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アカデ1377 一般相対性理論と宇宙論入…「海外手配」
開催期間:2024/11/25~2025/03/31
著者:Krasinski, Andrzej/Plebanski, Jerzy
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Experts Plebański and Krasiński provide a thorough introduction to the tools of general relativity and relativistic cosmology. Assuming familiarity with advanced calculus, classical mechanics, electrodynamics and special relativity, the text begins with a short course on differential geometry, taking a unique top-down approach. Starting with general manifolds on which only tensors are defined, the covariant derivative and affine connection are introduced before moving on to geodesics and curvature. Only then is the metric tensor and the (pseudo)-Riemannian geometry introduced, specialising the general results to this case. The main text describes relativity as a physical theory, with applications to astrophysics and cosmology. It takes the reader beyond traditional courses on relativity through in-depth descriptions of inhomogeneous cosmological models and the Kerr metric. Emphasis is given to complete and clear derivations of the results, enabling readers to access research articles published in relativity journals. ・This second edition improves the presentation in several chapters; chapters on relativistic cosmology contain new results and there is a new chapter on relativistic effects in the Global Positioning System ・It contains more detailed discussions than other textbooks of several topics, including the Lie derivative, Killing vectors, Petrov classes, inhomogeneous cosmological models (via the Lemaître–Tolman and Szekeres metrics) and the Kerr metric ・Every chapter includes a series of exercises, the more difficult of which include hints for their solution
商品コード:1037354285
出版社: Cambridge University Press
出版年月:
2024/06
ISBN-10: 100941562X
ISBN-13: 978-1-00-941562-0
出版国: イギリス
装丁: hardcover/Geb./rel.
媒体: 冊子
ページ数: 578 p., 1 illus.
ジャンル: 宇宙論