Spacetime And Geometry
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Spacetime And Geometry
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Author : Sean Carroll
language : en
Publisher: Addison-Wesley
Release Date : 2004
Spacetime And Geometry written by Sean Carroll and has been published by Addison-Wesley this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Science categories.
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Spacetime And Geometry
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Author : Lawrence C. Shepley
language : en
Publisher:
Release Date : 1982
Spacetime And Geometry written by Lawrence C. Shepley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Mathematics categories.
Why is the universe so symmetrical? / Dennis Sciama -- Null congruences and Plebanski-Schild spaces / Ivor Robinson -- Linearization stability / Dieter Brill -- Nonlinear model field theories based on harmonic mappings / Charles W. Misner -- Gravitational fields in general relativity / Roy F. Kerr -- On the potential barriers surrounding the Schwarzschild black hole / S. Chandrasekhar -- The initial value problem and beyond / James W. York, Jr. and Tsvi Piran.
Spacetime And Geometry
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Author : Sean Carroll
language : en
Publisher:
Release Date : 2013-08
Spacetime And Geometry written by Sean Carroll and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08 with Science categories.
Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity for advanced undergraduates and graduate students. It introduces modern techniques and an accessible and lively writing style to what can often be a formal and intimidating subject. Readers are led from physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. Subtle points are illuminated throughout the text by careful and entertaining exposition. A straightforward and lucid approach, balancing mathematical rigor and physical insight, are hallmarks of this important text.
Spacetime Geometry And Gravitation
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Author : Pankaj Sharan
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-09-18
Spacetime Geometry And Gravitation written by Pankaj Sharan 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 2009-09-18 with Mathematics categories.
This introductory textbook on the general theory of relativity presents a solid foundation for those who want to learn about relativity. The subject is presented in a physically intuitive, but mathematically rigorous style. The topic of relativity is covered in a broad and deep manner. Besides, the aim is that after reading the book a student should not feel discouraged when she opens advanced texts on general relativity for further reading. The book consists of three parts: An introduction to the general theory of relativity. Geometrical mathematical background material. Topics that include the action principle, weak gravitational fields and gravitational waves, Schwarzschild and Kerr solution, and the Friedman equation in cosmology. The book is suitable for advanced graduates and graduates, but also for established researchers wishing to be educated about the field.
The Geometry Of Spacetime
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Author : James J. Callahan
language : en
Publisher: Springer Science & Business Media
Release Date : 2000
The Geometry Of Spacetime written by James J. Callahan 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 2000 with Computers categories.
Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.
Spacetime Geometry Cosmology
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Author : William L. Burke
language : en
Publisher: Courier Dover Publications
Release Date : 2020-12-16
Spacetime Geometry Cosmology written by William L. Burke and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-16 with Science categories.
Novel interpretation of the relationship between space, time, gravitation, and their cosmological implications; based on author's discovery of a value in gravitation overlooked by both Newton and Einstein. 1982 edition.
Spacetime Geometry Of Relativity Extending Pythagorean Theorem
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Author : Takashi Kenjo
language : en
Publisher: World Scientific
Release Date : 2025-03-05
Spacetime Geometry Of Relativity Extending Pythagorean Theorem written by Takashi Kenjo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-05 with Science categories.
The theory of relativity was created by Einstein in two stages, extending over a decade from 1905 to 1915. General relativity is said to be the most powerful tool that can be used to explain the behavior of the universe.In this book, we try to comprehend the universe with a fundamental formula known as the Pythagorean theorem, used as a vehicle to review the essence of Euclidean geometry and non-Euclidean geometry, then move on to Newtonian mechanics, and review the historical development of electromagnetism, setting the stage for special relativity. Next, we describe Einstein's efforts to generalize his theory to include gravitation, which led to a geometric theory of spacetime: the gravitational field equations. The German astronomer Schwarzschild quickly solved these equations for a special case. Also presented are the numerical graphical results of the planetary orbits and light trajectories using the Python code that we created. Then the reader is taken on an excursion to the physics of the microcosm, describing how special relativity was instrumental in the development of quantum theory, and how several Japanese physicists contributed to atomic and particle physics. Finally, we end the book by introducing the work of Roger Penrose on black holes, which is closely related to Schwarzschild's solution, and the existence of intrinsic singularity at the center of black holes. In his intriguing theory of Conformal Cyclic Cosmology, our universe may be one in a never-ending birth-and-death cycle of universes.
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.
The Geometry Of Spacetime
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Author : Rainer Oloff
language : en
Publisher: Springer Nature
Release Date : 2023-04-21
The Geometry Of Spacetime written by Rainer Oloff and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-21 with Science categories.
This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail. The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.
The Geometry Of Minkowski Spacetime
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Author : Gregory L. Naber
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-02
The Geometry Of Minkowski Spacetime written by Gregory L. Naber 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 2012-02-02 with Mathematics categories.
This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics. It treats, in addition to the usual menu of topics one is accustomed to finding in introductions to special relativity, a wide variety of results of more contemporary origin. These include Zeeman’s characterization of the causal automorphisms of Minkowski spacetime, the Penrose theorem on the apparent shape of a relativistically moving sphere, a detailed introduction to the theory of spinors, a Petrov-type classification of electromagnetic fields in both tensor and spinor form, a topology for Minkowski spacetime whose homeomorphism group is essentially the Lorentz group, and a careful discussion of Dirac’s famous Scissors Problem and its relation to the notion of a two-valued representation of the Lorentz group. This second edition includes a new chapter on the de Sitter universe which is intended to serve two purposes. The first is to provide a gentle prologue to the steps one must take to move beyond special relativity and adapt to the presence of gravitational fields that cannot be considered negligible. The second is to understand some of the basic features of a model of the empty universe that differs markedly from Minkowski spacetime, but may be recommended by recent astronomical observations suggesting that the expansion of our own universe is accelerating rather than slowing down. The treatment presumes only a knowledge of linear algebra in the first three chapters, a bit of real analysis in the fourth and, in two appendices, some elementary point-set topology. The first edition of the book received the 1993 CHOICE award for Outstanding Academic Title. Reviews of first edition: “... a valuable contribution to the pedagogical literature which will be enjoyed by all who delight in precise mathematics andphysics.” (American Mathematical Society, 1993) “Where many physics texts explain physical phenomena by means of mathematical models, here a rigorous and detailed mathematical development is accompanied by precise physical interpretations.” (CHOICE, 1993) “... his talent in choosing the most significant results and ordering them within the book can’t be denied. The reading of the book is, really, a pleasure.” (Dutch Mathematical Society, 1993)