Автор: F. J. Flaherty Название: Asymptotic Behavior of Mass and Spacetime Geometry ISBN: 3540133518 ISBN-13(EAN): 9783540133513 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Carroll Sean M Название: Spacetime and Geometry ISBN: 1108488390 ISBN-13(EAN): 9781108488396 Издательство: Cambridge Academ Рейтинг: Цена: 8237.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid and approachable style, it covers the foundations of the theory, mathematical formalism, and the major applications of general relativity including black holes, gravitational waves and cosmology.
Описание: Over the past four decades, physicists have searched for a viable theory of quantum gravity in curved space-time. This book explores two theories: semi-classical gravity theory and stochastic gravity theory. Covering mathematical formalisms and advanced field theory techniques, this is a valuable resource for researchers in quantum field theory.
Автор: Gregory L. Naber Название: The Geometry of Minkowski Spacetime ISBN: 1493902415 ISBN-13(EAN): 9781493902415 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman's characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type classification of electromagnetic fields in both tensor and spinor form, a topology for Minkowski spacetime whose homeomorphism group is essentially the Lorentz group, and a careful discussion of Dirac's famous Scissors Problem and its relation to the notion of a two-valued representation of the Lorentz group. This second edition includes a new chapter on the de Sitter universe which is intended to serve two purposes. The first is to provide a gentle prologue to the steps one must take to move beyond special relativity and adapt to the presence of gravitational fields that cannot be considered negligible. The second is to understand some of the basic features of a model of the empty universe that differs markedly from Minkowski spacetime, but may be recommended by recent astronomical observations suggesting that the expansion of our own universe is accelerating rather than slowing down. The treatment presumes only a knowledge of linear algebra in the first three chapters, a bit of real analysis in the fourth and, in two appendices, some elementary point-set topology.
The first edition of the book received the 1993 CHOICE award for Outstanding Academic Title.
Reviews of first edition:
"... a valuable contribution to the pedagogical literature which will be enjoyed by all who delight in precise mathematics and physics." (American Mathematical Society, 1993)
"Where many physics texts explain physical phenomena by means of mathematical models, here a rigorous and detailed mathematical development is accompanied by precise physical interpretations." (CHOICE, 1993)
"... his talent in choosing the most significant results and ordering them within the book can't be denied. The reading of the book is, really, a pleasure." (Dutch Mathematical Society, 1993)
Автор: Joachim Schroter Название: Minkowski Space: The Spacetime of Special Relativity ISBN: 3110484579 ISBN-13(EAN): 9783110484571 Издательство: Walter de Gruyter Цена: 16727.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In Minkowski-Space the space-time of special relativity is discussed on the basis of fundamental results of space-time theory. This idea has the consequence that the Minkowski-space can be characterized by 5 axioms, which determine its geometrical and kinematical structure completely. In this sense Minkowski-Space is a prolegomenon for the formulation of other branches of special relativity, like mechanics, electrodynamics, thermodynamics etc. But these applications are not subjects of this book. Contents Basic properties of special relativityFurther properties of Lorentz matricesFurther properties of Lorentz transformationsDecomposition of Lorentz matrices and Lorentz transformationsFurther structures on MsTangent vectors in MsOrientationKinematics on MsSome basic notions of relativistic theories
Автор: Fabio Cardone; Roberto Mignani Название: Deformed Spacetime ISBN: 904817595X ISBN-13(EAN): 9789048175956 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume provides a detailed discussion of the mathematical aspects and physical applications of a new geometrical structure of space-time, based on a generalization ("deformation") of the usual Minkowski space, as supposed to be endowed with a metric whose coefficients depend on the energy.
Описание: This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.
Автор: Manchak, Jb (university Of California, Irvine) Название: Global spacetime structure ISBN: 1108819532 ISBN-13(EAN): 9781108819534 Издательство: Cambridge Academ Рейтинг: Цена: 2851.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This exploration of the global structure of spacetime within the context of general relativity examines the causal and singular structures of spacetime, revealing some of the curious possibilities that are compatible with the theory, such as `time travel` and `holes` of various types.
Автор: Alessia Benedetta Platania Название: Asymptotically Safe Gravity ISBN: 3030075338 ISBN-13(EAN): 9783030075330 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Поставка под заказ.
Описание: This book seeks to construct a consistent fundamental quantum theory of gravity, which is often considered one of the most challenging open problems in present-day physics. It approaches this challenge using modern functional renormalization group techniques, and attempts to realize the idea of “Asymptotic Safety” originally proposed by S. Weinberg. Quite remarkably, the book makes significant progress regarding both the fundamental aspects of the program and its phenomenological consequences.
The conceptual developments pioneer the construction of a well-behaved functional renormalization group equation adapted to spacetimes with a preferred time-direction. It is demonstrated that the Asymptotic Safety mechanism persists in this setting and extends to many phenomenologically interesting gravity-matter systems. These achievements constitute groundbreaking steps towards bridging the gap between quantum gravity in Euclidean and Lorentzian spacetimes.
The phenomenological applications cover core topics in quantum gravity, e.g. constructing a phenomenologically viable cosmological evolution based on quantum gravity effects in the very early universe, and analyzing quantum corrections to black holes forming from a spherical collapse.
As a key feature, all developments are presented in a comprehensive and accessible way. This makes the work a timely and valuable guide into the rapidly evolving field of Asymptotic Safety.
Описание: This book provides a concise introduction to both the special theory of relativity and the general theory of relativity. The format is chosen to provide the basis for a single semester course which can take the students all the way from the foundations of special relativity to the core results of general relativity: the Einstein equation and the equations of motion for particles and light in curved spacetime. To facilitate access to the topics of special and general relativity for science and engineering students without prior training in relativity or geometry, the relevant geometric notions are also introduced and developed from the ground up. Students in physics, mathematics or engineering with an interest to learn Einstein's theories of relativity should be able to use this book already in the second semester of their third year. The book could also be used as the basis of a graduate level introduction to relativity for students who did not learn relativity as part of their undergraduate training.
Автор: Ulrich Majer; Heinz-J?rgen Schmidt Название: Reflections on Spacetime ISBN: 9048146127 ISBN-13(EAN): 9789048146123 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Ulrich Majer; Heinz-J?rgen Schmidt Название: Reflections on Spacetime ISBN: 0792337123 ISBN-13(EAN): 9780792337126 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focusing on unsolved questions, such as the possibility of time machines, referential indeterminacy, the hole problem, and the conventional vs empirical character of spacetime, this book presents a collection of research papers, written by those who had participated in the Zentrum fur interdisziplinare Forschung during the academic year 1992/93.
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