Synopsis
The global aspects of the problem of evolution equations in general relativity are examined. Central to the work is a revisit of the proof of the global stability of Minkowski space, as presented by Christodoulou and Klainerman (1993). The focus, therefore, is on 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 asymptotic flat initial data sets. This important monograph is aimed at researchers and graduate students in mathematics, mathematical physics, and physics working in the area of general relativity.
"synopsis" may belong to another edition of this title.
Review
"The book . . . gives a new proof of the central part of the theorem of Christodoulou and S. Klainerman, The global nonlinear stability of the Minkowski space . . . The authors prove, working in terms of double null foliations, a nonlinear stability, or global existence for small data, result for exterior domains."
―Mathematical Reviews
"...Important results in this book are presented in a more ‘digestible’ form [than] in the preceding book [‘The global nonlinear stability of the Minkowski space’] and thus scientists and graduate students working in relativity are recommended to read at least the introduction and the conclusions."
―Applications Of Mathematics
"...This important monograph, presenting the detailed proof of an important result in general relativity, is of great interest to researchers and graduate students in mathematics, mathematical physics, and physics in the area of general relativity."
―Studia Universitatis Babes-Bolyai, Series Mathematica
"The main purpose of this book is to revisit the global stability of Minkowski space as set out by D. Chrostodoulou and S. Klainerman (1993). Here the authors 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."
―BookNews
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for The Evolution Problem in General Relativity (Progress...
Stock Image
The Evolution Problem in General Relativity (Paperback)
Published by
Springer-Verlag New York Inc., New York, 2011
ISBN 10: 1461274087
ISBN 13: 9781461274087
New
Paperback
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. 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. The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781461274087
Stock Image
The Evolution Problem in General Relativity (Progress in Mathematical Physics)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar2716030028808
Stock Image
The Evolution Problem in General Relativity (Progress in Mathematical Physics)
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. In. Seller Inventory # ria9781461274087_new
Buy New
US$ 158.62
US$ 16.14 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
The Evolution Problem in General Relativity
Published by
Birkhäuser Boston Sep 2011, 2011
ISBN 10: 1461274087
ISBN 13: 9781461274087
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 404 pp. Englisch. Seller Inventory # 9781461274087
Buy New
US$ 168.33
US$ 27.03 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: 2 available
Seller Image
The Evolution Problem in General Relativity
Print on DemandSeller: moluna, Greven, Germany
Seller rating 4 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 radi. Seller Inventory # 4190025
Buy New
US$ 143.55
US$ 57.56 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: Over 20 available
Stock Image
The Evolution Problem in General Relativity
Published by
Springer-Verlag New York Inc., 2011
ISBN 10: 1461274087
ISBN 13: 9781461274087
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. Seller Inventory # C9781461274087
Buy New
US$ 192.64
US$ 22.50 shipping
Ships from United Kingdom to U.S.A.
Ships from United Kingdom to U.S.A.
Quantity: Over 20 available
Seller Image
The Evolution Problem in General Relativity
Print on DemandSeller: preigu, Osnabrück, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. The Evolution Problem in General Relativity | Sergiu Klainerman (u. a.) | Taschenbuch | 400 S. | Englisch | 2011 | Birkhäuser | EAN 9781461274087 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. Seller Inventory # 106369933
Buy New
US$ 148.86
US$ 82.25 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: 5 available
Seller Image
The Evolution Problem in General Relativity
Published by
Birkhäuser Boston, Birkhäuser Boston Sep 2011, 2011
ISBN 10: 1461274087
ISBN 13: 9781461274087
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 404 pp. Englisch. Seller Inventory # 9781461274087
Buy New
US$ 168.33
US$ 70.50 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: 1 available
Seller Image
The Evolution Problem in General Relativity
Published by
Birkhäuser Boston, Birkhäuser Boston, 2011
ISBN 10: 1461274087
ISBN 13: 9781461274087
New
Taschenbuch
Seller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781461274087
Buy New
US$ 177.89
US$ 74.08 shipping
Ships from Germany to U.S.A.
Ships from Germany to U.S.A.
Quantity: 1 available
Stock Image
The Evolution Problem in General Relativity (Paperback)
Published by
Springer-Verlag New York Inc., New York, 2011
ISBN 10: 1461274087
ISBN 13: 9781461274087
New
Paperback
Seller: AussieBookSeller, Truganina, VIC, Australia
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. 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. The main goal of this work is to revisit the proof of the global stability of Minkowski space by D. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9781461274087
Buy New
US$ 219.17
US$ 37.00 shipping
Ships from Australia to U.S.A.
Ships from Australia to U.S.A.
Quantity: 1 available