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Global Structure and Evolution in General Relativity

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Release : 2013-11-13
Genre : Science
Kind : eBook
Book Rating : 727/5 ( reviews)

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Book Synopsis Global Structure and Evolution in General Relativity by : Spiros Cotsakis

Download or read book Global Structure and Evolution in General Relativity written by Spiros Cotsakis. This book was released on 2013-11-13. Available in PDF, EPUB and Kindle. Book excerpt: The five lectures presented in this volume address very timely mathematical problems in relativity and cosmology. Part I is devoted to the initial value and evolution problems of the Einstein equations. Especially it deals with the Einstein-Yang-Mills-Boltzmann system, fluid models with finite or infinite conductivity, global evolution of a new (two-phase) model for gravitational collapse and the structure of maximal, asymptotically flat, vacuum solutions of the constraint equations which have the additional property of containing trapped surfaces. Part II focuses on geometrical-topological problems in relativity and cosmology: on the role of cosmic censorship for the global structure of the Einstein-Maxwell equations and on the mathematical structure of quantum conformal superspace.

Global Structure and Evolution in General Relativity

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Release : 1996-02-07
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Global Structure and Evolution in General Relativity by : Spiros Cotsakis

Download or read book Global Structure and Evolution in General Relativity written by Spiros Cotsakis. This book was released on 1996-02-07. Available in PDF, EPUB and Kindle. Book excerpt: The five lectures presented in this volume address very timely mathematical problems in relativity and cosmology. Part I is devoted to the initial value and evolution problems of the Einstein equations. Especially it deals with the Einstein-Yang-Mills-Boltzmann system, fluid models with finite or infinite conductivity, global evolution of a new (two-phase) model for gravitational collapse and the structure of maximal, asymptotically flat, vacuum solutions of the constraint equations which have the additional property of containing trapped surfaces. Part II focuses on geometrical-topological problems in relativity and cosmology: on the role of cosmic censorship for the global structure of the Einstein-Maxwell equations and on the mathematical structure of quantum conformal superspace.

The Evolution Problem in General Relativity

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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 84X/5 ( reviews)

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Book Synopsis The Evolution Problem in General Relativity by : Sergiu Klainerman

Download or read book The Evolution Problem in General Relativity written by Sergiu Klainerman. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. Christodoulou and S. Klainerman, [Ch-KI]. We provide a new self-contained proof of the main part of that result, which concerns the full solution of the radiation problem in vacuum, for arbitrary asymptotically flat initial data sets. This can also be interpreted as a proof of the global stability of the external region of Schwarzschild spacetime. The proof, which is a significant modification of the arguments in [Ch-Kl], is based on a double null foliation of spacetime instead of the mixed null-maximal foliation used in [Ch-Kl]. This approach is more naturally adapted to the radiation features of the Einstein equations and leads to important technical simplifications. In the first chapter we review some basic notions of differential geometry that are sys tematically used in all the remaining chapters. We then introduce the Einstein equations and the initial data sets and discuss some of the basic features of the initial value problem in general relativity. We shall review, without proofs, well-established results concerning local and global existence and uniqueness and formulate our main result. The second chapter provides the technical motivation for the proof of our main theorem.

General Relativity and Gravitation

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Release : 1987-09-24
Genre : Science
Kind : eBook
Book Rating : 965/5 ( reviews)

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Book Synopsis General Relativity and Gravitation by : M. A. H. MacCallum

Download or read book General Relativity and Gravitation written by M. A. H. MacCallum. This book was released on 1987-09-24. Available in PDF, EPUB and Kindle. Book excerpt:

Building the General Relativity and Gravitation Community During the Cold War

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Release : 2017-08-21
Genre : Science
Kind : eBook
Book Rating : 546/5 ( reviews)

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Book Synopsis Building the General Relativity and Gravitation Community During the Cold War by : Roberto Lalli

Download or read book Building the General Relativity and Gravitation Community During the Cold War written by Roberto Lalli. This book was released on 2017-08-21. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a new perspective on the history of general relativity. It outlines the attempts to establish an institutional framework for the promotion of the field during the Cold War. Readers will learn the difficulties that key figures experienced and overcame during this period of global conflict. The author analyzes the subtle interconnections between scientific and political factors. He shows how politics shaped the evolution of general relativity, even though it is a field with no military applications. He also details how different scientists held quite different views about what “political” meant in their efforts to pursue international cooperation. The narrative examines the specific epistemic features of general relativity that helped create the first official, international scientific society. It answers: Why did relativity bring about this unique result? Was it simply the product of specific actions of particular actors having an illuminated view of international relations in the specific context of the Cold War? Or, was there something in the nature of the field that inspired the actors to pioneer new ways of international cooperation? The book will be of interest to historians of modern science, historians of international relations, and historians of institutions. It will also appeal to physicists and interested general readers.

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