Formulations of general relativity: gravity, spinors and differential forms
"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 f…
Read More ↓Title Statements
- Full title :Formulations of general relativity : gravity, spinors and differential forms / Kirill Krasnov.
Summary
"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"--
Read More ↓Edition Statements
- Publication Date:©2020
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge, United Kingdom
- Language:eng
- Publication Date:©2020
The Physical Object
- Description:xvii, 372 pages : : illustrations (black and white) ; : 26 cm.
Edition Identifiers
- ISBN:9781108481649, 1108481647
- oclc:on1141237359
- LC Classification:QC173.6
- Dewey Decimal:530.11
Table of Contents
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.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Nonstandard analysis and its applications
Spacetime without reference frames
Variational methods in nonlinear field equations: solitary waves, hylomorphic solitons an…
Benci, V., (Vieri)
Quantum field theory for mathematicians
Rate & Review