Relativity In Curved Spacetime


Relativity In Curved Spacetime
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Relativity In Curved Spacetime


Relativity In Curved Spacetime
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Author : Eric Baird
language : en
Publisher: Chocolate Tree Books
Release Date : 2007

Relativity In Curved Spacetime written by Eric Baird and has been published by Chocolate Tree Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Science categories.


Relativity theory has become one of the icons of Twentieth Century science. It's reckoned to be a difficult subject, taught as a layered series of increasingly difficult mathematics and increasingly abstract concepts. We're told that relativity theory is supposed to be this complicated and counter-intuitive. But how much of this historical complexity is really necessary? Can we bypass the interpretations and paradoxes and pseudoparadoxes of Einstein's special theory and jump directly to a deeper and more intuitive description of reality? What if curvature is a fundamental part of physics, and a final theory of relativity shouldn't reduce to Einstein's "flat" 1905 theory //on principle//? "Relativity..." takes us on a whistlestop tour of Twentieth Century physics - from black holes, quantum mechanics, wormholes and the Big Bang to the workings of the human mind, and asks: what would physics look like without special relativity? 394 printed pages, 234156 mm, 200 figures and illustrations, includes bibliography and index www.relativitybook.com



Flat And Curved Space Times


Flat And Curved Space Times
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Author : George Francis Rayner Ellis
language : en
Publisher: Clarendon Press
Release Date : 2000

Flat And Curved Space Times written by George Francis Rayner Ellis and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.


This text explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and up-to-date information is provided on black holes, gravitational collapse, and cosmology.



Aspects Of Quantum Field Theory In Curved Spacetime


Aspects Of Quantum Field Theory In Curved Spacetime
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Author : Stephen A. Fulling
language : en
Publisher: Cambridge University Press
Release Date : 1989-08-24

Aspects Of Quantum Field Theory In Curved Spacetime written by Stephen A. Fulling and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-08-24 with Mathematics categories.


The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.



The Dirac Equation In Curved Spacetime


The Dirac Equation In Curved Spacetime
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Author : Peter Collas
language : en
Publisher:
Release Date : 2019

The Dirac Equation In Curved Spacetime written by Peter Collas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Dirac equation categories.


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.



The Dirac Equation In Curved Spacetime


The Dirac Equation In Curved Spacetime
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Author : Peter Collas
language : en
Publisher: Springer
Release Date : 2019-03-21

The Dirac Equation In Curved Spacetime written by Peter Collas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-21 with Science categories.


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.



Spacetime And Geometry


Spacetime And Geometry
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Author : Sean M. Carroll
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-08

Spacetime And Geometry written by Sean M. Carroll and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-08 with Science categories.


An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.



Broken Symmetry In Curved Spacetime And Gravity


Broken Symmetry In Curved Spacetime And Gravity
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Author : Charles D. Lane
language : en
Publisher: MDPI
Release Date : 2020-11-13

Broken Symmetry In Curved Spacetime And Gravity written by Charles D. Lane and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-13 with Science categories.


This book contains several recent articles written about broken spacetime symmetry. The context is curved spacetime as used in General Relativity and the broken symmetry most discussed is Local Lorentz Symmetry. While there is currently no experimental evidence for broken Lorentz symmetry in nature, it is an object of great study from theoretical, phenomenological, and experimental perspectives. All three appear in this volume. There are three review articles in this volume: Fabian Kislat summarizes astrophysical probes of Lorentz violation, especially those using polarized light; Michael Seifert discusses a particular limit of the Standard-Model Extension that is useful for relating theoretical and experimental ideas; and Marco Schreck describes circumstances under which gravitational Cerenkov radiation could arise from Lorentz violation. The other three articles focus more on original research: Charles Lane and Quentin Bailey relate a particular theory of noncommutative geometry to the curved-spacetime Standard-Model Extension; Yuri Bonder and Christobal Corral consider the existence of spacetime symmetries in models with explicit Lorentz violation; and Pawel Gusin et al. study a spacetime transformation that relates the inside and outside of a nonrotating black hole.



Quantum Field Theory In Curved Spacetime And Black Hole Thermodynamics


Quantum Field Theory In Curved Spacetime And Black Hole Thermodynamics
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Author : Robert M. Wald
language : en
Publisher: University of Chicago Press
Release Date : 1994-11-15

Quantum Field Theory In Curved Spacetime And Black Hole Thermodynamics written by Robert M. Wald and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-11-15 with Science categories.


In this book, Robert Wald provides a coherent, pedagogical introduction to the formulation of quantum field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional quantum harmonic oscillator, progresses through the construction of quantum field theory in flat spacetime to possible constructions of quantum field theory in curved spacetime, and, ultimately, to an algebraic formulation of the theory. In his presentation, Wald disentangles essential features of the theory from inessential ones (such as a particle interpretation) and clarifies relationships between various approaches to the formulation of the theory. He also provides a comprehensive, up-to-date account of the Unruh effect, the Hawking effect, and some of its ramifications. In particular, the subject of black hole thermodynamics, which remains an active area of research, is treated in depth. This book will be accessible to students and researchers who have had introductory courses in general relativity and quantum field theory, and will be of interest to scientists in general relativity and related fields.



Classical Measurements In Curved Space Times


Classical Measurements In Curved Space Times
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Author : Fernando de Felice
language : en
Publisher: Cambridge University Press
Release Date : 2010-07-29

Classical Measurements In Curved Space Times written by Fernando de Felice and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-29 with Science categories.


The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.



Relativity And The Nature Of Spacetime


Relativity And The Nature Of Spacetime
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Author : Vesselin Petkov
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-23

Relativity And The Nature Of Spacetime written by Vesselin Petkov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-23 with Science categories.


Puts the emphasis on conceptual questions: Why is there no such thing as absolute motion? What is the physical meaning of relativity of simultaneity? But, the most important question that is addressed in this book is "what is the nature of spacetime?" or, equivalently, "what is the dimensionality of the world at the macroscopic level?" Develops answers to these questions via a thorough analysis of relativistic effects and explicitly asking whether the objects involved in those effects are three-dimensional or four-dimensional. Discusses the implication of the result (this analysis clearly shows that if the world and the physical objects were three-dimensional, none of the kinematic relativistic effects and the experimental evidence supporting them would be possible) for physics, philosophy, and our entire world view are discussed.