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Some Mathematical Problems In Inhomogeneous Cosmology
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Book Synopsis Inhomogeneous Cosmological Models - Proceedings Of The Spanish Relativity Meeting by : J M M Senovilla
Download or read book Inhomogeneous Cosmological Models - Proceedings Of The Spanish Relativity Meeting written by J M M Senovilla and published by World Scientific. This book was released on 1995-08-31 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted mainly to one of the more relevant subjects of the last two decades, namely, Inhomogeneous Cosmological Models. This subject has undergone a remarkable advance during the last decade, and the achievements attained have been quite numerous both from the observational and the theoretical point of view.
Book Synopsis Mathematical and Quantum Aspects of Relativity and Cosmology by : Spiros Cotsakis
Download or read book Mathematical and Quantum Aspects of Relativity and Cosmology written by Spiros Cotsakis and published by Springer. This book was released on 2008-01-11 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written in a pedagogical style intelligible for graduate students. It reviews recent progress in black-hole and wormhole theory and in mathematical cosmology within the framework of Einstein's field equations and beyond, including quantum effects. This collection of essays, written by leading scientists of long standing reputation, should become an indispensable source for future research.
Book Synopsis An Introduction to Mathematical Cosmology by : Jamal N. Islam
Download or read book An Introduction to Mathematical Cosmology written by Jamal N. Islam and published by Cambridge University Press. This book was released on 2002 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook on mathematical cosmology for beginning graduate students.
Book Synopsis Relativistic Cosmology by : George F. R. Ellis
Download or read book Relativistic Cosmology written by George F. R. Ellis and published by Cambridge University Press. This book was released on 2012-03-22 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Current Topics In Mathematical Cosmology - Proceedings Of The International Seminar by : M Rainer
Download or read book Current Topics In Mathematical Cosmology - Proceedings Of The International Seminar written by M Rainer and published by World Scientific. This book was released on 1998-12-31 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, current topics from classical large scale models to quantum gravity effects in the mathematical formulation of physically motivated cosmological theories are discussed. There are contributions dealing with topics such as the singularity theorem, the cosmic no-hair theorem and other results related to the big bang and the inflationary cosmological models. Also discussed are non-standard themes like field equations of order higher than 2, space-times of dimension different from 4, relating also to current generalizations of string theory, and some issues in quantum cosmology.
Book Synopsis Differential Equations and Mathematical Physics by : Rudi Weikard
Download or read book Differential Equations and Mathematical Physics written by Rudi Weikard and published by American Mathematical Soc.. This book was released on 2000 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the 1999 International Conference on Differential Equations and Mathematical Physics. The contributions selected for this volume represent some of the most important presentations by scholars from around the world on developments in this area of research. The papers cover topics in the general area of linear and nonlinear differential equations and their relation to mathematical physics, such as multiparticle Schrödinger operators, stability of matter, relativity theory, fluid dynamics, spectral and scattering theory including inverse problems. Titles in this series are co-published with International Press, Cambridge, MA.
Book Synopsis The Problem of Time by : Edward Anderson
Download or read book The Problem of Time written by Edward Anderson and published by Springer. This book was released on 2017-09-18 with total page 917 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a treatise on time and on background independence in physics. It first considers how time is conceived of in each accepted paradigm of physics: Newtonian, special relativity, quantum mechanics (QM) and general relativity (GR). Substantial differences are moreover uncovered between what is meant by time in QM and in GR. These differences jointly source the Problem of Time: Nine interlinked facets which arise upon attempting concurrent treatment of the QM and GR paradigms, as is required in particular for a background independent theory of quantum gravity. A sizeable proportion of current quantum gravity programs - e.g. geometrodynamical and loop quantum gravity approaches to quantum GR, quantum cosmology, supergravity and M-theory - are background independent in this sense. This book's foundational topic is thus furthermore of practical relevance in the ongoing development of quantum gravity programs. This book shows moreover that eight of the nine facets of the Problem of Time already occur upon entertaining background independence in classical (rather than quantum) physics. By this development, and interpreting shape theory as modelling background independence, this book further establishes background independence as a field of study. Background independent mechanics, as well as minisuperspace (spatially homogeneous) models of GR and perturbations thereabout are used to illustrate these points. As hitherto formulated, the different facets of the Problem of Time greatly interfere with each others' attempted resolutions. This book explains how, none the less, a local resolution of the Problem of Time can be arrived at after various reconceptualizations of the facets and reformulations of their mathematical implementation. Self-contained appendices on mathematical methods for basic and foundational quantum gravity are included. Finally, this book outlines how supergravity is refreshingly different from GR as a realization of background independence, and what background independence entails at the topological level and beyond.
