Special relativity in general frames. From particles to astrophysics. Translated from the French by the author.

*(English)*Zbl 1281.83001
Graduate Texts in Physics. Berlin: Springer (ISBN 978-3-642-37275-9/hbk; 978-3-642-37276-6/ebook). xxx, 784 p. (2013).

This is a book wholly to be welcomed. It presents a profound and comprehensive geometrical description of special relativity. This book has a coherence all too often absent from similar books. The book is well produced and an excellent overview and introduction in relativity theory. Web pages up to date, other textbooks and more than 450 references are given. The 22 chapters comprise the mathematical, geometrical, physical and experimental aspects of special relativity. The highlights for me are the chapters: Accelerated observers; Rotating observers or Energy momentum tensor. The author demonstrates his high quality in pedagogical handling complicated and for the beginner difficult physical concepts. The author’s expertise in the technical details and uniquely important insights recommend it for advanced students. The book belongs in any serious research library and would be valuable in any advanced courses in special relativity.

Reviewer: Johannes Viktor Feitzinger (Bochum)

##### MSC:

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

83A05 | Special relativity |

83F05 | Relativistic cosmology |

78A25 | Electromagnetic theory (general) |

78-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to optics and electromagnetic theory |

76E20 | Stability and instability of geophysical and astrophysical flows |

85A04 | General questions in astronomy and astrophysics |

85-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to astronomy and astrophysics |

22E10 | General properties and structure of complex Lie groups |

83C10 | Equations of motion in general relativity and gravitational theory |

83C40 | Gravitational energy and conservation laws; groups of motions |