Cosmological Special Relativity

Cosmological Special Relativity

Author: Moshe Carmeli

Publisher: World Scientific

Published: 2002

Total Pages: 225

ISBN-13: 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

Published: 2006-04-06

Total Pages: 447

ISBN-13: 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.


Einstein's General Theory of Relativity

Einstein's General Theory of Relativity

Author: Brian P. Dolan

Publisher: Cambridge University Press

Published: 2023-06-30

Total Pages: 215

ISBN-13: 1009263714

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Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.


Relativity, Thermodynamics, and Cosmology

Relativity, Thermodynamics, and Cosmology

Author: Richard Chace Tolman

Publisher: Courier Corporation

Published: 1987-01-01

Total Pages: 532

ISBN-13: 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.


Special Relativity, Electrodynamics, and General Relativity

Special Relativity, Electrodynamics, and General Relativity

Author: John B. Kogut

Publisher: Academic Press

Published: 2018-01-09

Total Pages: 456

ISBN-13: 0128137215

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Special Relativity, Electrodynamics, and General Relativity: From Newton to Einstein is intended to teach students of physics, astrophysics, astronomy, and cosmology how to think about special and general relativity in a fundamental but accessible way. Designed to render any reader a "master of relativity, all material on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. - Fully revised and expanded second edition with improved figures - Enlarged discussion of dynamics and the relativistic version of Newton's second law - Resolves the twin paradox from the principles of special and general relativity - Includes new chapters which derive magnetism from relativity and electrostatics - Derives Maxwell's equations from Gauss' law and the principles of special relativity - Includes new chapters on differential geometry, space-time curvature, and the field equations of general relativity - Introduces black holes and gravitational waves as illustrations of the principles of general relativity and relates them to the 2015 and 2017 observational discoveries of LIGO


Relativistic Cosmology

Relativistic Cosmology

Author: George F. R. Ellis

Publisher: Cambridge University Press

Published: 2012-03-22

Total Pages: 637

ISBN-13: 0521381150

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Surveying key developments and open issues in cosmology for graduate students and researchers, this book focuses on the general concepts and relations that underpin the standard model of the Universe. It also examines anisotropic and inhomogeneous models, and deeper issues, such as quantum cosmology and the multiverse proposal.


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

Published: 2006-10-09

Total Pages: 151

ISBN-13: 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 Science & Business Media

Published: 2012-12-06

Total Pages: 299

ISBN-13: 3642866506

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In retrospect, the first edition of this book now seems like a mere sketch for a book. The present version is, if not the final product, at least a closer approximation to it. The table of contents may show little change. But that is simply because the original organization of the material has been found satisfactory. Also the basic purpose of the book remains the same, and that is to make relativity come alive conceptually. I have always felt much sym pathy with Richard Courant's maxim (as reported and exemplified by Pascual Jordan) that, ideally, proofs should be reached by comprehension rather than computation. Where computations are necessary, I have tried to make them as transparent as possible, so as not to hinder the progress of comprehension. Among the more obvious changes, this edition contains a new section on Kruskal space, another on the plane gravitational wave, and a third on linearized general relativity; it also contains many new exercises, and two appendices: one listing the curvature components for the diagonal metric (in a little more generality than the old" Dingle formulas "), and one syn thesizing Maxwell's theory in tensor form. But the most significant changes and additions have occurred throughout the text. Many sections have been completely rewritten, many arguments tightened, many "asides" added, and, of course, recent developments taken into account.


Relativity, Gravitation and Cosmology

Relativity, Gravitation and Cosmology

Author: Robert J. Lambourne

Publisher: Cambridge University Press

Published: 2010-06

Total Pages: 316

ISBN-13: 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. --


Special Relativity

Special Relativity

Author: Sadri Hassani

Publisher: Elsevier

Published: 2017-05-09

Total Pages: 382

ISBN-13: 0128104244

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Special Relativity: A Heuristic Approach provides a qualitative exposition of relativity theory on the basis of the constancy of the speed of light. Using Einstein's signal velocity as the defining idea for the notion of simultaneity and the fact that the speed of light is independent of the motion of its source, chapters delve into a qualitative exposition of the relativity of time and length, discuss the time dilation formula using the standard light clock, explore the Minkowski four-dimensional space-time distance based on how the time dilation formula is derived, and define the components of the two-dimensional space-time velocity, amongst other topics. - Provides a heuristic derivation of the Minkowski distance formula - Uses relativistic photography to see Lorentz transformation and vector algebra manipulation in action - Includes worked examples to elucidate and complement the topic being discussed - Written in a very accessible style