Theoretical Foundations Of Cosmology

Author : Michael Heller
Publisher : World Scientific
Page : 160 pages
File Size : 42,9 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

Author : Micha? Heller
Publisher : World Scientific
Page : 170 pages
File Size : 47,5 Mb
Release : 1992
Category : Science
ISBN : 9810207565

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Theoretical Foundations of Cosmology by Micha? 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.

Author : Viatcheslav Mukhanov
Publisher : Cambridge University Press
Page : 454 pages
File Size : 53,5 Mb
Release : 2005-11-10
Category : Science
ISBN : 9781139447119

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Physical Foundations of Cosmology by Viatcheslav Mukhanov Pdf

Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe. This textbook, first published in 2005, explains the basis of modern cosmology and shows where the theoretical results come from. The book is divided into two parts; the first deals with the homogeneous and isotropic model of the Universe, the second part discusses how inhomogeneities can explain its structure. Established material such as the inflation and quantum cosmological perturbation are presented in great detail, however the reader is brought to the frontiers of current cosmological research by the discussion of more speculative ideas. An ideal textbook for both advanced students of physics and astrophysics, all of the necessary background material is included in every chapter and no prior knowledge of general relativity and quantum field theory is assumed.

Author : V. F. Mukhanov
Publisher : Cambridge University Press
Page : 454 pages
File Size : 43,9 Mb
Release : 2005-11-10
Category : Science
ISBN : 0521563984

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Physical Foundations of Cosmology by V. F. Mukhanov Pdf

"This is an ideal textbook both for advanced students of physics and astrophysics and for those with a particular interest in theoretical cosmology. Nearly every formula in the book is derived from basic physical principles covered in undergraduate courses. Each chapter includes all necessary background material and no prior knowledge of general relativity and quantum field theory is assumed."--BOOK JACKET.

Author : A. K. Raychaudhuri
Publisher : Oxford University Press, USA
Page : 308 pages
File Size : 53,6 Mb
Release : 1979
Category : Language Arts & Disciplines
ISBN : MINN:319510006885835

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Theoretical Cosmology by A. K. Raychaudhuri Pdf

Author : Daniel Baumann
Publisher : Cambridge University Press
Page : 485 pages
File Size : 48,7 Mb
Release : 2022-06-30
Category : Science
ISBN : 9781108838078

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Cosmology by Daniel Baumann Pdf

Based on the author's popular lecture notes, this graduate-level textbook provides an accessible and self-contained introduction to cosmology, ideal as a course companion or for self-study. Concepts are explained at an appropriate level of detail, with hundreds of worked examples and problems to facilitate a deeper understanding.

Author : Wei-tou Ni
Publisher : World Scientific
Page : 636 pages
File Size : 45,5 Mb
Release : 2017-05-26
Category : Science
ISBN : 9789814678513

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One Hundred Years Of General Relativity: From Genesis And Empirical Foundations To Gravitational Waves, Cosmology And Quantum Gravity - Volume 2 by Wei-tou Ni Pdf

The aim of this two-volume title is to give a comprehensive review of one hundred years of development of general relativity and its scientific influences. This unique title provides a broad introduction and review to the fascinating and profound subject of general relativity, its historical development, its important theoretical consequences, gravitational wave detection and applications to astrophysics and cosmology. The series focuses on five aspects of the theory: The first three topics are covered in Volume 1 and the remaining two are covered in Volume 2. While this is a two-volume title, it is designed so that each volume can be a standalone reference volume for the related topic.

Author : Michael V Berry
Publisher : Routledge
Page : 193 pages
File Size : 40,7 Mb
Release : 2017-10-19
Category : Science
ISBN : 9781351421911

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Principles of Cosmology and Gravitation by Michael V Berry Pdf

General relativity and quantum mechanics have become the two central pillars of theoretical physics. Moreover, general relativity has important applications in astrophysics and high-energy particle physics. Covering the fundamentals of the subject, Principles of Cosmology and Gravitation describes the universe as revealed by observations and presents a theoretical framework to enable important cosmological formulae to be derived and numerical calculations performed. Avoiding elaborate formal discussions, the book presents a practical approach that focuses on the general theory of relativity. It examines different evolutionary models and the gravitational effects of massive bodies. The book also includes a large number of worked examples and problems, half with solutions.

