relativity special general and cosmological

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Essential Relativity

Author : W. Rindler
ISBN : 9781475711356
Genre : Science
File Size : 78. 57 MB
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This book is an attempt to bring the full range of relativity theory within reach of advanced undergraduates, while containing enough new material and simplifications of old arguments so as not to bore the expert teacher. Roughly equal coverage is given tospecial relativity, general relativity, and cosmology. With many judicious omissions it can be taught in one semester, but it would better serve as the basis of a year's work. It is my hope, anyway, that its level and style of presentation may appeal also to wider c1asses of readers unrestricted by credit considerations. General relativity, the modern theory of gravitation in which free particles move along "straightest possible" lines in curved spacetime, and cosmology, with its dynamics for the whole possibly curved uni verse, not only seem necessary for a scientist's balanced view of the world, but offer some of the greatest intellectual thrills of modern physics. Nevertheless, considered luxuries, they are usu ally squeezed out of the graduate curriculum by the pressure of specialization. Special relativity escapes this tag with a ven geance, and tends to be taught as a pure service discipline, with too little emphasis on its startling ideas. What better time, there fore, to enjoy these subjects for their own sake than as an und- v vi PREFACE graduate? In spite of its forbidding mathematical reputation, even general relativity is accessible at that stage.

Relativity

Author : Wolfgang Rindler
ISBN : 9780198508359
Genre : Science
File Size : 46. 23 MB
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'... it would be an excellent basis for work in general relativity and cosmology... a first class presentation of the intellectual glory of the first century of relativity.' Times Higher Education SupplementThis book is a considerable amplification and modernisation of the authors' earlier Essential Relativity. It aims to bring the challenge and excitement of modern relativity and cosmology at rigourous mathematical level within reach of advanced undergraduates and beginning graduates, while containing enough new material to interest the experienced lecturer.

Cosmological Relativity

Author : Moshe Carmeli
ISBN : 9789812700759
Genre : Science
File Size : 58. 33 MB
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"In this chapter cosmological special relativity is extended to five dimensions by adding time to the three spatial dimensions and the velocity of the Hubble expansion. As a consequence of this extension, equations of electrodynamics are considered through the extended skew-symmetric tensor, in which a new field is included along with the electric and magnetic fields. This new field is due to the Higgs interaction associated with the expansion of the Universe. It is unified with the electromagnetic interaction in the frame of cosmology. The field equations are developed in five dimensions. In addition to the well-known Maxwell equations new equations that describe the mix-up of different fields are obtained."--Publisher's website.

Essential Relativity

Author : Wolfgang Rindler
ISBN : OCLC:251914519
Genre :
File Size : 54. 30 MB
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General Relativity And Cosmology

Author : SUSHIL KUMAR SRIVASTAVA
ISBN : 812033437X
Genre : Science
File Size : 30. 71 MB
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The general theory of relativity and its applications to cosmology requires very deep understanding of mathematics and physics. Keeping this in mind, this self-contained textbook is written which addresses to general relativity and cosmology. In this book, the attempts have been made to explain mathematicians’ notions in the language of a physicist. Primarily intended for the postgraduate students of mathematics and physics, it gives equal importance to mathematical and physical aspects, and thus sharpens understanding of the theory. The text covers many modern concepts and current developments in gravity and cosmology including Brans-Dicke theory, higher-derivative gravity, Kaluza-Klein theory with extension to higher-dimensions. Besides PG students this book would also be useful for research scholars. KEY FEATURES  Highlights special features of general relativity and cosmology.  Discusses structure formation in the universe, inflationary models and dark energy models with special focus on basic concepts.  Provides problems at the end of each chapter to stimulate thinking.  Reveals interconnections between required mathematical concepts.  Explains “how to apply mathematical concepts to physical problems”.  Discusses lagrangian formulation of the field theory and action principle as it provides a powerful tool to derive field equations and energy-momentum tensor components.

