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Author : F. J. Flaherty
Publisher : Springer
ISBN 13 : 9783662177327
Total Pages : 219 pages
Book Rating : 4.1/5 (773 download)
Download or read book Asymptotic Behavior of Mass and Spacetime Geometry written by F. J. Flaherty and published by Springer. This book was released on 2014-03-12 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francis J. Flaherty
Publisher : Springer
ISBN 13 :
Total Pages : 232 pages
Book Rating : 4.:/5 (318 download)
Download or read book Asymptotic Behavior of Mass and Spacetime Geometry written by Francis J. Flaherty and published by Springer. This book was released on 1984 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. Böhme
Publisher : Springer Science & Business Media
ISBN 13 : 3662123525
Total Pages : 1157 pages
Book Rating : 4.6/5 (621 download)
Download or read book Literature 1985, Part 1 written by S. Böhme and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 1157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Astronomy and Astrophysics Abstracts aims to present a comprehensive documen tation of the literature concerning all aspects of astronomy, astrophysics, and their border fields. It is devoted to the recording, summarizing, and indexing of the relevant publications throughout the world. Astronomy and Astrophysics Abstracts is prepared by a special department of the Astronomisches Rechen-Institut under the auspices of the International Astronomical Union. Volume 39 records literature published in 1985 and received before August 15, 1985. Some older documents which we received late and which are not surveyed in earlier volumes are included too. We acknowledge with thanks contributions of our colleagues all over the world. We also express our gratitude to all organiza tions, observatories, and publishers which provide us with complimentary copies of their publications. On account of the introduction of an object index the scope of index information will be considerably enlarged beginning with this volume. In connection with the subject index an additional source to satisfy the needs of retrieval is opened up. Starting with Volume 33, all the recording, correction, and data processing work was done by means of computers. The recording was done by our technical staff members Ms. Helga Ballmann, Ms. Mona El-Choura, Ms. Monika Kohl, Ms. Sylvia Matyssek. Ms. Karin Burkhardt, Ms. Susanne Schlotelburg, and Mr. Stefan Wagner supported our task by careful proofreading. It is a pleasure to thank them all for their encouragement. Heidelberg, September 1985 The Editors Contents Introduction . . . . . . . . . . . .
Author : Francis J. Flaherty
Publisher : Springer
ISBN 13 :
Total Pages : 236 pages
Book Rating : 4.3/5 (91 download)
Download or read book Asymptotic Behavior of Mass and Spacetime Geometry written by Francis J. Flaherty and published by Springer. This book was released on 1984 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger Penrose
Publisher : Cambridge University Press
ISBN 13 : 9780521347860
Total Pages : 516 pages
Book Rating : 4.3/5 (478 download)
Download or read book Spinors and Space-Time: Volume 2, Spinor and Twistor Methods in Space-Time Geometry written by Roger Penrose and published by Cambridge University Press. This book was released on 1984 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.
Author : Robert Everist Greene
Publisher : American Mathematical Soc.
ISBN 13 : 0821814958
Total Pages : 681 pages
Book Rating : 4.8/5 (218 download)
Download or read book Differential Geometry: Geometry in Mathematical Physics and Related Topics written by Robert Everist Greene and published by American Mathematical Soc.. This book was released on 1993 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge
Author : Sergiu Klainerman
Publisher : Springer Science & Business Media
ISBN 13 : 146122084X
Total Pages : 395 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Evolution Problem in General Relativity written by Sergiu Klainerman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 395 pages. 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.
Author : L.J. Mason
Publisher : CRC Press
ISBN 13 : 1482280949
Total Pages : 432 pages
Book Rating : 4.4/5 (822 download)
Download or read book Further Advances in Twistor Theory, Volume III written by L.J. Mason and published by CRC Press. This book was released on 2022-01-27 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory. At the same time, the theory continues to offer pro
Author : L.J. Mason
Publisher : CRC Press
ISBN 13 : 9781584880479
Total Pages : 436 pages
Book Rating : 4.8/5 (84 download)
Download or read book Further Advances in Twistor Theory written by L.J. Mason and published by CRC Press. This book was released on 2001-03-15 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory. At the same time, the theory continues to offer promising new insights into the nature of quantum theory and gravitation. Further Advances in Twistor Theory, Volume III: Curved Twistor Spaces is actually the fourth in a series of books compiling articles from Twistor Newsletter-a somewhat informal journal published periodically by the Oxford research group of Roger Penrose. Motivated both by questions in differential geometry and by the quest to find a twistor correspondence for general Ricci-flat space times, this volume explores deformed twistor spaces and their applications. Articles from the world's leading researchers in this field-including Roger Penrose-have been written in an informal, easy-to-read style and arranged in four chapters, each supplemented by a detailed introduction. Collectively, they trace the development of the twistor programme over the last 20 years and provide an overview of its recent advances and current status.
Author : Lydia Bieri
Publisher : American Mathematical Soc.
