Formulations of General Relativity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Formulations of General Relativity write by Kirill Krasnov. This book was released on 2020-11-26. Formulations of General Relativity available in PDF, EPUB and Kindle. Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.
Formulations of General Relativity
Formulations of General Relativity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Formulations of General Relativity write by Kirill Krasnov. This book was released on 2020-11-26. Formulations of General Relativity available in PDF, EPUB and Kindle. 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.
Group Theory and General Relativity
Group Theory and General Relativity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Group Theory and General Relativity write by Moshe Carmeli. This book was released on 2000. Group Theory and General Relativity available in PDF, EPUB and Kindle. This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -- particularly the Lorentz and the SL(2, C) groups -- to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.
A Relativist's Toolkit
A Relativist's Toolkit - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Relativist's Toolkit write by Eric Poisson. This book was released on 2004-05-06. A Relativist's Toolkit available in PDF, EPUB and Kindle. This 2004 textbook fills a gap in the literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The context is provided by the mathematical theory of black holes, one of the most elegant, successful, and relevant applications of general relativity. Among the topics discussed are congruencies of timelike and null geodesics, the embedding of spacelike, timelike and null hypersurfaces in spacetime, and the Lagrangian and Hamiltonian formulations of general relativity. Although the book is self-contained, it is not meant to serve as an introduction to general relativity. Instead, it is meant to help the reader acquire advanced skills and become a competent researcher in relativity and gravitational physics. The primary readership consists of graduate students in gravitational physics. It will also be a useful reference for more seasoned researchers working in this field.
Introduction to General Relativity, Black Holes, and Cosmology
Introduction to General Relativity, Black Holes, and Cosmology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to General Relativity, Black Holes, and Cosmology write by Yvonne Choquet-Bruhat. This book was released on 2015. Introduction to General Relativity, Black Holes, and Cosmology available in PDF, EPUB and Kindle. A precise yet simple introduction to the foundations and main consequences of General Relativity. The first five chapters from Choquet-Bruhat's General Relativity and the Einstein Equations (2008) have been updated with new sections and chapters on black holes, gravitational waves, singularities and more to form this textbook.
