclassical Einstein equation of semiclassical gravity theory, exemplified by the inflationary cosmology, and fluctuations of quantum fields which underpin stochastic gravity, necessary for the description of metric fluctuations (space-time foams). Covering over four decades of thematic development, this book is a valuable resource for researchers interested in quantum field theory, gravitation and cosmology.

'This excellent book is written by two of the best experts in both fields and may be useful for both new researchers and experienced scientists who want to extend or improve their knowledge …the coverage is very extensive and the style is more on the review side … the area of semiclassical gravity is very extensive and, in particular, there are not only different approaches but also different points of view on many particular issues … the book is well written and very informative. As a reader, I have the temptation to stop all other activities and spend some time reading this book further and better learn those topics which I would like to know. And it is certain that many potential readers will find it very useful.'

Ilya Shapiro Source: Mathematical Review Clippings

‘The aim is to help the reader get familiarized with the new topics and techniques through working out some concrete representative problems. The result is a compulsive text quite useful for graduate students and newcomers.’

Farhang Loran Source: zbMATH