ISBN 13 : 0821848232
Total Pages : 523 pages
Book Rating : 4.8/5 (218 download)
Download or read book Extensions of the Stability Theorem of the Minkowski Space in General Relativity written by Lydia Bieri and published by American Mathematical Soc.. This book was released on 2009-06-30 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: A famous result of Christodoulou and Klainerman is the global nonlinear stability of Minkowski spacetime. In this book, Bieri and Zipser provide two extensions to this result. In the first part, Bieri solves the Cauchy problem for the Einstein vacuum equations with more general, asymptotically flat initial data, and describes precisely the asymptotic behavior. In particular, she assumes less decay in the power of $r$ and one less derivative than in the Christodoulou-Klainerman result. She proves that in this case, too, the initial data, being globally close to the trivial data, yields a solution which is a complete spacetime, tending to the Minkowski spacetime at infinity along any geodesic. In contrast to the original situation, certain estimates in this proof are borderline in view of decay, indicating that the conditions in the main theorem on the decay at infinity on the initial data are sharp. In the second part, Zipser proves the existence of smooth, global solutions to the Einstein-Maxwell equations. A nontrivial solution of these equations is a curved spacetime with an electromagnetic field. To prove the existence of solutions to the Einstein-Maxwell equations, Zipser follows the argument and methodology introduced by Christodoulou and Klainerman. To generalize the original results, she needs to contend with the additional curvature terms that arise due to the presence of the electromagnetic field $F$; in her case the Ricci curvature of the spacetime is not identically zero but rather represented by a quadratic in the components of $F$. In particular the Ricci curvature is a constant multiple of the stress-energy tensor for $F$. Furthermore, the traceless part of the Riemann curvature tensor no longer satisfies the homogeneous Bianchi equations but rather inhomogeneous equations including components of the spacetime Ricci curvature. Therefore, the second part of this book focuses primarily on the derivation of estimates for the new terms that arise due to the presence of the electromagnetic field.
Author : Mark J. Gotay
Publisher : American Mathematical Soc.
ISBN 13 : 0821851446
Total Pages : 644 pages
Book Rating : 4.8/5 (218 download)
Download or read book Mathematical Aspects of Classical Field Theory written by Mark J. Gotay and published by American Mathematical Soc.. This book was released on 1992 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical field theory has undergone a renaissance in recent years. Symplectic techniques have yielded deep insights into its foundations, as has an improved understanding of the variational calculus. Further impetus for the study of classical fields has come from other areas, such as integrable systems, Poisson geometry, global analysis, and quantum theory. This book contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Mathematical Aspects of Classical Field Theory, held in July 1991 at the University of Washington at Seattle. The conference brought together researchers in many of the main areas of classical field theory to present the latest ideas and results. The volume contains thirty refereed papers, both survey and research articles, and is designed to reflect the state of the art as well as chart the future course of the subject.
Author : Stanley Chang
Publisher : Princeton University Press
ISBN 13 : 069116049X
Total Pages : 442 pages
Book Rating : 4.6/5 (911 download)
Download or read book A Course on Surgery Theory written by Stanley Chang and published by Princeton University Press. This book was released on 2021-01-26 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced treatment of surgery theory for graduate students and researchers Surgery theory, a subfield of geometric topology, is the study of the classifications of manifolds. A Course on Surgery Theory offers a modern look at this important mathematical discipline and some of its applications. In this book, Stanley Chang and Shmuel Weinberger explain some of the triumphs of surgery theory during the past three decades, from both an algebraic and geometric point of view. They also provide an extensive treatment of basic ideas, main theorems, active applications, and recent literature. The authors methodically cover all aspects of surgery theory, connecting it to other relevant areas of mathematics, including geometry, homotopy theory, analysis, and algebra. Later chapters are self-contained, so readers can study them directly based on topic interest. Of significant use to high-dimensional topologists and researchers in noncommutative geometry and algebraic K-theory, A Course on Surgery Theory serves as an important resource for the mathematics community.
Author : Markus Heusler
Publisher : Cambridge University Press
ISBN 13 : 0521567351
Total Pages : 267 pages
Book Rating : 4.5/5 (215 download)
Download or read book Black Hole Uniqueness Theorems written by Markus Heusler and published by Cambridge University Press. This book was released on 1996-07-25 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the mathematical theory of black holes.
Author : Juan A. Valiente Kroon
Publisher : Cambridge University Press
ISBN 13 : 1009291343
Total Pages : 627 pages
Book Rating : 4.0/5 (92 download)
Download or read book Conformal Methods in General Relativity written by Juan A. Valiente Kroon and published by Cambridge University Press. This book was released on 2023-01-31 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.
Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461220440
Total Pages : 635 pages
Book Rating : 4.4/5 (612 download)
Download or read book Clifford Algebras written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.
Author : 国立国会図書館 (Japan)
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.F/5 ( download)
Download or read book 国立国会図書館所蔵科学技術関係欧文会議錄目錄 written by 国立国会図書館 (Japan) and published by . This book was released on 1972 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. W. Hawking
Publisher : Cambridge University Press
ISBN 13 : 1139810952
Total Pages : pages
Book Rating : 4.1/5 (398 download)
Download or read book The Large Scale Structure of Space-Time written by S. W. Hawking and published by Cambridge University Press. This book was released on 1975-02-27 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space; and secondly, that there will exist singularities in space-time itself. These singularities are places where space-time begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of space-time curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.
