Download or read book Quantum Fields in Curved Space written by N. D. Birrell and published by Cambridge University Press. This book was released on 1984-02-23 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.
Download or read book Curved Spaces written by Pelham Mark Hedley Wilson and published by . This book was released on 2014-05-14 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries.
Download or read book Papers On Curved Spaces and Cosmology written by Alexander A. Friedmann and published by Minkowski Institute Press. This book was released on 2014-01-30 with total page 73 pages. Available in PDF, EPUB and Kindle. Book excerpt: If the talented Russian physicist Alexander Alexandrovich Friedmann had to be introduced with a single sentence, the most appropriate sentence would be the title of his biography translated from the Russian: Alexander A. Friedmann: The Man who Made the Universe Expand. Indeed, he was the first to realize in 1922 that Einstein's equations have solutions which describe not only a stationary Universe as Einstein initially believed, but also a non-stationary world. Friedmann won the debate with Einstein over the admissibility of such solutions, but his life was too short and he could not see the triumph of his views when the experimental evidence fully supported his predictions and demonstrated that the Universe was expanding. This book contains three papers by Friedmann - "On the Curvature of Space", "On the Possibility of a World with a Constant Negative Curvature of Space", and "On the Geometry of Curved Spaces". The third paper is a 28-page manuscript (dated 15 April 1922) which has not been published even in Russian. Unlike the existing two English translations of Friedmann's 1922 and 1924 papers (done from the German publications), now these papers are translated directly from the original Russian texts.
Download or read book Geometry of Nonpositively Curved Manifolds written by Patrick Eberlein and published by University of Chicago Press. This book was released on 1996 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting from the foundations, the author presents an almost entirely self-contained treatment of differentiable spaces of nonpositive curvature, focusing on the symmetric spaces in which every geodesic lies in a flat Euclidean space of dimension at least two. The book builds to a discussion of the Mostow Rigidity Theorem and its generalizations, and concludes by exploring the relationship in nonpositively curved spaces between geometric and algebraic properties of the fundamental group. This introduction to the geometry of symmetric spaces of non-compact type will serve as an excellent guide for graduate students new to the material, and will also be a useful reference text for mathematicians already familiar with the subject.
Download or read book Flat and Curved Space times written by George Francis Rayner Ellis and published by Clarendon Press. This book was released on 2000 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explains special relativity and the basics of general relativity from a geometric viewpoint. Space-time geometry is emphasised throughout, and up-to-date information is provided on black holes, gravitational collapse, and cosmology.
Download or read book Introduction to Differential Geometry of Space Curves and Surfaces written by Taha Sochi and published by Taha Sochi. This book was released on 2022-09-14 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about differential geometry of space curves and surfaces. The formulation and presentation are largely based on a tensor calculus approach. It can be used as part of a course on tensor calculus as well as a textbook or a reference for an intermediate-level course on differential geometry of curves and surfaces. The book is furnished with an index, extensive sets of exercises and many cross references, which are hyperlinked for the ebook users, to facilitate linking related concepts and sections. The book also contains a considerable number of 2D and 3D graphic illustrations to help the readers and users to visualize the ideas and understand the abstract concepts. We also provided an introductory chapter where the main concepts and techniques needed to understand the offered materials of differential geometry are outlined to make the book fairly self-contained and reduce the need for external references.
Download or read book Metric Spaces of Non Positive Curvature written by Martin R. Bridson and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: A description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I provides an introduction to the geometry of geodesic spaces, while Part II develops the basic theory of spaces with upper curvature bounds. More specialized topics, such as complexes of groups, are covered in Part III.
Download or read book The Wave Equation on a Curved Space Time written by F. G. Friedlander and published by Cambridge University Press. This book was released on 1975 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a rigourous discussion of the local effects of curvature on the behaviour of waves. In the course of this discussion many techniques are developed which are also needed for a study of more general problems, in which the gravitational field itself plays a dynamical role.
Download or read book Aspects of Quantum Field Theory in Curved Spacetime written by Stephen A. Fulling and published by Cambridge University Press. This book was released on 1989-08-24 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.
Download or read book Path Integrals and Anomalies in Curved Space written by Fiorenzo Bastianelli and published by Cambridge University Press. This book was released on 2006-07-20 with total page 47 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces path integrals, a powerful method for describing quantum phenomena, and then uses them to compute anomalies in quantum field theories. An advanced text for researchers and graduate students of quantum field theory and string theory, it also provides a stand-alone introduction to path integrals in quantum mechanics.
