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Formulations of General Relativity : Gravity, Spinors and Differential Forms

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Title: Formulations of General Relativity : Gravity, Spinors and Differential Forms
Description: 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.
Authors: Kirill Krasnov
Resource Type: eBook.
Subjects: Spinor analysis, General relativity (Physics)--Mathematics, Mathematical physics, General relativity (Physics)
Categories: SCIENCE / Space Science / Cosmology
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-pdf
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 2478735
RelevancyScore: 1097
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1096.64697265625
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  Data: 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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  Data: <searchLink fieldCode="DE" term="%22Spinor+analysis%22">Spinor analysis</searchLink><br /><searchLink fieldCode="DE" term="%22General+relativity+%28Physics%29--Mathematics%22">General relativity (Physics)--Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+physics%22">Mathematical physics</searchLink><br /><searchLink fieldCode="DE" term="%22General+relativity+%28Physics%29%22">General relativity (Physics)</searchLink>
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RecordInfo BibRecord:
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    Classifications:
      – Code: 530.11
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Spinor analysis
        Type: general
      – SubjectFull: General relativity (Physics)--Mathematics
        Type: general
      – SubjectFull: Mathematical physics
        Type: general
      – SubjectFull: General relativity (Physics)
        Type: general
    Titles:
      – TitleFull: Formulations of General Relativity : Gravity, Spinors and Differential Forms
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          Name:
            NameFull: Kirill Krasnov
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            NameFull: Kirill Krasnov
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2020
            – D: 17
              M: 02
              Type: profile
              Y: 2021
          Identifiers:
            – Type: isbn-print
              Value: 9781108481649
            – Type: isbn-electronic
              Value: 9781108600347
          Titles:
            – TitleFull: Formulations of General Relativity : Gravity, Spinors and Differential Forms
              Type: main
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