Relativity: Modern Large-scale Spacetime Structure Of The Cosmos

Relativity: Modern Large-scale Spacetime Structure Of The Cosmos
Author: Moshe Carmeli
Publisher: World Scientific Publishing Company
Total Pages: 551
Release: 2008-12-04
Genre: Science
ISBN: 9813107170

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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 space­time 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 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.

100 Years of Relativity

100 Years of Relativity
Author: Abhay Ashtekar
Publisher: World Scientific
Total Pages: 527
Release: 2005
Genre: Science
ISBN: 9812563946

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Divided into three parts, this volume focuses on a summary of how relativity theories were born. It also discusses the ramifications of general relativity, such as black holes, space-time singularities, gravitational waves, the large scale structure of the cosmos, and more. It includes summaries of radical changes in the notions of space and time.

The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time
Author: Stephen Hawking
Publisher: Cambridge University Press
Total Pages: 406
Release: 1973
Genre: Science
ISBN: 9780521099066

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This 1973 book discusses Einstein's General Theory of Relativity and its predictions concerning black holes and singularities in space-time itself.

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.

The Large Scale Structure of Space-Time

The Large Scale Structure of Space-Time
Author: Stephen W. Hawking
Publisher: Cambridge University Press
Total Pages: 414
Release: 2023-02-16
Genre: Science
ISBN: 1009253182

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First published in 1973, this influential work discusses Einstein's General Theory of Relativity to show how two of its predictions arise: first, that the ultimate fate of many massive stars is to undergo gravitational collapse to form 'black holes'; and second, that there was a singularity in the past at the beginning of the universe. Starting with a precise formulation of the theory, including the necessary differential geometry, the authors discuss the significance of space-time curvature and examine the properties of a number of exact solutions of Einstein's field equations. They develop the theory of the causal structure of a general space-time, and use it to prove a number of theorems establishing the inevitability of singularities under certain conditions. A Foreword contributed by Abhay Ashtekar and a new Preface from George Ellis help put the volume into context of the developments in the field over the past fifty years.

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.

Relativistic Cosmology

Relativistic Cosmology
Author: George F. R. Ellis
Publisher: Cambridge University Press
Total Pages: 637
Release: 2012-03-22
Genre: Science
ISBN: 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.

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.