Author : J.V. Narlikar,T. Padmanabhan
Publisher : Springer Science & Business Media
Page : 477 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789400945081

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Gravity, Gauge Theories and Quantum Cosmology by J.V. Narlikar,T. Padmanabhan Pdf

For several decades since its inception, Einstein's general theory of relativity stood somewhat aloof from the rest of physics. Paradoxically, the attributes which normally boost a physical theory - namely, its perfection as a theoreti cal framework and the extraordinary intellectual achievement underlying i- prevented the general theory from being assimilated in the mainstream of physics. It was as if theoreticians hesitated to tamper with something that is manifestly so beautiful. Happily, two developments in the 1970s have narrowed the gap. In 1974 Stephen Hawking arrived at the remarkable result that black holes radiate after all. And in the second half of the decade, particle physicists discovered that the only scenario for applying their grand unified theories was offered by the very early phase in the history of the Big Bang universe. In both cases, it was necessary to discuss the ideas of quantum field theory in the background of curved spacetime that is basic to general relativity. This is, however, only half the total story. If gravity is to be brought into the general fold of theoretical physics we have to know how to quantize it. To date this has proved a formidable task although most physicists would agree that, as in the case of grand unified theories, quantum gravity will have applications to cosmology, in the very early stages of the Big Bang universe. In fact, the present picture of the Big Bang universe necessarily forces us to think of quantum cosmology.

Author : John F. Hawley,Katherine A. Holcomb
Publisher : OUP Oxford
Page : 576 pages
File Size : 41,8 Mb
Release : 2005-07-07
Category : Science
ISBN : 9780191606953

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Foundations of Modern Cosmology by John F. Hawley,Katherine A. Holcomb Pdf

Recent discoveries in astronomy, especially those made with data collected by satellites such as the Hubble Space Telescope and the Wilkinson Microwave Anisotropy Probe, have revolutionized the science of cosmology. These new observations offer the possibility that some long-standing mysteries in cosmology might be answered, including such fundamental questions as the ultimate fate of the universe. Foundations of modern cosmology provides an accessible, thorough and descriptive introduction to the physical basis for modern cosmological theory, from the big bang to a distant future dominated by dark energy. This second edition includes the latest observational results and provides the detailed background material necessary to understand their implications, with a focus on the specific model supported by these observations, the concordance model. Consistent with the book's title, emphasis is given to the scientific framework for cosmology, particularly the basics concepts of physics that underlie modern theories of relativity and cosmology; the importance of data and observations is stressed throughout. The book sketches the historical background of cosmology, and provides a review of the relevant basic physics and astronomy. After this introduction, both special and general relativity are treated, before proceeding to an in-depth discussion of the big bang theory and physics of the early universe. The book includes current research areas, including dark matter and structure formation, dark energy, the inflationary universe, and quantum cosmology. The authors' website (http://www.astro.virginia.edu/~jh8h/Foundations) offers a wealth of supplemental information, including questions and answers, references to other sources, and updates on the latest discoveries.

Author : John F. Hawley,Katherine A. Holcomb
Publisher : OUP Oxford
Page : 576 pages
File Size : 49,8 Mb
Release : 2005-07-07
Category : Science
ISBN : 9780191606953

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Foundations of Modern Cosmology by John F. Hawley,Katherine A. Holcomb Pdf

