The Art Of Gluing Space Time Manifolds
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The Art Of Gluing Space Time Manifolds
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Author : Samad Khakshournia
language : en
Publisher: Springer Nature
Release Date : 2024-01-25
The Art Of Gluing Space Time Manifolds written by Samad Khakshournia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-25 with Science categories.
This concise book reviews methods used for gluing space-time manifolds together. It is therefore relevant to theorists working on branes, walls, domain walls, concepts frequently used in theoretical cosmology, astrophysics, and gravity theory. Nowadays, applications are also in theoretical condensed matter physics where Riemannian geometry appears. The book also reviews the history of matching conditions between two space-time manifolds from the early times of general relativity up to now.
Exotic Smoothness And Physics
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Author : Torsten Asselmeyer-Maluga
language : en
Publisher: World Scientific
Release Date : 2007
Exotic Smoothness And Physics written by Torsten Asselmeyer-Maluga and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
The recent revolution in differential topology related to the discovery of non-standard (OC exoticOCO) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies in the previously unexplored region between topology and geometry. Just as physical geometry was thought to be trivial before Einstein, physicists have continued to work under the tacit OCo but now shown to be incorrect OCo assumption that differentiability is uniquely determined by topology for simple four-manifolds. Since diffeomorphisms are the mathematical models for physical coordinate transformations, EinsteinOCOs relativity principle requires that these models be physically inequivalent. This book provides an introductory survey of some of the relevant mathematics and presents preliminary results and suggestions for further applications to spacetime models."
The Geometry Of Kerr Black Holes
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Author : Barrett O'Neill
language : en
Publisher: Courier Corporation
Release Date : 2014-01-15
The Geometry Of Kerr Black Holes written by Barrett O'Neill and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with Science categories.
Suitable for advanced undergraduates and graduate students of mathematics as well as for physicists, this unique monograph and self-contained treatment constitutes an introduction to modern techniques in differential geometry. 1995 edition.
Spacetime
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Author : Marcus Kriele
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-10-19
Spacetime written by Marcus Kriele 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 1999-10-19 with Mathematics categories.
This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.
A Non Manifold Theory Of Space Time
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Author : J. S. Mashford
language : en
Publisher:
Release Date : 1980
A Non Manifold Theory Of Space Time written by J. S. Mashford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Manifolds (Mathematics) categories.
Symmetries Of Spacetimes And Riemannian Manifolds
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Author : Krishan L. Duggal
language : en
Publisher:
Release Date : 1999
Symmetries Of Spacetimes And Riemannian Manifolds written by Krishan L. Duggal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Riemannian manifolds categories.
"Audience: Graduate students, post-doctoral students and faculty interested in differential geometry and/or general relativity."--Jacket.
Lumen Naturae
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Author : Matilde Marcolli
language : en
Publisher: MIT Press
Release Date : 2020-05-26
Lumen Naturae written by Matilde Marcolli and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-26 with Mathematics categories.
Exploring common themes in modern art, mathematics, and science, including the concept of space, the notion of randomness, and the shape of the cosmos. This is a book about art—and a book about mathematics and physics. In Lumen Naturae (the title refers to a purely immanent, non-supernatural form of enlightenment), mathematical physicist Matilde Marcolli explores common themes in modern art and modern science—the concept of space, the notion of randomness, the shape of the cosmos, and other puzzles of the universe—while mapping convergences with the work of such artists as Paul Cezanne, Mark Rothko, Sol LeWitt, and Lee Krasner. Her account, focusing on questions she has investigated in her own scientific work, is illustrated by more than two hundred color images of artworks by modern and contemporary artists. Thus Marcolli finds in still life paintings broad and deep philosophical reflections on space and time, and connects notions of space in mathematics to works by Paul Klee, Salvador Dalí, and others. She considers the relation of entropy and art and how notions of entropy have been expressed by such artists as Hans Arp and Fernand Léger; and traces the evolution of randomness as a mode of artistic expression. She analyzes the relation between graphical illustration and scientific text, and offers her own watercolor-decorated mathematical notebooks. Throughout, she balances discussions of science with explorations of art, using one to inform the other. (She employs some formal notation, which can easily be skipped by general readers.) Marcolli is not simply explaining art to scientists and science to artists; she charts unexpected interdependencies that illuminate the universe.
Groups And Manifolds
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Author : Pietro Giuseppe Fré
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-12-18
Groups And Manifolds written by Pietro Giuseppe Fré and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-18 with Science categories.
Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories. The core of the course is focused on the construction of simple Lie algebras, emphasizing the double interpretation of the ADE classification as applied to finite rotation groups and to simply laced simple Lie algebras. Unique features of this book are the full-fledged treatment of the exceptional Lie algebras and a rich collection of MATHEMATICA Notebooks implementing various group theoretical constructions.
Library Of Congress Subject Headings F O
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Author : Library of Congress. Subject Cataloging Division
language : en
Publisher:
Release Date : 1988
Library Of Congress Subject Headings F O written by Library of Congress. Subject Cataloging Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Subject headings, Library of Congress categories.
Library Of Congress Subject Headings
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Author : Library of Congress
language : en
Publisher:
Release Date : 1988
Library Of Congress Subject Headings written by Library of Congress and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Subject headings categories.