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Formulations of general relativity : = gravity, spinors and differential forms /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Formulations of general relativity :/ Kirill Krasnov.
其他題名:	gravity, spinors and differential forms /
作者:	Krasnov, Kirill,
面頁冊數:	1 online resource (xvii, 372 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 12 Nov 2020).
標題:	General relativity (Physics) - Mathematics. -
電子資源:	https://doi.org/10.1017/9781108674652
ISBN:	9781108674652 (ebook)

Formulations of general relativity : = gravity, spinors and differential forms /
Krasnov, Kirill,1973-

Formulations of general relativity :gravity, spinors and differential forms /Kirill Krasnov. - 1 online resource (xvii, 372 pages) :digital, PDF file(s). - Cambridge monographs on mathematical physics. - Cambridge monographs on mathematical physics..

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.

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.

ISBN: 9781108674652 (ebook)Subjects--Topical Terms:

885074
General relativity (Physics)
--Mathematics.

LC Class. No.: QC173.6 / .K73 2020

Dewey Class. No.: 530.11

Formulations of general relativity : = gravity, spinors and differential forms /
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520 $a 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.
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