Homogeneous Relativistic Cosmologies

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Homogeneous Relativistic Cosmologies

Michael P. Ryan,Lawrence C. Shepley
Homogeneous Relativistic Cosmologies Book PDF

Author : Michael P. Ryan,Lawrence C. Shepley
Publisher : Princeton University Press
Page : 338 pages
File Size : 51,5 Mb
Release : 2015-03-08
Category : Science
ISBN : 9781400868568

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Homogeneous Relativistic Cosmologies by Michael P. Ryan,Lawrence C. Shepley Pdf

Addressing a variety of theoretical cosmological problems, and emphasizing a mathematical approach, this volume nicely complements Peebles' Physical Cosmology (Princeton Series in Physics, 1971). Ryan and Shepley have concentrated on the structure of models of the universe. By using a modern terminology that emphasizes the operator nature of vectors and tensors, as opposed to their components in a particular coordinate system, the authors develop modern tensor analysis to the point where it can be applied to general relativistic cosmology. They then use it to describe homogeneous cosmologies in considerable detail. Both students and researchers are likely to find these techniques especially useful. Among their subjects are: spaces with groups of motions; singularities; Taub-NUT-Misner space; Bianchitype models; Hamiltonian cosmology; and perturbations in anisotropic models. A brief section on observations is also included, as is a complete bibliography. A final section presents graded exercises that underscore the potential yet unrealized in this area of study. Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Relativistic Cosmology

George F. R. Ellis,Roy Maartens,Malcolm A. H. MacCallum
Relativistic Cosmology Book PDF

Author : George F. R. Ellis,Roy Maartens,Malcolm A. H. MacCallum
Publisher : Cambridge University Press
Page : 637 pages
File Size : 54,5 Mb
Release : 2012-03-22
Category : Science
ISBN : 9781139642958

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Relativistic Cosmology by George F. R. Ellis,Roy Maartens,Malcolm A. H. MacCallum Pdf

Cosmology has been transformed by dramatic progress in high-precision observations and theoretical modelling. This book surveys key developments and open issues for graduate students and researchers. Using a relativistic geometric approach, it focuses on the general concepts and relations that underpin the standard model of the Universe. Part I covers foundations of relativistic cosmology whilst Part II develops the dynamical and observational relations for all models of the Universe based on general relativity. Part III focuses on the standard model of cosmology, including inflation, dark matter, dark energy, perturbation theory, the cosmic microwave background, structure formation and gravitational lensing. It also examines modified gravity and inhomogeneity as possible alternatives to dark energy. Anisotropic and inhomogeneous models are described in Part IV, and Part V reviews deeper issues, such as quantum cosmology, the start of the universe and the multiverse proposal. Colour versions of some figures are available at www.cambridge.org/9780521381154.

Relativity, Thermodynamics, and Cosmology

Richard Chace Tolman
Relativity Thermodynamics and Cosmology Book PDF

Author : Richard Chace Tolman
Publisher : Courier Corporation
Page : 532 pages
File Size : 47,5 Mb
Release : 1987-01-01
Category : Science
ISBN : 9780486653839

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Relativity, Thermodynamics, and Cosmology by Richard Chace Tolman Pdf

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.

Relativity

Wolfgang Rindler
Relativity Book PDF

Author : Wolfgang Rindler
Publisher : Oxford University Press on Demand
Page : 447 pages
File Size : 47,5 Mb
Release : 2006-04-06
Category : Science
ISBN : 9780198567318

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Relativity by Wolfgang Rindler Pdf

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

Relativistic Astrophysics and Cosmology

Peter Hoyng
Relativistic Astrophysics and Cosmology Book PDF

Author : Peter Hoyng
Publisher : Springer Science & Business Media
Page : 295 pages
File Size : 42,9 Mb
Release : 2007-01-10
Category : Science
ISBN : 9781402045233

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Relativistic Astrophysics and Cosmology by Peter Hoyng Pdf

Relativistic Astrophysics and Cosmology offers a succinct and self-contained treatment of general relativity and its application to compact objects, gravitational waves and cosmology. The required mathematical concepts are introduced informally, following geometrical intuition as much as possible. The approach is theoretical, but there is ample discussion of observational aspects and of instrumental issues where appropriate. The book includes such topical issues as the Gravity Probe B mission, interferometer detectors of gravitational waves, and the physics behind the angular power spectrum of the cosmic microwave background (CMB). Written for advanced undergraduates and beginning graduate students in (astro)physics, it is ideally suited for a lecture course and contains 140 exercises with extensive hints. The reader is assumed to be familiar with linear algebra and analysis, ordinary differential equations, special relativity, and basic thermal physics.