Book Synopsis Structures in the Universe by Exact Methods by : Krzysztof Bolejko
Download or read book Structures in the Universe by Exact Methods written by Krzysztof Bolejko and published by Cambridge University Press. This book was released on 2010 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews developments in applications of inhomogeneous models to cosmology, for graduate students and academic researchers in astrophysics.
Book Synopsis Deconstructing Cosmology by : Robert H. Sanders
Download or read book Deconstructing Cosmology written by Robert H. Sanders and published by Cambridge University Press. This book was released on 2016-09-29 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: The advent of sensitive high-resolution observations of the cosmic microwave background radiation and their successful interpretation in terms of the standard cosmological model has led to great confidence in this model's reality. The prevailing attitude is that we now understand the Universe and need only work out the details. In this book, Sanders traces the development and successes of Lambda-CDM, and argues that this triumphalism may be premature. The model's two major components, dark energy and dark matter, have the character of the pre-twentieth-century luminiferous aether. While there is astronomical evidence for these hypothetical fluids, their enigmatic properties call into question our assumptions of the universality of locally determined physical law. Sanders explains how modified Newtonian dynamics (MOND) is a significant challenge for cold dark matter. Overall, the message is hopeful: the field of cosmology has not become frozen, and there is much fundamental work ahead for tomorrow's cosmologists.
Book Synopsis Cosmological Crossroads by : Spiros Cotsakis
Download or read book Cosmological Crossroads written by Spiros Cotsakis and published by Springer. This book was released on 2008-01-11 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: History and Overview -- Is Nature Generic? -- Evolution of Ideas in Modern Cosmology -- Mathematical Cosmology -- Constraints and Evolution in Cosmology -- Cosmological Singularities -- Exact Cosmological Solutions -- to Cosmological Dynamical Systems -- Astrophysical and Observational Cosmology -- The Quest for the Cosmological Parameters -- Modern Cosmological Observations -- Cosmological Perturbations -- Dark Matter: A Particle Theorist's Viewpoint -- Particle and String Cosmology -- An Introduction to Particle Physics -- Quantum Cosmology -- Inflationary Cosmology -- String Cosmology -- Brane Cosmology.
Book Synopsis Primordial Cosmology by : Giovanni Montani
Download or read book Primordial Cosmology written by Giovanni Montani and published by World Scientific. This book was released on 2011-01-03 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primordial Cosmology deals with one of the most puzzling and fascinating topics debated in modern physics — the nature of the Big Bang singularity. The authors provide a self-consistent and complete treatment of the very early Universe dynamics, passing through a concise discussion of the Standard Cosmological Model, a precise characterization of the role played by the theory of inflation, up to a detailed analysis of the anisotropic and inhomogeneous cosmological models. The most peculiar feature of this book is its uniqueness in treating advanced topics of quantum cosmology with a well-traced link to more canonical and pedagogical notions of fundamental cosmology.This book traces clearly the backward temporal evolution of the Universe, starting with the Robertson-Walker geometry and ending with the recent results of loop quantum cosmology in view of the Big Bounce. The reader is accompanied in this journey by an initial technical presentation which, thanks to the fundamental tools given earlier in the book, never seems heavy or obscure.