Relativity Gravitation And Cosmology

Author : Robert J. Lambourne
ISBN : 0521131383
Genre : Science
File Size : 43. 23 MB
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The textbook introduces students to basic geometric concepts, such as metrics, connections and curvature, before examining general relativity in more detail. It shows the observational evidence supporting the theory, and the description general relativity provides of black holes and cosmological spacetimes. --

Cosmological Special Relativity

Author : Moshe Carmeli
ISBN : 9789814488679
Genre : Science
File Size : 30. 33 MB
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This book presents Einstein's theory of space and time in detail, and describes the large-scale structure of space, time and velocity as a new cosmological special relativity. A cosmological Lorentz-like transformation, which relates events at different cosmic times, is derived and applied. A new law of addition of cosmic times is obtained, and the inflation of the space at the early universe is derived, both from the cosmological transformation. The relationship between cosmic velocity, acceleration and distances is given. In the appendices gravitation is added in the form of a cosmological general relativity theory and a five-dimensional unified theory of space, time and velocity. This book is of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians. Contents: Cosmological Special RelativityExtension of the Lorentz Group to CosmologyFundamentals of Einstein's Special RelativityStructure of Space-TimeThe Light ConeMass, Energy and MomentumVelocity, Acceleration and Cosmic DistancesFirst Days of the UniverseCosmological General RelativityFive-Dimensional Brane World TheoryCosmic Temperature Decline Readership: Astrophysicists, cosmologists, theoretical physicists and mathematical physicists. Keywords:Cosmological Special Relativity;Cosmological Transformation;The Galaxy Cone;Minimal Acceleration in Nature;Fundamentals of Einstein's Special Relativity;Structure of Spacetime;Mass, Energy and Momentum;Relation and Difference Between Einstein's Special Relativity and Cosmological Special Relativity;First Days of the Universe;Cosmological General Relativity;Five-Dimensional Brane World Theory;Cosmological ConstantReviews:“‘Cosmological Special Relativity’ is a remarkable achievement. It elegantly brings together the basic ideas of Einstein's Special and General Theories of Relativity with the group theoretical approach to cosmology which was recently developed by Prof Carmeli.”Shimon Malin Colgate University, USA “In this skillfully written monograph, cardinal problems of nowadays cosmology are discussed in a new unusual way and successfully solved in the framework of the author's new theory. Owing to the very clear pedagogical language and to the carefully selected examples, tables and figures the book may be recommended for students and searchers in cosmology and related areas.”Mark Israelit University of Haifa-Oranim, Israel From a review of the first edition: “The book is written in a very clear and pedagogical way, and emphasis is placed on conceptual rather than on formal developments. Some of its chapters constitute in their own right an excellent introductory text on special relativity.”Mathematical Reviews

Relativity Thermodynamics And Cosmology

Author : Richard Chace Tolman
ISBN : 9780486653839
Genre : Science
File Size : 69. 96 MB
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Landmark study discusses Einstein's theory, extends thermodynamics to special and general relativity, and also develops the applications of relativistic mechanics and thermodynamics to cosmological models.

An Introduction To General Relativity And Cosmology

Author : Jerzy Plebanski
ISBN : 9781139458405
Genre : Science
File Size : 55. 59 MB
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General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.

Introduction To General Relativity Black Holes And Cosmology

Author : Yvonne Choquet-Bruhat
ISBN : 9780199666461
Genre : Science
File Size : 51. 42 MB
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General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students interested in exact mathematical formulations (or for anyone with a scientific mind who is curious to know more of the world we live in), recent remarkable experimental and observational results which confirm the theory are clearly described and no specialised physics knowledge is required. The mathematical level of Part A is aimed at undergraduate students and could be the basis for a course on General Relativity. Part B is more advanced, but still does not require sophisticated mathematics. Based on Yvonne Choquet-Bruhat's more advanced text, General Relativity and the Einstein Equations, the aim of this book is to give with precision, but as simply as possible, the foundations and main consequences of General Relativity. The first five chapters from General Relativity and the Einstein Equations have been updated with new sections and chapters on black holes, gravitational waves, singularities, and the Reissner-Nordstrom and interior Schwarzchild solutions. The rigour behind this book will provide readers with the perfect preparation to follow the great mathematical progress in the actual development, as well as the ability to model, the latest astrophysical and cosmological observations. The book presents basic General Relativity and provides a basis for understanding and using the fundamental theory.

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