Essential Relativity

Wolfgang Rindler
Essential Relativity Book PDF

Author : Wolfgang Rindler
Publisher : Springer
Page : 344 pages
File Size : 52,5 Mb
Release : 1977
Category : Science
ISBN : UOM:39015017213375

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Essential Relativity by Wolfgang Rindler Pdf

Relativistic cosmology has in recent years become one of the most exciting and active branches of current research. In conference after conference the view is expressed that cosmology today is where particle physics was forty years ago, with major discoveries just waiting to happen. Also gravitational wave detectors, presently under construction or in the testing phase, promise to open up an entirely novel field of physics. The book's basic purpose is to make relativity come alive conceptually. Hence the emphasis on the foundations and the logical subtleties rather than on the mathematics or the detailed experiments per se.

Relativistic Astrophysics, 2

I︠A︡kov Borisovich Zelʹdovich,I. D. Novikov
Relativistic Astrophysics 2 Book PDF

Author : I︠A︡kov Borisovich Zelʹdovich,I. D. Novikov
Publisher : University of Chicago Press
Page : 760 pages
File Size : 51,6 Mb
Release : 1971
Category : Science
ISBN : 0226979571

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Relativistic Astrophysics, 2 by I︠A︡kov Borisovich Zelʹdovich,I. D. Novikov Pdf

Though the kinematics of the evolving universe became known decades ago, research into the physics of processes occurring in the expanding universe received a reliable observational and theoretical basis only in more recent years. These achievements have led in turn to the emergence of new problems, on which an unusually active assault has begun. This second volume of Relativistic Astrophysics provides a remarkably complete picture of the present state of cosmology. It is a synthesis of the theoretical foundations of contemporary cosmology, which are derived from work in relativity, plasma theory, thermodynamics, hydrodynamics, and particle physics. It presents the theoretical work that explains, describes, and predicts the nature of the universe, the physical process that occur in it, the formation of galaxies, the synthesis of the light elements, and the cosmological singularity and the theory of gravitation. This book, long and eagerly awaited, is essential for everyone whose work is related to cosmology and astrophysics.

An Introduction to the Science of Cosmology

Derek Raine,E.G. Thomas
An Introduction to the Science of Cosmology Book PDF

Author : Derek Raine,E.G. Thomas
Publisher : CRC Press
Page : 232 pages
File Size : 55,9 Mb
Release : 2018-10-03
Category : Science
ISBN : 9781482268454

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An Introduction to the Science of Cosmology by Derek Raine,E.G. Thomas Pdf

A thorough introduction to modern ideas on cosmology and on the physical basis of the general theory of relativity, An Introduction to the Science of Cosmology explores various theories and ideas in big bang cosmology, providing insight into current problems. Assuming no previous knowledge of astronomy or cosmology, this book takes you beyond introductory texts to the point where you are able to read and appreciate the scientific literature, which is broadly referenced in the book. The authors present the standard big bang theory of the universe and provide an introduction to current inflationary cosmology, emphasizing the underlying physics without excessive technical detail. The book treats cosmological models without reliance on prior knowledge of general relativity, the necessary physics being introduced in the text as required. It also covers recent observational evidence pointing to an accelerating expansion of the universe. The first several chapters provide an introduction to the topics discussed later in the book. The next few chapters introduce relativistic cosmology and the classic observational tests. One chapter gives the main results of the hot big bang theory. Next, the book presents the inflationary model and discusses the problem of the origin of structure and the correspondingly more detailed tests of relativistic models. Finally, the book considers some general issues raised by expansion and isotropy. A reference section completes the work by listing essential formulae, symbols, and physical constants. Beyond the level of many elementary books on cosmology, An Introduction to the Science of Cosmology encompasses numerous recent developments and ideas in the area. It provides more detailed coverage than many other titles available, and the inclusion of problems at the end of each chapter aids in self study and makes the book suitable for taught courses.

