Structures In The Universe By Exact Methods
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Structures In The Universe By Exact Methods
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Author : Krzysztof Bolejko
language : en
Publisher: Cambridge University Press
Release Date : 2010
Structures In The Universe By Exact Methods written by Krzysztof Bolejko 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 with Science categories.
Reviews developments in applications of inhomogeneous models to cosmology, for graduate students and academic researchers in astrophysics.
The Large Scale Structure Of Space Time
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Author : Stephen W. Hawking
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-16
The Large Scale Structure Of Space Time written by Stephen W. Hawking 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 2023-02-16 with Science categories.
First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.
Structures In The Universe By Exact Methods
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Author :
language : en
Publisher:
Release Date : 2010
Structures In The Universe By Exact Methods written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Cosmology categories.
As the structures in our Universe are mapped out on ever larger scales, and with increasing detail, the use of inhomogeneous models is becoming an essential tool for analyzing and understanding them. This book reviews a number of important developments in the application of inhomogeneous solutions of Einstein's field equations to cosmology. It shows how inhomogeneous models can be employed to study the evolution of structures such as galaxy clusters and galaxies with central black holes, and to account for cosmological observations like supernovae dimming, the cosmic microwave background, baryon acoustic oscillations or the dependence of the Hubble parameter on redshift within classical general relativity. Whatever `dark matter' and `dark energy' turn out to be, inhomogeneities exist on many scales and need to be investigated with all appropriate methods. This book is of great value to all astrophysicists and researchers working in cosmology, from graduate students to academic researchers.
Causality Measurement Theory And The Differentiable Structure Of Space Time
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Author : R. N. Sen
language : en
Publisher: Cambridge University Press
Release Date : 2010-02-11
Causality Measurement Theory And The Differentiable Structure Of Space Time written by R. N. Sen 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 2010-02-11 with Science categories.
Introducing graduate students and researchers to mathematical physics, this book discusses two recent developments: the demonstration that causality can be defined on discrete space-times; and Sewell's measurement theory, in which the wave packet is reduced without recourse to the observer's conscious ego, nonlinearities or interaction with the rest of the universe. The definition of causality on a discrete space-time assumes that space-time is made up of geometrical points. Using Sewell's measurement theory, the author concludes that the notion of geometrical points is as meaningful in quantum mechanics as it is in classical mechanics, and that it is impossible to tell whether the differential calculus is a discovery or an invention. Providing a mathematical discourse on the relation between theoretical and experimental physics, the book gives detailed accounts of the mathematically difficult measurement theories of von Neumann and Sewell.
Conformal Methods In General Relativity
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Author : Juan A. Valiente Kroon
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-09
Conformal Methods In General Relativity written by Juan A. Valiente Kroon 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 2023-02-09 with Science categories.
This 2016 volume, now reissued as OA, shows how conformal methods can be used to study Einstein's theory of gravity.
Boundary Conformal Field Theory And The Worldsheet Approach To D Branes
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Author : Andreas Recknagel
language : en
Publisher: Cambridge University Press
Release Date : 2013-11-28
Boundary Conformal Field Theory And The Worldsheet Approach To D Branes written by Andreas Recknagel 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 2013-11-28 with Science categories.
Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest to graduate students and researchers in physics and mathematics.
Tau Functions And Their Applications
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Author : John Harnad
language : en
Publisher: Cambridge University Press
Release Date : 2021-02-04
Tau Functions And Their Applications written by John Harnad 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 2021-02-04 with Mathematics categories.
A thorough introduction to tau functions, from the basics through to the most recent results, with applications in mathematical physics.
Classical Solutions In Quantum Field Theory
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Author : Erick J. Weinberg
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-16
Classical Solutions In Quantum Field Theory written by Erick J. Weinberg 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 2012-08-16 with Science categories.
Classical solutions play an important role in quantum field theory, high-energy physics and cosmology. Real-time soliton solutions give rise to particles, such as magnetic monopoles, and extended structures, such as domain walls and cosmic strings, that have implications for early universe cosmology. Imaginary-time Euclidean instantons are responsible for important nonperturbative effects, while Euclidean bounce solutions govern transitions between metastable states. Written for advanced graduate students and researchers in elementary particle physics, cosmology and related fields, this book brings the reader up to the level of current research in the field. The first half of the book discusses the most important classes of solitons: kinks, vortices and magnetic monopoles. The cosmological and observational constraints on these are covered, as are more formal aspects, including BPS solitons and their connection with supersymmetry. The second half is devoted to Euclidean solutions, with particular emphasis on Yang–Mills instantons and on bounce solutions.
Mathematics Of Quantization And Quantum Fields
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Author : Jan Dereziński
language : en
Publisher: Cambridge University Press
Release Date : 2023-02-09
Mathematics Of Quantization And Quantum Fields written by Jan Dereziński 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 2023-02-09 with Science categories.
This 2013 book, now OA, offers a definitive review of mathematical aspects of quantization and quantum field theory.
An Introduction To General Relativity And Cosmology
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Author : Jerzy Plebanski
language : en
Publisher: Cambridge University Press
Release Date : 2024-05-31
An Introduction To General Relativity And Cosmology written by Jerzy Plebanski 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 2024-05-31 with Science categories.
Experts Plebański and Krasiński provide a thorough introduction to the tools of general relativity and relativistic cosmology. Assuming familiarity with advanced calculus, classical mechanics, electrodynamics and special relativity, the text begins with a short course on differential geometry, taking a unique top-down approach. Starting with general manifolds on which only tensors are defined, the covariant derivative and affine connection are introduced before moving on to geodesics and curvature. Only then is the metric tensor and the (pseudo)-Riemannian geometry introduced, specialising the general results to this case. The main text describes relativity as a physical theory, with applications to astrophysics and cosmology. It takes the reader beyond traditional courses on relativity through in-depth descriptions of inhomogeneous cosmological models and the Kerr metric. Emphasis is given to complete and clear derivations of the results, enabling readers to access research articles published in relativity journals.