Recent discoveries in astronomy, especially those made with data collected by satellites such as the Hubble Space Telescope and the Wilkinson Microwave Anisotropy Probe, have revolutionized the science of cosmology. These new observations offer the possibility that some long-standing mysteries in cosmology might be answered, including such fundamental questions as the ultimate fate of the universe. Foundations of modern cosmology provides an accessible, thorough and descriptive introduction to the physical basis for modern cosmological theory, from the big bang to a distant future dominated by dark energy. This second edition includes the latest observational results and provides the detailed background material necessary to understand their implications, with a focus on the specific model supported by these observations, the concordance model. Consistent with the book's title, emphasis is given to the scientific framework for cosmology, particularly the basics concepts of physics that underlie modern theories of relativity and cosmology; the importance of data and observations is stressed throughout. The book sketches the historical background of cosmology, and provides a review of the relevant basic physics and astronomy. After this introduction, both special and general relativity are treated, before proceeding to an in-depth discussion of the big bang theory and physics of the early universe. The book includes current research areas, including dark matter and structure formation, dark energy, the inflationary universe, and quantum cosmology. The authors' website (http://www.astro.virginia.edu/~jh8h/Foundations) offers a wealth of supplemental information, including questions and answers, references to other sources, and updates on the latest discoveries.

Author : G. W. Gibbons,E. P. S. Shellard,S. J. Rankin
Publisher : Cambridge University Press
Page : 924 pages
File Size : 53,7 Mb
Release : 2003-10-23
Category : Biography & Autobiography
ISBN : 0521820812

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The Future of Theoretical Physics and Cosmology by G. W. Gibbons,E. P. S. Shellard,S. J. Rankin Pdf

Based on lectures given in honour of Stephen Hawking's sixtieth birthday, this book comprises contributions from some of the world's leading theoretical physicists. It begins with a section containing chapters by successful scientific popularisers, bringing to life both Hawking's work and other exciting developments in physics. The book then goes on to provide a critical evaluation of advanced subjects in modern cosmology and theoretical physics. Topics covered include the origin of the universe, warped spacetime, cosmological singularities, quantum gravity, black holes, string theory, quantum cosmology and inflation. As well as providing a fascinating overview of the wide variety of subject areas to which Stephen Hawking has contributed, this book represents an important assessment of prospects for the future of fundamental physics and cosmology.

Author : Antonio Romano,Mario Mango Furnari
Publisher : Springer Nature
Page : 496 pages
File Size : 41,7 Mb
Release : 2019-09-25
Category : Science
ISBN : 9783030272371

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The Physical and Mathematical Foundations of the Theory of Relativity by Antonio Romano,Mario Mango Furnari Pdf

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.

Author : Cosimo Bambi,Alexandre D. Dolgov
Publisher : Springer
Page : 251 pages
File Size : 48,6 Mb
Release : 2015-08-14
Category : Science
ISBN : 9783662480786

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Introduction to Particle Cosmology by Cosimo Bambi,Alexandre D. Dolgov Pdf

This book introduces the basic concepts of particle cosmology and covers all the main aspects of the Big Bang Model (expansion of the Universe, Big Bang Nucleosynthesis, Cosmic Microwave Background, large scale structures) and the search for new physics (inflation, baryogenesis, dark matter, dark energy). It also includes the majority of recent discoveries, such as the precise determination of cosmological parameters using experiments like WMAP and Planck, the discovery of the Higgs boson at LHC, the non-discovery to date of supersymmetric particles, and the search for the imprint of gravitational waves on the CMB polarization by Planck and BICEP. This textbook is based on the authors’ courses on Cosmology, and aims at introducing Particle Cosmology to senior undergraduate and graduate students. It has been especially written to be accessible even for those students who do not have a strong background in General Relativity and quantum field theory. The content of this book is organized in an easy-to-use style and students will find it a helpful research guide.

Author : Marc Lachièze-Rey
Publisher : Springer Science & Business Media
Page : 413 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401144551

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Theoretical and Observational Cosmology by Marc Lachièze-Rey Pdf

A complete account of the fundamental techniques of general relativity and their application to cosmology. The book includes reviews of the different cosmological models and their classification, including such topics as causality and horizons, the cosmological parameters, observational tests and constraints of cosmology, symmetries and the large scale topology of space and space-time, and the use of supernovas as cosmological indicators. The perturbations to the cosmological models are discussed throughout the volume. The cosmic microwave background is presented, with an emphasis in secondary distortions in relation to cosmological models and large scale structures. Recent results on dark matter are summarised. A general review of primordial nucleosynthesis is given. Gravitational lensing is discussed in great detail. Most contributions show a balance between theory and observation. Readership: A solid background for students and researchers intending to work in the field of theoretical and observational cosmology.