Exact Solutions of Einstein's Field Equations: List of tables
Exact Solutions of Einstein's Field Equations: List of tables
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DOI：
10.1017/cbo9780511535185
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发表时间：
2003-03
期刊：
影响因子：
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通讯作者：
H. Stephani;D. Kramer;M. MacCallum;C. Hoenselaers;E. Herlt
中科院分区：
文献类型：
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作者：
H. Stephani;D. Kramer;M. MacCallum;C. Hoenselaers;E. Herlt
一个经典文本的平装版，这本书给出了一个独特的调查爱因斯坦的场方程的真空，爱因斯坦，麦克斯韦，纯辐射和完美的流体源的已知解决方案。它介绍了微分几何和黎曼几何的基础，以及用于表征，找到或构造解决方案的方法。然后考虑的解决方案，他们的对称群，他们的代数结构（彼得罗夫型）或其他不变的属性，如特殊的子空间或张量场和嵌入性能排序。包括自第一版以来该领域的所有发展，并包含六个全新的章节，涵盖主题包括生成方法及其应用，碰撞波，不变量的度量分类和位似运动的治疗。这本书是一个重要的资源，为毕业生和研究人员在相对论，理论物理学，天体物理学和数学。它也可以被用作广义相对论的一些数学方面的介绍性文本。
A paperback edition of a classic text, this book gives a unique survey of the known solutions of Einstein's field equations for vacuum, Einstein-Maxwell, pure radiation and perfect fluid sources. It introduces the foundations of differential geometry and Riemannian geometry and the methods used to characterize, find or construct solutions. The solutions are then considered, ordered by their symmetry group, their algebraic structure (Petrov type) or other invariant properties such as special subspaces or tensor fields and embedding properties. Includes all the developments in the field since the first edition and contains six completely new chapters, covering topics including generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics. It can also be used as an introductory text on some mathematical aspects of general relativity.