Exact Solutions of Einstein’s Field Equations (Cambridge Monographs on Mathematical Physics) 2nd Edition by Hans Stephani (PDF)

Description

A completely revised and updated edition of this classic text, covering important new methods and many recently discovered solutions. This edition contains new chapters on generation methods and their application, classification of metrics by invariants, and treatments of homothetic motions and methods from dynamical systems theory. It also includes colliding waves, inhomogeneous cosmological solutions, and spacetimes containing special subspaces.

User’s Reviews

Editorial Reviews: Review “This is clearly a most valuable reference book. It comprehensively reviews known local solutions of Einstein’s equation and provides a secure base for future research.” Mathematical Reviews Book Description A paperback edition of a classic text for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics. About the Author Hans Stephani gained his diploma, Ph.D. and Habilitation at the Friedrich-Schiller-Universität Jena. He became Professor of Theoretical Physics in 1992, before retiring in 2000. He has been lecturing in theoretical physics since 1964 and has published numerous papers and articles on relativity and optics. He is also the author of four books.Dietrich Kramer is Professor of Theoretical Physics at the Friedrich-Schiller-Universität Jena. He graduated from this university, where he also finished his Ph.D. (1966) and Habilitation (1970). His current research concerns classical relativity. The majority of his publications are devoted to exact solutions in general relativity.Malcolm MacCallum is Professor of Applied Mathematics at the School of Mathematical Sciences, Queen Mary, University of London, where he is also Vice-Principal for Science and Engineering. He graduated from King’s College, Cambridge and went on to complete his M.A. and Ph.D. there. His research covers general relativity and computer algebra, especially tensor manipulators and differential equations. He has published over 100 pages, review articles and books.Cornelius Hoenselaers gained his Diploma at Technische Universität Karlsruhe, his D.Sc. at Hiroshima Daigaku and his Habilitation at Ludwig-Maximilian Universität München. He is Reader in Relativity Theory at Loughborough University. He has specialized in exact solutions in general relativity and other non-linear partial differential equations, and published a large number of papers, review articles and books.Eduard Herlt is wissenschaftlicher Mitarbeiter at the Theoretisch Physikalisches Institut der Friedrich-Schiller-Universität Jena. Having studied physics as an undergraduate at Jena, he went on to complete his Ph.D. there as well as his Habilitation. He has had numerous publications including one previous book. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I’m playing with a model, a toy, that relates the strange shapes of Schroedinger’s atom to distortions in spacetime by charge rather than mass. I need to learn general relativity to look at it from the other point of view. My tensor analysis is a little rusty, but I find the presentation clear and effective. The book is huge, however, and a little like taking a drink out of a fire hose.

⭐I have the equivalent of a master degree in physics/applied mathematics, am currently retired, doing independent research on gravity and cosmology. What I like about this book is the print is legible and the content rigorous. What I don’t like is the approach, notation and organization. I had wanted a quick and handy reference book, like a huge integral table, where the energy-momentum tensor T was displayed alongside the metrics that solve it, in the standard notation of theoretical physics. Instead, it appears I have to read the whole of Part I to understand a single entry. The notation is obscure, based on manifolds and pure math concepts, none of which is necessary for a bare bones table of solutions. Even the Schwarzschild solution is undecipherable at a glance. The book is useless for my purposes.

⭐THIS BOOK IS A BAIS FOR THE STUDY OF GENERAL RELATIVITY, BOTH FROM THE POINT OF UNDERGRADUATE STUDY, TO A BASIS FOR FUNDAMENAL RESEARCH.

⭐Me ha gustado mucho el libro.過去に発見されたEinstein方程式の解を網羅的に取り扱っている，おそらく世界でも唯一の書．解の性質に注目して分類されており，またその解の導出に関しても用いる方法の説明がされている．約700ページの本であるが，そのうちReferenceだけで70ページ近くある．なお1st Editionと比較して2nd Editionは倍近い厚みとなっている．

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