Physical foundations of cosmology. With a foreword by Andrei Linde.

*(English)*Zbl 1095.83002
Cambridge: Cambridge University Press (ISBN 0-521-56398-4/hbk). xix, 421 p. (2005).

This book, first published in 2005, represents mainly the development of cosmology in the seventies and eighties of the 20th century. This becomes also obvious from the list of circa 120 references: only 10 of them appeared 1990 or later, 30 of them appeared between 1980 and 1989, and the other 80 references are from before 1980. So, to get up-to-date knowledge about physical cosmology, one has to consult other literature, but if one wants to understand the physics behind the cosmological observations, the present monograph is a very useful source, as it very carefully explains the notions, and gives nice and understandable deductions for many of the formulas.

In his 3-pages forword, Andrei Linde says what he thinks is the influence of Mukhanov’s work on the development of the field: the calculation of the quantum perturbations which yield the large-scale structure of the Universe.

The detailed contents is as follows: Part I. Homogeneous Isotropic Universe: 1. Kinematics and dynamics of an expanding universe; 2. Propagation of light and horizons; 3. The hot universe; 4. The very early universe; 5. Inflation I: homogeneous limit; Part II. Inhomogeneous Universe: 6. Gravitational instability in Newtonian theory; 7. Gravitational instability in general relativity; 8. Inflation II: origin of the primordial inhomogeneities; 9. Cosmic microwave background anisotropies; Bibliography and Index.

In his 3-pages forword, Andrei Linde says what he thinks is the influence of Mukhanov’s work on the development of the field: the calculation of the quantum perturbations which yield the large-scale structure of the Universe.

The detailed contents is as follows: Part I. Homogeneous Isotropic Universe: 1. Kinematics and dynamics of an expanding universe; 2. Propagation of light and horizons; 3. The hot universe; 4. The very early universe; 5. Inflation I: homogeneous limit; Part II. Inhomogeneous Universe: 6. Gravitational instability in Newtonian theory; 7. Gravitational instability in general relativity; 8. Inflation II: origin of the primordial inhomogeneities; 9. Cosmic microwave background anisotropies; Bibliography and Index.

Reviewer: Hans-Jürgen Schmidt (Potsdam)

##### MSC:

83-02 | Research exposition (monographs, survey articles) pertaining to relativity and gravitational theory |

83F05 | Cosmology |

81V25 | Other elementary particle theory in quantum theory |

85A40 | Cosmology |

83C35 | Gravitational waves |

83C25 | Approximation procedures, weak fields in general relativity and gravitational theory |

83C75 | Space-time singularities, cosmic censorship, etc. |

83C45 | Quantization of the gravitational field |