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The Einstein Hilbert Lagrangian Density In A 2 Dimensional Spacetime Is An Exact Differential


The Einstein Hilbert Lagrangian Density In A 2 Dimensional Spacetime Is An Exact Differential
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The Einstein Hilbert Lagrangian Density In A 2 Dimensional Spacetime Is An Exact Differential


The Einstein Hilbert Lagrangian Density In A 2 Dimensional Spacetime Is An Exact Differential
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Author : R. da Rocha
language : en
Publisher:
Release Date : 2005

The Einstein Hilbert Lagrangian Density In A 2 Dimensional Spacetime Is An Exact Differential written by R. da Rocha and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Clifford algebras categories.




The Many Faces Of Maxwell Dirac And Einstein Equations


The Many Faces Of Maxwell Dirac And Einstein Equations
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Author : Waldyr A. Rodrigues, Jr
language : en
Publisher: Springer
Release Date : 2016-04-26

The Many Faces Of Maxwell Dirac And Einstein Equations written by Waldyr A. Rodrigues, Jr and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-26 with Science categories.


This book is an exposition of the algebra and calculus of differential forms, of the Clifford and Spin-Clifford bundle formalisms, and of vistas to a formulation of important concepts of differential geometry indispensable for an in-depth understanding of space-time physics. The formalism discloses the hidden geometrical nature of spinor fields. Maxwell, Dirac and Einstein fields are shown to have representatives by objects of the same mathematical nature, namely sections of an appropriate Clifford bundle. This approach reveals unity in diversity and suggests relationships that are hidden in the standard formalisms and opens new paths for research. This thoroughly revised second edition also adds three new chapters: on the Clifford bundle approach to the Riemannian or semi-Riemannian differential geometry of branes; on Komar currents in the context of the General Relativity theory; and an analysis of the similarities and main differences between Dirac, Majorana and ELKO spinor fields. The exercises with solutions, the comprehensive list of mathematical symbols, and the list of acronyms and abbreviations are provided for self-study for students as well as for classes. From the reviews of the first edition: “The text is written in a very readable manner and is complemented with plenty of worked-out exercises which are in the style of extended examples. ... their book could also serve as a textbook for graduate students in physics or mathematics." (Alberto Molgado, Mathematical Reviews, 2008 k)



The Many Faces Of Maxwell Dirac And Einstein Equations


The Many Faces Of Maxwell Dirac And Einstein Equations
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Author : Waldyr A. Rodrigues
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-03

The Many Faces Of Maxwell Dirac And Einstein Equations written by Waldyr A. Rodrigues 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 2007-07-03 with Mathematics categories.


This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories. All calculation procedures are illustrated by many exercises that are solved in detail.



Morse Decomposition Of Semiflows On Topological Spaces


Morse Decomposition Of Semiflows On Topological Spaces
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Author : Mauro Patrão
language : en
Publisher:
Release Date : 2005

Morse Decomposition Of Semiflows On Topological Spaces written by Mauro Patrão and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Compact spaces categories.




Morse Decomposition Of Semiflows On Fiber Bundles


Morse Decomposition Of Semiflows On Fiber Bundles
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Author : Mauro Patrão
language : en
Publisher:
Release Date : 2005

Morse Decomposition Of Semiflows On Fiber Bundles written by Mauro Patrão and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Fiber bundles (Mathematics) categories.




The Art Of Gluing Space Time Manifolds


The Art Of Gluing Space Time Manifolds
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Author : Samad Khakshournia
language : en
Publisher: Springer Nature
Release Date : 2023-12-19

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 2023-12-19 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.



Theory Of Gravitational Interactions


Theory Of Gravitational Interactions
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Author : Maurizio Gasperini
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-01-26

Theory Of Gravitational Interactions written by Maurizio Gasperini 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 2013-01-26 with Science categories.


This reference textbook is an up-to-date and self-contained introduction to the theory of gravitational interactions. The first part of the book follows the traditional presentation of general relativity as a geometric theory of the macroscopic gravitational field. A second, advanced part then discusses the deep analogies (and differences) between a geometric theory of gravity and the gauge theories of the other fundamental interactions. This fills a gap which is present in the context of the traditional approach to general relativity, and which usually makes students puzzled about the role of gravity. The necessary notions of differential geometry are reduced to the minimum, leaving more room for those aspects of gravitational physics of current phenomenological and theoretical interest, such as the properties of gravitational waves, the gravitational interactions of spinors, and the supersymmetric generalization of the Einstein equations. Theory of Gravitational Interactions will be of particular value to undergraduate students pursuing a theoretical or astroparticle curriculum. It can also be used by those teaching related subjects, by PhD students and young researchers working in different scientific sectors but wishing to enlarge their spectrum of interests, and, in general, by all scholars interested in the modern aspects and problems of gravitational interaction.



X Marks The Spot


X Marks The Spot
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Author : Richard Garfinkle
language : en
Publisher: CRC Press
Release Date : 2021-02-05

X Marks The Spot written by Richard Garfinkle and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-05 with Mathematics categories.


X Marks the Spot is written from the point of view of the users of mathematics. Since the beginning, mathematical concepts and techniques (such as arithmetic and geometry) were created as tools with a particular purpose like counting sheep and measuring land areas. Understanding those purposes leads to a greater understanding of why mathematics developed as it did. Later mathematical concepts came from a process of abstracting and generalizing earlier mathematics. This process of abstraction is very powerful, but often comes at the price of intuition and understanding. This book strives to give a guided tour of the development of various branches of mathematics (and what they’re used for) that will give the reader this intuitive understanding. Features Treats mathematical techniques as tools, and areas of mathematics as the result of abstracting and generalizing earlier mathematical tools Written in a relaxed conversational and occasionally humorous style making it easy to follow even when discussing esoterica. Unravels how mathematicians think, demystifying math and connecting it to the ways non-mathematicians think and connecting math to people’s lives Discusses how math education can be improved in order to prevent future generations from being turned off by math.



Differential Geometry Of Lightlike Submanifolds


Differential Geometry Of Lightlike Submanifolds
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Author : Krishan L. Duggal
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-02

Differential Geometry Of Lightlike Submanifolds written by Krishan L. Duggal 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 2011-02-02 with Mathematics categories.


This book presents research on the latest developments in differential geometry of lightlike (degenerate) subspaces. The main focus is on hypersurfaces and a variety of submanifolds of indefinite Kählerian, Sasakian and quaternion Kähler manifolds.



Einstein Gravity In A Nutshell


Einstein Gravity In A Nutshell
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Author : Anthony Zee
language : en
Publisher: Princeton University Press
Release Date : 2013-05-05

Einstein Gravity In A Nutshell written by Anthony Zee and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-05 with Science categories.


An ideal introduction to Einstein's general theory of relativity This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers)