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

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

Author : Moshe Carmeli
Publisher : World Scientific Publishing Company
Page : 151 pages
File Size : 50,6 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

Author : Tai L. Chow
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 42,8 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.

The Universe of General Relativity

Author : A.J. Kox,Jean Eisenstaedt
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 55,9 Mb
Release : 2006-09-10
Category : Science
ISBN : 9780817644543

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The Universe of General Relativity by A.J. Kox,Jean Eisenstaedt Pdf

Outgrowth of 6th Int'l Conference on the History of General Relativity, held in Amsterdam on June 26-29, 2002 Contributions from notable experts offer both new and historical insights on gravitation, general relativity, cosmology, unified field theory, and the history of science Topics run gamet from detailed mathematical discussions to more personal recollections of relativity as seen through the eyes of the public and renowned relativists

Relativity

Author : Moshe Carmeli
Publisher : World Scientific
Page : 551 pages
File Size : 46,6 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 Special Relativity

Author : Moshe Carmeli
Publisher : World Scientific
Page : 225 pages
File Size : 44,9 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.

Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity

Author : August Hall
Publisher : Clanrye International
Page : 0 pages
File Size : 52,7 Mb
Release : 2023-09-19
Category : Science
ISBN : 1647266777

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Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity by August Hall Pdf

Cosmology is a field of astronomy that studies the origin and evolution of the universe. General theory of relativity, also called Einstein's theory of gravity, serves as the foundation for comprehending the history and large-scale structure of the universe. A number of significant predictions about the physical world such as the Big Bang origin of the universe, the existence of black holes, effect of gravity on clocks, and gravitational lensing are also based on general relativity theory. According to this theory, numerous astrophysical occurrences produce gravitational waves, which are ripples in the geometry of spacetime and these propagate at the speed of light. This theory provides a unified description of gravity as a geometric property of space and time, also known as the four-dimensional spacetime model. It also improves upon Newton's law of universal gravitation and generalizes special relativity. It serves as the foundation for the fields of relativistic astrophysics and cosmology. This book unfolds the principles and applications of the general theory relativity. It presents researches and studies performed by experts across the globe. The book will help the readers in keeping pace with the rapid changes in this field.

Theoretical Foundations of Cosmology

Author : Michael Heller
Publisher : World Scientific
Page : 160 pages
File Size : 52,8 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

Relativistic Cosmology

Author : Dr. Amit Prakash
Publisher : BlueRose Publishers
Page : 110 pages
File Size : 40,7 Mb
Release : 2020-06-03
Category : Mathematics
ISBN : 8210379456XXX

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Relativistic Cosmology by Dr. Amit Prakash Pdf

Relativistic Cosmology is an exciting update of mathematical interpretation of the universe. It is aimed primarily at advanced post graduate students in mathematics as well as physics and astronomy, but is also useful as a supplementary text at higher level as research scholars. This book deals with observational results, descriptions of special and general theory of relativity and applications of relativistic mechanics and relativistic thermodynamics to cosmology. This book is concerned mainly with various models that have been proposed to explain the large scale structure of the universe. Even a very knowledgeable student of the Cosmology will find much new information in this book. While the explanatory discussions are brief, they are sufficiently substantive to serve the subject in the question and to pique further interest in the topic. This book is not merely written or complied, it is crafted. It is designed for a specific audience and the texture and sensory format is carefully chosen for the audience. This is a wonderful book that presents an eclectic selection of cosmological concepts and concerned calculations. It is an ideal text book for the era of precision cosmology in the accelerating universe. This book, as it is hoped, will certainly find a warm reception in the hands of the readers.

General Relativity and Cosmology

Author : SUSHIL KUMAR SRIVASTAVA
Publisher : PHI Learning Pvt. Ltd.
Page : 272 pages
File Size : 46,5 Mb
Release : 2008-06-10
Category : Science
ISBN : 812033437X

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General Relativity and Cosmology by SUSHIL KUMAR SRIVASTAVA Pdf

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.