Fundamentals of Cosmology

James Rich
Fundamentals of Cosmology Book PDF

Author : James Rich
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 45,7 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662044469

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Fundamentals of Cosmology by James Rich Pdf

A self-contained introduction to general relativity that is based on the homogeneity and isotropy of the local universe. Emphasis is placed on estimations of the densities of matter and vacuum energy, and on investigations of the primordial density fluctuations and the nature of dark matter.

Relativistic Cosmology

George F. R. Ellis,Roy Maartens,Malcolm A. H. MacCallum
Relativistic Cosmology Book PDF

Author : George F. R. Ellis,Roy Maartens,Malcolm A. H. MacCallum
Publisher : Cambridge University Press
Page : 637 pages
File Size : 51,9 Mb
Release : 2012-03-22
Category : Science
ISBN : 9780521381154

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Relativistic Cosmology by George F. R. Ellis,Roy Maartens,Malcolm A. H. MacCallum Pdf

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.

Relativity

Moshe Carmeli
Relativity Book PDF

Author : Moshe Carmeli
Publisher : World Scientific
Page : 551 pages
File Size : 43,8 Mb
Release : 2008
Category : Science
ISBN : 9789812813756

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Relativity by Moshe Carmeli Pdf

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.

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

Moshe Carmeli
Cosmological Relativity The Special And General Theories For The Structure Of The Universe Book PDF

Author : Moshe Carmeli
Publisher : World Scientific Publishing Company
Page : 151 pages
File Size : 54,9 Mb
Release : 2006-10-09
Category : Science
ISBN : 9789813106840

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Cosmological Relativity: The Special And General Theories For The Structure Of The Universe by Moshe Carmeli Pdf

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.

Gravity, Black Holes, and the Very Early Universe

Tai L. Chow
Gravity Black Holes and the Very Early Universe Book PDF

Author : Tai L. Chow
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 54,9 Mb
Release : 2007-10-24
Category : Science
ISBN : 9780387736310

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Gravity, Black Holes, and the Very Early Universe by Tai L. Chow Pdf

Here it is, in a nutshell: the history of one genius’s most crucial work – discoveries that were to change the face of modern physics. In the early 1900s, Albert Einstein formulated two theories that would forever change the landscape of physics: the Special Theory of Relativity and the General Theory of Relativity. Respected American academic Professor Tai Chow tells us the story of these discoveries. He details the basic ideas of Einstein, including his law of gravitation. Deftly employing his inimitable writing style, he goes on to explain the physics behind black holes, weaving into his account an explanation of the structure of the universe and the science of cosmology.

Theoretical Foundations of Cosmology

Michael Heller
Theoretical Foundations of Cosmology Book PDF

Author : Michael Heller
Publisher : World Scientific
Page : 160 pages
File Size : 51,9 Mb
Release : 1992-04-15
Category : Science
ISBN : 9789814506038

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Theoretical Foundations of Cosmology by Michael Heller Pdf

The book's principal aim is to clarify fundamental concepts, decipher mathematical structures used to model space-time and relativistic worlds, and to disclose their physical meaning. After each chapter, philosophical implications of the presented material are commented upon. Both special and general theories of relativity are presented in the book with the stress on their global aspects. Although global mathematical methods are extensively used throughout the book, the definitions of new concepts, short comments and examples make reading smooth without the need to consult other textbooks or review papers. Contents:Manifold Model of Space-TimeRelativistic Model of Space-TimeMethod of Fibre BundlesThe Frame Bundle and General RelativityThe Cosmological ProblemGeometry of the Standard Cosmological ModelBibliographical EssayAppendix. Evolution of Dynamical Space-Time TheoriesReferencesSymbol IndexAuthor and Subject Index Readership: Cosmologists, astronomers and theoretical physicists. keywords:Cosmology;Universe;Standard Cosmological Model;Space-Time;General Relativity;Special Relativity;Geometry of Space-Time;Differential Geometry;Fibre Bundles;Methodological Questions of Cosmology;Philosophy of Cosmology

Cosmological Special Relativity

Moshe Carmeli
Cosmological Special Relativity Book PDF

Author : Moshe Carmeli
Publisher : World Scientific
Page : 225 pages
File Size : 48,5 Mb
Release : 2002
Category : Science
ISBN : 9789810249366

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Cosmological Special Relativity by Moshe Carmeli Pdf

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.