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Cosmological Special Relativity

Cosmological Special Relativity
Author: Moshe Carmeli
Publisher: World Scientific
Total Pages: 225
Release: 2002
Genre: Science
ISBN: 9810249365

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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.


Relativity

Relativity
Author: Wolfgang Rindler
Publisher: Oxford University Press, USA
Total Pages: 447
Release: 2006-04-06
Genre: Science
ISBN: 0198567316

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This text brings the challenge and excitement of modern relativity and cosmology at rigorous mathematical level within reach of advanced undergraduates and beginning graduates.


Cosmological Special Relativity: Structure Of Space, Time And Velocity

Cosmological Special Relativity: Structure Of Space, Time And Velocity
Author: Moshe Carmeli
Publisher: World Scientific
Total Pages: 131
Release: 1997-09-15
Genre: Science
ISBN: 9814497614

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This book deals with special relativity theory and its application to cosmology. It 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 book will be of interest to cosmologists, astrophysicists, theoretical physicists, mathematical physicists and mathematicians.


Relativity

Relativity
Author: Moshe Carmeli
Publisher: World Scientific
Total Pages: 551
Release: 2008
Genre: Science
ISBN: 9812813756

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This book describes Carmeli's cosmological general and special relativity theory, along with Einstein's general and special relativity. These theories are discussed in the context of Moshe Carmeli's original research, in which velocity is introduced as an additional independent dimension. Four- and five-dimensional spaces are considered, and the five-dimensional braneworld theory is presented. The Tully-Fisher law is obtained directly from the theory, and thus it is found that there is no necessity to assume the existence of dark matter in the halo of galaxies, nor in galaxy clusters.The book gives the derivation of the Lorentz transformation, which is used in both Einstein's special relativity and Carmeli's cosmological special relativity theory. The text also provides the mathematical theory of curved space?time geometry, which is necessary to describe both Einstein's general relativity and Carmeli's cosmological general relativity. A comparison between the dynamical and kinematic aspects of the expansion of the universe is made. Comparison is also made between the Friedmann-Robertson-Walker theory and the Carmeli theory. And neither is it necessary to assume the existence of dark matter to correctly describe the expansion of the cosmos.


Relativity, Thermodynamics, and Cosmology

Relativity, Thermodynamics, and Cosmology
Author: Richard Chace Tolman
Publisher: Courier Corporation
Total Pages: 532
Release: 1987-01-01
Genre: Science
ISBN: 0486653838

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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.


Cosmological Relativity: The Special And General Theories For The Structure Of The Universe

Cosmological Relativity: The Special And General Theories For The Structure Of The Universe
Author: Moshe Carmeli
Publisher: World Scientific Publishing Company
Total Pages: 151
Release: 2006-10-09
Genre: Science
ISBN: 9813106840

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The theory presented in this book is a combination of Einstein's original special and general relativity, but now the starting point is not the propagation of light but the expansion of the Universe. The traditional Hubble constant H0 (which is not constant) is called in this book the Hubble parameter. Its value at low gravity is denoted by h, and its reciprocal is denoted by τ. Thus τ is the Big Bang time (some authors call it the Hubble-Carmeli constant). This is actually the only constant that appears in this theory, just as c is the only constant that appears in Einstein's theory. There is no cosmological constant but there is a critical mass density. The theory presents general relativity in the space-velocity (of the receding galaxies) which is later on extended to include the time dimension. So far all experimental findings are satisfied by this theory.


Essential Relativity

Essential Relativity
Author: W. Rindler
Publisher: Springer
Total Pages: 332
Release: 2013-04-17
Genre: Science
ISBN: 1475711352

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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.


Einstein's General Theory of Relativity

Einstein's General Theory of Relativity
Author: Øyvind Grøn
Publisher: Springer Science & Business Media
Total Pages: 540
Release: 2007-08-24
Genre: Science
ISBN: 0387692002

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This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.


Relativity

Relativity
Author: Wolfgang Rindler
Publisher: OUP Oxford
Total Pages: 448
Release: 2006-04-07
Genre: Science
ISBN: 0191524336

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Relativistic cosmology has in recent years become one of the most active and exciting branches of research, often considered to be today where particle physics was forty years ago, with major discoveries just waiting to happen. Consequently the part most affected by this second edition is the last part on cosmology. But there are additions, improvements, and new exercises throughout. _ The book's basic purpose is unchanged. It is to make relativity come alive conceptually, and to display the grand theoretical edifice that it is, with consequences in many branches of physics. The emphasis is on the foundations, on the logical subtleties, and on presenting the necessary mathematics - including differential geometry and tensors - but always as late and in as palatable a form as possible. Aided by over 300 exercises, the book seeks to promote an in-depth understanding, and the confidence to tackle any basic problem in relativity.


Relativity, Gravitation and Cosmology

Relativity, Gravitation and Cosmology
Author: Robert J. Lambourne
Publisher: Cambridge University Press
Total Pages: 316
Release: 2010-06
Genre: Science
ISBN: 9780521131384

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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. --