Space-Time, Relativity, and Cosmology

Author : Jose Wudka
Publisher : Cambridge University Press
Page : 307 pages
File Size : 47,9 Mb
Release : 2006-07-20
Category : Science
ISBN : 9780521822800

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Space-Time, Relativity, and Cosmology by Jose Wudka Pdf

Space-Time, Relativity, and Cosmology provides a historical introduction to modern relativistic cosmology and traces its historical roots and evolution from antiquity to Einstein. The topics are presented in a non-mathematical manner, with the emphasis on the ideas that underlie each theory rather than their detailed quantitative consequences. A significant part of the book focuses on the Special and General theories of relativity. The tests and experimental evidence supporting the theories are explained together with their predictions and their confirmation. Other topics include a discussion of modern relativistic cosmology, the consequences of Hubble's observations leading to the Big Bang hypothesis, and an overview of the most exciting research topics in relativistic cosmology. This textbook is intended for introductory undergraduate courses on the foundations of modern physics. It is also accessible to advanced high school students, as well as non-science majors who are concerned with science issues.

100 Years Of Relativity: Space-time Structure - Einstein And Beyond

Author : Abhay Ashtekar
Publisher : World Scientific
Page : 528 pages
File Size : 41,6 Mb
Release : 2005-11-22
Category : Science
ISBN : 9789814479936

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100 Years Of Relativity: Space-time Structure - Einstein And Beyond by Abhay Ashtekar Pdf

Thanks to Einstein's relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).

Relativity: Modern Large-scale Spacetime Structure Of The Cosmos

Author : Moshe Carmeli
Publisher : World Scientific Publishing Company
Page : 552 pages
File Size : 47,7 Mb
Release : 2008-12-04
Category : Science
ISBN : 9789813107175

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Relativity: Modern Large-scale Spacetime Structure Of The Cosmos 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 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.

Springer Handbook of Spacetime

Author : Abhay Ashtekar,Vesselin Petkov
Publisher : Springer
Page : 883 pages
File Size : 51,6 Mb
Release : 2014-09-01
Category : Science
ISBN : 9783642419928

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Springer Handbook of Spacetime by Abhay Ashtekar,Vesselin Petkov Pdf

The Springer Handbook of Spacetime is dedicated to the ground-breaking paradigm shifts embodied in the two relativity theories, and describes in detail the profound reshaping of physical sciences they ushered in. It includes in a single volume chapters on foundations, on the underlying mathematics, on physical and astrophysical implications, experimental evidence and cosmological predictions, as well as chapters on efforts to unify general relativity and quantum physics. The Handbook can be used as a desk reference by researchers in a wide variety of fields, not only by specialists in relativity but also by researchers in related areas that either grew out of, or are deeply influenced by, the two relativity theories: cosmology, astronomy and astrophysics, high energy physics, quantum field theory, mathematics, and philosophy of science. It should also serve as a valuable resource for graduate students and young researchers entering these areas, and for instructors who teach courses on these subjects. The Handbook is divided into six parts. Part A: Introduction to Spacetime Structure. Part B: Foundational Issues. Part C: Spacetime Structure and Mathematics. Part D: Confronting Relativity theories with observations. Part E: General relativity and the universe. Part F: Spacetime beyond Einstein.

The General Theory of Relativity

Author : Farook Rahaman
Publisher : Cambridge University Press
Page : 427 pages
File Size : 51,8 Mb
Release : 2021-09-30
Category : Science
ISBN : 9781108837996

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The General Theory of Relativity by Farook Rahaman Pdf

Discusses the general theory of relativity, Lie derivatives, rotating black holes, with a focus on basics of cosmology and astrophysics.

An Introduction to the Science of Cosmology

Author : Derek Raine,E.G. Thomas
Publisher : CRC Press
Page : 232 pages
File Size : 53,7 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.