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Advanced Lectures on General Relativity

2019-01-31 Science
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Release : 2019-01-31
Genre : Science
Kind : eBook
Book Rating : 60X/5 ( reviews)

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Book Synopsis Advanced Lectures on General Relativity by : Geoffrey Compère

Download or read book Advanced Lectures on General Relativity written by Geoffrey Compère. This book was released on 2019-01-31. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.

Advanced Lectures on General Relativity

2019-02-01 Science
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Release : 2019-02-01
Genre : Science
Kind : eBook
Book Rating : 592/5 ( reviews)

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Book Synopsis Advanced Lectures on General Relativity by : Geoffrey Compère

Download or read book Advanced Lectures on General Relativity written by Geoffrey Compère. This book was released on 2019-02-01. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes are intended for starting PhD students in theoretical physics who have a working knowledge of General Relativity. The four topics covered are: Surface charges as conserved quantities in theories of gravity; Classical and holographic features of three-dimensional Einstein gravity; Asymptotically flat spacetimes in four dimensions: BMS group and memory effects; The Kerr black hole: properties at extremality and quasi-normal mode ringing. Each topic starts with historical foundations and points to a few modern research directions.

A Relativist's Toolkit

2004-05-06 Science
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Release : 2004-05-06
Genre : Science
Kind : eBook
Book Rating : 995/5 ( reviews)

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Book Synopsis A Relativist's Toolkit by : Eric Poisson

Download or read book A Relativist's Toolkit written by Eric Poisson. This book was released on 2004-05-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced General Relativity

1993-11-26 Science
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Release : 1993-11-26
Genre : Science
Kind : eBook
Book Rating : 465/5 ( reviews)

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Book Synopsis Advanced General Relativity by : John Stewart

Download or read book Advanced General Relativity written by John Stewart. This book was released on 1993-11-26. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to advanced general relativity.

Mathematical Problems of General Relativity I

2008 Science
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Release : 2008
Genre : Science
Kind : eBook
Book Rating : 050/5 ( reviews)

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Book Synopsis Mathematical Problems of General Relativity I by : Demetrios Christodoulou

Download or read book Mathematical Problems of General Relativity I written by Demetrios Christodoulou. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: General relativity is a theory proposed by Einstein in 1915 as a unified theory of space, time and gravitation. It is based on and extends Newton's theory of gravitation as well as Newton's equations of motion. It is thus fundamentally rooted in classical mechanics. The theory can be seen as a development of Riemannian geometry, itself an extension of Gauss' intrinsic theory of curved surfaces in Euclidean space. The domain of application of the theory is astronomical systems. One of the mathematical methods analyzed and exploited in the present volume is an extension of Noether's fundamental principle connecting symmetries to conserved quantities. This is involved at a most elementary level in the very definition of the notion of hyperbolicity for an Euler-Lagrange system of partial differential equations. Another method, the study and systematic use of foliations by characteristic (null) hypersurfaces, is in the spirit of Roger Penrose's approach in his incompleteness theorem. The methods have applications beyond general relativity to problems in fluid mechanics and, more generally, to the mechanics and electrodynamics of continuous media. The book is intended for advanced students and researchers seeking an introduction to the methods and applications of general relativity.

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