Download or read book Quantum Fields in Curved Space written by N. D. Birrell and published by Cambridge University Press. This book was released on 1984-02-23 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Identifies information sources and shows how to develop a job search strategy. Gives valuable advice on job interviews and on how a new employee can keep his job.
Download or read book Classical Measurements in Curved Space Times written by Fernando de Felice and published by Cambridge University Press. This book was released on 2010-07-29 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of relativity describes the laws of physics in a given space-time. However, a physical theory must provide observational predictions expressed in terms of measurements, which are the outcome of practical experiments and observations. Ideal for readers with a mathematical background and a basic knowledge of relativity, this book will help readers understand the physics behind the mathematical formalism of the theory of relativity. It explores the informative power of the theory of relativity, and highlights its uses in space physics, astrophysics and cosmology. Readers are given the tools to pick out from the mathematical formalism those quantities that have physical meaning and which can therefore be the result of a measurement. The book considers the complications that arise through the interpretation of a measurement, which is dependent on the observer who performs it. Specific examples of this are given to highlight the awkwardness of the problem.
Download or read book Quantum Mechanics in Curved Space Time written by Jurgen Audretsch and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics and quantum field theory on one hand and Gravity as a theory of curved space-time on the other are the two great conc- tual schemes of modern theoretical physics. For many decades they have lived peacefully together for a simple reason: it was a coexistence wi- out much interaction. There has been the family of relativists and the other family of elementary particle physicists and both sides have been convinced that their problems have not very much to do with the problems of the respective other side. This was a situation which could not last forever, because the two theoretical schemes have a particular structural trait in common: their claim for totality and universality. Namely on one hand all physical theories have to be formulated in a quantum mechanical manner, and on the other hand gravity as curved space-time influences all processes and vice versa. It was therefore only a question of time that physically relevant domains of application would attract a general int- est, which demand a combined application of both theoretical schemes. But it is immediately obvious that such an application of both schemes is - possible if the schemes are taken as they are. Something new is needed which reconciles gravity and quantum mechanics. During the last two de- des we are now doing the first steps towards this more general theory and we are confronted with fundamental difficulties.
Download or read book Curved Space the More Delicate Times written by James P. Kain and published by Xlibris Corporation. This book was released on 2009-10-07 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poetry is a journey into mysterious realms at the borders of reason and imagination. I am drawn by the misty places between worlds, between the public outer world of shared and common experience and the private inner world of personal vision and intimation. There I look for some uncommon but universal piece of the puzzle that joins our isolated souls. Somewhere beneath the surface, behind the faade, in the borderlands is a ribbon of truth, as elusive as it is essential. To get a glimpse of it I have to sleep with my eyes open, waken within the dream, believe nothing Ive been told, and walk the dark night with an expectation of miracles. With every breath I feel one coming on.
Download or read book Solutions of Exercises of Introduction to Differential Geometry of Space Curves and Surfaces written by Taha Sochi and published by Taha Sochi. This book was released on 2022-10-13 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the solutions of the exercises of my book: Introduction to Differential Geometry of Space Curves and Surfaces. These solutions are sufficiently simplified and detailed for the benefit of readers of all levels particularly those at introductory level.
Download or read book String Theory In Curved Space Times A Collaborative Research Report written by Normalized Sanchez and published by World Scientific. This book was released on 1998-05-30 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal and impact of modern string theory is to provide a consistent quantum theory of gravity. This book provides an updated collection of original new developments and fundamental research in string theory in connection with gravity and physics at the Planck energy scale.Topics treated in this volume by pioneering researchers in the field include: classical and quantum string dynamics in strong gravitational fields, space-time singularities, black holes and cosmological backgrounds; particle and string scattering at the Planck energy scale; string cosmology and its observational consequences; the new features of multistrings and of quantum particle transmutation for strings in curved spacetimes.The book deals with (i) the several new methods developed to solve the highly nonlinear string dynamics in curved spactimes: approximative perturbative methods, asymptotic expansions, exact local expansions and exact global (over the whole world sheet) string solitonic solutions, (ii) the string energy momentum tensor and the equation of state for the string matter, the stretching of the string size in spacetimes with event horizons and near spacetime singularities, (iii) the canonical and semiclassical quantization of strings in curved spacetimes and the physical effects found for: the mass spectrum, structure of levels, scattering amplitudes, number operator and particle transmutation.
Download or read book Natural Families of Curves in a General Curved Space of N dimensions written by Joseph Lipka and published by . This book was released on 1912 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
