The n-Body Problem in General Relativity, T. Levi-Civita
Автор: David Hobill; Adrian Burd; A.A. Coley Название: Deterministic Chaos in General Relativity ISBN: 0306448114 ISBN-13(EAN): 9780306448119 Издательство: Springer Рейтинг: Цена: 28734.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Nonlinear dynamical systems play an important role in a number of disciplines. The physical, biological, economic and even sociological worlds are comprised of com- plex nonlinear systems that cannot be broken down into the behavior of their con- stituents and then reassembled to form the whole. The lack of a superposition principle in such systems has challenged researchers to use a variety of analytic and numerical methods in attempts to understand the interesting nonlinear interactions that occur in the World around us. General relativity is a nonlinear dynamical theory par excellence. Only recently has the nonlinear evolution of the gravitational field described by the theory been tackled through the use of methods used in other disciplines to study the importance of time dependent nonlinearities. The complexity of the equations of general relativity has been (and still remains) a major hurdle in the formulation of concrete mathematical concepts. In the past the imposition of a high degree of symmetry has allowed the construction of exact solutions to the Einstein equations. However, most of those solutions are nonphysical and of those that do have a physical significance, many are often highly idealized or time independent.
Автор: M. Sachs Название: Quantum Mechanics from General Relativity ISBN: 9027722471 ISBN-13(EAN): 9789027722478 Издательство: Springer Рейтинг: Цена: 30039.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: It is shown there to exhibit an explicit unification of the gravitational and electromagnetic fields of force with the inertial manifestations of matter, expressing the latter explicitly in terms of a covariant field theory within the structure of this general theory.
Описание: This text on relativistic ray optics covers such topics as: light propagation in linear dielectric and permeable media; ray-optical structures on arbitrary manifolds; ray-optical structures on Lorentzian manifolds; and variational principles for rays.
Автор: Newton Paul K. Название: The N-Vortex Problem / Analytical Techniques ISBN: 0387952268 ISBN-13(EAN): 9780387952260 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is an introduction to current research on the N- vortex problem of fluid mechanics. Its goal is to describe the Hamiltonian aspects of vortex dynamics so that graduate students and researchers can use the book as an entry point into the rather large literature on integrable and non-integrable vortex problems within the broader context of dynamical systems. It is as self-contained as possible: the only training required of the reader is a good background in advanced calculus and ordinary and partial differential equations at the level of a typical undergraduate engineering, physics, or applied mathematics major. Exercises of varying difficulty are found at the end of each chapter which often require the reader to fill in details of proofs or complete examples.
Описание: This book introduces the system of GHOF, discusses its properties, develops an operational algebra for the discretization of continuous dynamic systems on the system of GHOF and illustrates its use as a flexible and powerful framework of computational tools in a wide range of systems and control.
Автор: Norbert Straumann Название: General Relativity ISBN: 3642060137 ISBN-13(EAN): 9783642060137 Издательство: Springer Рейтинг: Цена: 11173.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Physics and mathematics students are as eager as ever to become acquainted withthefoundationsofgeneralrelativityandsomeofitsmajorapplicationsin astrophysics and cosmology. I hope that this textbook gives a comprehensive and timelyintroduction toboth aspectsof thisfascinating?eld, and willturn out to be useful for undergraduate and graduate students. This book is a complete revision and extension of my previous volume 'GeneralRelativityandRelativisticAstrophysics'thatappearedabouttwenty years ago in the Springer Series'Texts and Monographs in Physics'; however, it cannot be regarded just as a new edition. In Part I the foundations of general relativity are thoroughly developed. Some of the more advanced topics, such as the section on the initial value problem, can be skipped in a ?rst reading. Part II is devoted to tests of general relativity and many of its app- cations. Binary pulsars - our best laboratories for general relativity - are studied in considerable detail. I have included an introduction to gravi- tional lensing theory, to the extend that the current literature on the subject should become accessible. Much space is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel's proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten's proof of the positive energy theorem. All the required di?erential geometric tools are developed in Part III.
Автор: ?yvind Gr?n; Sigbjorn Hervik Название: Einstein`s General Theory of Relativity ISBN: 144192406X ISBN-13(EAN): 9781441924063 Издательство: Springer Рейтинг: Цена: 11753.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book introduces the general theory of relativity and includes applications to cosmology. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel`s formalism and branes.
Автор: Dirac, P.a.m. Название: General theory of relativity ISBN: 069101146X ISBN-13(EAN): 9780691011462 Издательство: Wiley Рейтинг: Цена: 5544.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Einstein`s general theory of relativity requires a curved space for the description of the physical world. This title comprises thirty-five compact chapters that takes the reader point-by-point through the necessary steps for understanding general relativity.
Автор: Giampiero Esposito Название: Complex General Relativity ISBN: 904814518X ISBN-13(EAN): 9789048145188 Издательство: Springer Рейтинг: Цена: 18284.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity.
Автор: Michel Henon Название: Generating Families in the Restricted Three-Body Problem ISBN: 3540638024 ISBN-13(EAN): 9783540638025 Издательство: Springer Рейтинг: Цена: 16979.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The author explains and organizes the material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations.
Автор: Carles Bona; Carlos Palenzuela-Luque; Carles Bona- Название: Elements of Numerical Relativity and Relativistic Hydrodynamics ISBN: 3642242502 ISBN-13(EAN): 9783642242502 Издательство: Springer Рейтинг: Цена: 11099.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book serves as a valuable primer to the field. It develops guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms.
Автор: G.S. Asanov Название: Finsler Geometry, Relativity and Gauge Theories ISBN: 9027719608 ISBN-13(EAN): 9789027719607 Издательство: Springer Рейтинг: Цена: 36570.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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