Formulations of general relativity [electronic resource] : gravity, spinors and differential forms / Kirill Krasnov.
- 作者： Krasnov, Kirill, 1973-
- 其他題名：
- Cambridge monographs on mathematical physics.
- 出版： Cambridge : Cambridge University Press 2020.
- 叢書名： Cambridge monographs on mathematical physics
- 主題： General relativity (Physics)--Mathematics. , Spinor analysis. , General relativity (Physics) , Mathematical physics.
- ISBN： 9781108674652 (electronic bk.) 、 9781108481649 (hardback)
- URL：
電子書(校內)
電子書(校外)
- 一般註：Title from publisher's bibliographic system (viewed on 12 Nov 2020). Aspects of differential geometry -- Metric and related formulations -- Cartan's tetrad formulation -- General relativity in 2+1 dimensions -- The "chiral" formulation of general relativity -- Chiral pure connection formulation -- Deformations of general relativity -- Perturbative descriptions of gravity -- Higher-dimensional descriptions. 113年度臺灣學術電子書暨資料庫聯盟採購
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讀者標籤：
- 系統號： 000312097 | 機讀編目格式
館藏資訊
"This monograph carefully documents the different formulations of Einstein's General Theory of Relativity, and gives valuable insight into the very nature of gravity. Cartan's geometry of fibre bundles and differential forms are placed at the forefront, and a detailed review of the relevant differential geometry is also presented. Particular emphasis is given to General Relativity in 4D space-time, in which the concepts of chirality and self-duality begin to play a key role. Associated chiral formulations are catalogued, allowing many practical simplifications. In addition to the chiral gravitational perturbation theory the book also presents in detail the twistor description of gravity, as well as its generalisation based on geometry of 3-forms in seven dimensions. Joining our highly prestigious Cambridge Monographs in Mathematical Physics series, this book will interest graduate students and researchers in the fields of General Relativity and gravitational physics"--
摘要註
This monograph describes the different formulations of Einstein's General Theory of Relativity. Unlike traditional treatments, Cartan's geometry of fibre bundles and differential forms is placed at the forefront, and a detailed review of the relevant differential geometry is presented. Particular emphasis is given to general relativity in 4D space-time, in which the concepts of chirality and self-duality begin to play a key role. Associated chiral formulations are catalogued, and shown to lead to many practical simplifications. The book develops the chiral gravitational perturbation theory, in which the spinor formalism plays a central role. The book also presents in detail the twistor description of gravity, as well as its generalisation based on geometry of 3-forms in seven dimensions. Giving valuable insight into the very nature of gravity, this book joins our highly prestigious Cambridge Monographs in Mathematical Physics series. It will interest graduate students and researchers in the fields of theoretical physics and differential geometry.