Book Synopsis How and where to Go Beyond the Standard Model by : Antonino Zichichi
Download or read book How and where to Go Beyond the Standard Model written by Antonino Zichichi and published by World Scientific. This book was released on 2007 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of lectures given during the 42nd Course of the International School of Subnuclear Physics. The contributions cover the most recent advances in theoretical physics and the latest results from current experimental facilities.In line with one of the aims of the school, which is to encourage and promote young physicists to achieve recognition at an international level, the students' recognized for their research excellence were given the opportunity to publish their work in this volume. Their contributions are joined by those from many distinguished lecturers in the field from around the world.
Book Synopsis Physical Foundations of Cosmology by : Viatcheslav Mukhanov
Download or read book Physical Foundations of Cosmology written by Viatcheslav Mukhanov and published by Cambridge University Press. This book was released on 2005-11-10 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1981 with total page 788 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry of Foliations by : B.L. Reinhart
Download or read book Differential Geometry of Foliations written by B.L. Reinhart and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: Whoever you are! How can I but offer you divine leaves . . . ? Walt Whitman The object of study in modern differential geometry is a manifold with a differ ential structure, and usually some additional structure as well. Thus, one is given a topological space M and a family of homeomorphisms, called coordinate sys tems, between open subsets of the space and open subsets of a real vector space V. It is supposed that where two domains overlap, the images are related by a diffeomorphism, called a coordinate transformation, between open subsets of V. M has associated with it a tangent bundle, which is a vector bundle with fiber V and group the general linear group GL(V). The additional structures that occur include Riemannian metrics, connections, complex structures, foliations, and many more. Frequently there is associated to the structure a reduction of the group of the tangent bundle to some subgroup G of GL(V). It is particularly pleasant if one can choose the coordinate systems so that the Jacobian matrices of the coordinate transformations belong to G. A reduction to G is called a G-structure, which is called integrable (or flat) if the condition on the Jacobians is satisfied. The strength of the integrability hypothesis is well-illustrated by the case of the orthogonal group On. An On-structure is given by the choice of a Riemannian metric, and therefore exists on every smooth manifold.
Book Synopsis Fundamental Astronomy by : Hannu Karttunen
Download or read book Fundamental Astronomy written by Hannu Karttunen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental Astronomy gives a well-balanced and comprehensive introduction to the various fields of classical and modern astronomy. While emphasizing both the astronomical concepts and the underlying physical principles, the text provides a sound basis for more profound studies in the astronomical sciences. The present corrected printing of the revised and enlarged third edition of this successful textbook includes a host of new knowledge acquired in recent years. In particular the chapters on observations and on the physics of the Sun have been thoroughly revised.
Book Synopsis Astronomy and Astrophysics Abstracts by : S. Böhme
Download or read book Astronomy and Astrophysics Abstracts written by S. Böhme and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 1180 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: Astronomy and Astrophysics Abstracts has appeared in semi-annual volumes since 1969 and it has already become one of the fundamental publications in the fields of astronomy, astrophysics and neighbouring sciences. It is the most important English-language abstracting journal in the mentioned branches. ... The abstracts are classified under more than hundred subject categories, thus permitting a quick survey of the whole extended material. The AAA is a valuable and important publication for all students and scientists working in the fields of astronomy and related sciences. As such it represents a necessary ingredient of any astronomical library all over the world." Space Science Reviews #1 "Dividing the whole field plus related subjects into 108 categories, each work is numbered and most are accompanied by brief abstracts. Fairly comprehensive cross-referencing links relevant papers to more than one category, and exhaustive author and subject indices are to be found at the back, making the catalogues easy to use. The series appears to be so complete in its coverage and always less than a year out of date that I shall certainly have to make a little more space on those shelves for future volumes." The Observatory Magazine #1
