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Formulations of General Relativity: Gravity, Spinors and Differential Forms

Formulations of General Relativity: Gravity, Spinors and Differential Forms

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  • More about Formulations of General Relativity: Gravity, Spinors and Differential Forms

This monograph provides a comprehensive review of Einstein's General Theory of Relativity, focusing on Cartan's geometry of fiber bundles and differential forms. It develops the chiral gravitational perturbation theory and presents the twistor description of gravity, offering valuable insight into the nature of gravity. It is suitable for graduate students and researchers in theoretical physics and differential geometry.

Format: Hardback
Length: 404 pages
Publication date: 26 November 2020
Publisher: Cambridge University Press

This monograph delves into the intricate formulations of Einstein's General Theory of Relativity, offering a fresh perspective that places Cartan's geometry of fiber bundles and differential forms at the forefront. A comprehensive review of differential geometry is presented, providing a solid foundation for understanding the theory. Special attention is given to general relativity in four-dimensional space-time, where the concepts of chirality and self-duality emerge as crucial. Associated chiral formulations are explored, leading to numerous practical simplifications. The book further develops the chiral gravitational perturbation theory, utilizing the spinor formalism as a central tool. Additionally, it presents a detailed twistor description of gravity, along with its generalization based on geometry of three-forms in seven dimensions. This profound exploration of gravity offers valuable insights into its very nature and proudly joins the esteemed Cambridge Monographs in Mathematical Physics series. It appeals to graduate students and researchers alike in the fields of theoretical physics and differential geometry.

Weight: 846g
Dimension: 176 x 251 x 30 (mm)
ISBN-13: 9781108481649

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