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Global spacetime structure, Manchak, Jb (university Of California, Irvine)


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Автор: Manchak, Jb (university Of California, Irvine)
Название:  Global spacetime structure
ISBN: 9781108819534
Издательство: Cambridge Academ
Классификация:


ISBN-10: 1108819532
Обложка/Формат: Paperback
Страницы: 75
Вес: 0.14 кг.
Дата издания: 03.12.2020
Серия: Elements in the philosophy of physics
Язык: English
Иллюстрации: Worked examples or exercises
Размер: 22.91 x 15.19 x 0.48 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Англии
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.


Gravitational Collapse and Spacetime Singularities

Автор: Pankaj S Joshi
Название: Gravitational Collapse and Spacetime Singularities
ISBN: 110740536X ISBN-13(EAN): 9781107405363
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: Investigating the issues involved in gravitational collapse, this book includes a detailed review of recent research into the subject, and several examples of collapse models are investigated in detail. It will be of interest to graduate students and academic researchers in gravitation physics, fundamental physics, astrophysics, and cosmology.

The Emergence of Spacetime in String Theory

Автор: Vistarini
Название: The Emergence of Spacetime in String Theory
ISBN: 1848935935 ISBN-13(EAN): 9781848935938
Издательство: Taylor&Francis
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Цена: 24499.00 р.
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Описание: The nature of space and time is one of the most fascinating and fundamental philosophical issues which presently engages at the deepest level with physics. This book considers the way string theory shapes its own account of spacetime disappearance from the fundamental level.

Relativity Without Spacetime

Автор: Cosgrove Joseph K.
Название: Relativity Without Spacetime
ISBN: 3319726307 ISBN-13(EAN): 9783319726304
Издательство: Springer
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Описание:

Introduction

Chapter One: A Critique of Minkowski Spacetime

Part I: The Concept of Minkowski Spacetime

Chapter Two Minkowski's "Space and Time"

2.1 Minkowski and Gцttingen Science

2.2 "Space and Time," Sections I and II

2.3 "Space and Time," Section III

2.4 "Space and Time," Section IV

Chapter Three Special Relativity and Spacetime

3.1 The Concept of a Continuum

3.2 The "Geometry of Spacetime" Graphs and Images

3.3 The Role of Invariance in Special Relativity

3.3.1 Invariance and Frame-Independence

3.3.2 Invariance and the Clock Paradox

3.4 Transition to Part II: Conceptual Difficulties of Minkowski Spacetime and the Need for a Historical Approach

Part II: The Symbolic-Algebraic Constitution of the Concept of Spacetime

Introduction to Part II The Concept of a Sense-History

Chapter Four The Historical Sense-Structure of Symbolic Algebra

4.1 The Concept of Number in Greek Mathematics

4.1.1 Arithmetical Operations in Euclid

4.1.2 The Concept of Ratio in Euclid

4.1.3 Arithmetic and Geometry in Euclid

4.2 Algebraic Equations in Greek Mathematics: Diophantus of Alexandria

4.2.1 The Concept of Number in Diophantus

4.2.2 Algebraic Calculations with "Species"

3.3 Modern Symbolic Algebra

4.3.1 Vieta's Reinterpretation of Diophantine Species

4.3.2 Vieta's Law of Homogeneity and the Symbolic Concept of Number

4.3.3 Vieta's Algebra as Mathesis Universalis

Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations: (ams-210)

Автор: Szeftel Jйrйmie, Klainerman Sergiu
Название: Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations: (ams-210)
ISBN: 0691212430 ISBN-13(EAN): 9780691212432
Издательство: Wiley
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Описание:

Essential mathematical insights into one of the most important and challenging open problems in general relativity--the stability of black holes

One of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations. An affirmative answer to this question would provide strong theoretical support for the physical reality of black holes. In this book, Sergiu Klainerman and J r mie Szeftel take a first important step toward solving the fundamental black hole stability problem in general relativity by establishing the stability of nonrotating black holes--or Schwarzschild spacetimes--under so-called polarized perturbations. This restriction ensures that the final state of evolution is itself a Schwarzschild space. Building on the remarkable advances made in the past fifteen years in establishing quantitative linear stability, Klainerman and Szeftel introduce a series of new ideas to deal with the strongly nonlinear, covariant features of the Einstein equations. Most preeminent among them is the general covariant modulation (GCM) procedure that allows them to determine the center of mass frame and the mass of the final black hole state. Essential reading for mathematicians and physicists alike, this book introduces a rich theoretical framework relevant to situations such as the full setting of the Kerr stability conjecture.

Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations: (ams-210)

Автор: Szeftel Jйrйmie, Klainerman Sergiu
Название: Global Nonlinear Stability of Schwarzschild Spacetime Under Polarized Perturbations: (ams-210)
ISBN: 0691212422 ISBN-13(EAN): 9780691212425
Издательство: Wiley
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Цена: 11880.00 р.
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Описание:

Essential mathematical insights into one of the most important and challenging open problems in general relativity--the stability of black holes

One of the major outstanding questions about black holes is whether they remain stable when subject to small perturbations. An affirmative answer to this question would provide strong theoretical support for the physical reality of black holes. In this book, Sergiu Klainerman and J r mie Szeftel take a first important step toward solving the fundamental black hole stability problem in general relativity by establishing the stability of nonrotating black holes--or Schwarzschild spacetimes--under so-called polarized perturbations. This restriction ensures that the final state of evolution is itself a Schwarzschild space. Building on the remarkable advances made in the past fifteen years in establishing quantitative linear stability, Klainerman and Szeftel introduce a series of new ideas to deal with the strongly nonlinear, covariant features of the Einstein equations. Most preeminent among them is the general covariant modulation (GCM) procedure that allows them to determine the center of mass frame and the mass of the final black hole state. Essential reading for mathematicians and physicists alike, this book introduces a rich theoretical framework relevant to situations such as the full setting of the Kerr stability conjecture.

Spacetime and Geometry

Автор: Carroll Sean M
Название: Spacetime and Geometry
ISBN: 1108488390 ISBN-13(EAN): 9781108488396
Издательство: Cambridge Academ
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Цена: 8237.00 р.
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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.

Minkowski Spacetime: A Hundred Years Later

Автор: Vesselin Petkov
Название: Minkowski Spacetime: A Hundred Years Later
ISBN: 9048134749 ISBN-13(EAN): 9789048134748
Издательство: Springer
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Описание: Celebrating the one hundredth anniversary of the 1909 publication of Minkowski`s seminal paper "Space and Time", this volume includes a fresh translation as well as the original in German, and a number of contributed papers on the still-controversial subject.

At the Frontier of Spacetime

Автор: Torsten Asselmeyer-Maluga
Название: At the Frontier of Spacetime
ISBN: 3319312979 ISBN-13(EAN): 9783319312972
Издательство: Springer
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Цена: 13555.00 р.
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Описание: In this book, leading theorists present new contributions and reviews addressing longstanding challenges and ongoing progress in spacetime physics.In the anniversary year of Einstein`s General Theory of Relativity, developed 100 years ago, this collection reflects the subsequent and continuing fruitful development of spacetime theories.

Discrete Causal Theory: Emergent Spacetime and the Causal Metric Hypothesis

Автор: Dribus Benjamin F.
Название: Discrete Causal Theory: Emergent Spacetime and the Causal Metric Hypothesis
ISBN: 3319843133 ISBN-13(EAN): 9783319843131
Издательство: Springer
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Цена: 23757.00 р.
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Описание: This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics. The causal metric hypothesis treats causal relations as the basis of this structure.

The Dirac Equation in Curved Spacetime: A Guide for Calculations

Автор: Collas Peter, Klein David
Название: The Dirac Equation in Curved Spacetime: A Guide for Calculations
ISBN: 3030148246 ISBN-13(EAN): 9783030148249
Издательство: Springer
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Цена: 9083.00 р.
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Описание:

This book explains and develops the Dirac equation in the context of general relativistic quantum mechanics in a range of spacetime dimensions. It clarifies the subject by carefully pointing out the various conventions used and explaining how they are related to each other. The prerequisites are familiarity with general relativity and an exposure to the Dirac equation at the level of special relativistic quantum mechanics, but a review of this latter topic is given in the first chapter as a reference and framework for the physical interpretations that follow. Worked examples and exercises with solutions are provided. Appendices include reviews of topics used in the body of the text. This book should benefit researchers and graduate students in general relativity and in condensed matter.
Philosophy beyond spacetime

Название: Philosophy beyond spacetime
ISBN: 019884414X ISBN-13(EAN): 9780198844143
Издательство: Oxford Academ
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Цена: 10296.00 р.
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Описание: Philosophy Beyond Spacetime assesses the state of play in the philosophy of quantum gravity. Research in this field aims at a unified theory in which quantum matter is related dynamically to relativistic spacetime. This volume highlights the conceptual questions involved, showing how physics and metaphysics can illuminate each other.

Relativity without Spacetime

Автор: Joseph K. Cosgrove
Название: Relativity without Spacetime
ISBN: 3030102408 ISBN-13(EAN): 9783030102401
Издательство: Springer
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Цена: 15372.00 р.
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Описание: In 1908, three years after Einstein first published his special theory of relativity, the mathematician Hermann Minkowski introduced his four-dimensional “spacetime” interpretation of the theory. Einstein initially dismissed Minkowski’s theory, remarking that “since the mathematicians have invaded the theory of relativity I do not understand it myself anymore.” Yet Minkowski’s theory soon found wide acceptance among physicists, including eventually Einstein himself, whose conversion to Minkowski’s way of thinking was engendered by the realization that he could profitably employ it for the formulation of his new theory of gravity. The validity of Minkowski’s mathematical “merging” of space and time has rarely been questioned by either physicists or philosophers since Einstein incorporated it into his theory of gravity. Physicists often employ Minkowski spacetime with little regard to the whether it provides a true account of the physical world as opposed to a useful mathematical tool in the theory of relativity. Philosophers sometimes treat the philosophy of space and time as if it were a mere appendix to Minkowski’s theory. In this critical study, Joseph Cosgrove subjects the concept of spacetime to a comprehensive examination and concludes that Einstein’s initial assessment of Minkowksi was essentially correct.


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