Download or read book THE LIGHT CONE AT INFINITY written by Roger Penrose and published by . This book was released on 1962 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the point of view of the conformal structure of space-time, points at infinity can be treated on the same basis as finite points. Minkowski space can be completed to a highly symmetrical conformal manifold by the addition of a null cone at infinity - the absolute cone. Owing to their conformal invariance, zero rest-mass fields can be studied on the whole of this conformal manifold. The behaviour of the fields on the absolute cone can be used to define the radiation fields. General relativity can be treated from this point of view if the gravitational field is represented by an expression originally equal to the Weyl tensor but which transforms slightly differently under conformal transformation. (Author).

Download or read book Light Cone Cuts of Null Infinity written by Carlos Nicolas Kozameh and published by . This book was released on 1983 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book The Universe of General Relativity written by A.J. Kox and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Download or read book Classical Fields General Relativity And Gauge Theory written by Moshe Carmeli and published by World Scientific Publishing Company. This book was released on 2001-11-28 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book presents gravitation and gauge fields as interrelated topics with a common physical and mathematical foundation, such as gauge theory of gravitation and other fields, giving emphasis to the physicist's point of view.About half of the material is devoted to Einstein's general relativity theory, and the rest to gauge fields that naturally blend well with gravitation, including spinor formulation, classification of SU(2) gauge fields and null-tetrad formulation of the Yang-Mills field in the presence of gravitation.The text includes a useful introduction to the physical foundation of the theory of gravitation. It also provides the mathematical theory of the geometry of curved space-times needed to describe Einstein's general relativity theory.

Download or read book More Than Nothing written by Aaron Sidney Wright and published by Oxford University Press. This book was released on 2024-03-11 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Across decades and disciplines, More than Nothing offers a scoping history of the vacuum as a lens into the development of modern physics.

Download or read book Geometry of M bius Transformations written by Vladimir V. Kisil and published by World Scientific. This book was released on 2012 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique exposition of rich and inspiring geometries associated with Möbius transformations of the hypercomplex plane. The presentation is self-contained and based on the structural properties of the group SL2(R). Starting from elementary facts in group theory, the author unveils surprising new results about the geometry of circles, parabolas and hyperbolas, using an approach based on the Erlangen programme of F Klein, who defined geometry as a study of invariants under a transitive group action.The treatment of elliptic, parabolic and hyperbolic Möbius transformations is provided in a uniform way. This is possible due to an appropriate usage of complex, dual and double numbers which represent all non-isomorphic commutative associative two-dimensional algebras with unit. The hypercomplex numbers are in perfect correspondence with the three types of geometries concerned. Furthermore, connections with the physics of Minkowski and Galilean space-time are considered.

Download or read book Twelfth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories In 3 Volumes Proceedings Of The Mg12 Meeting On General Relativity written by Remo Ruffini and published by World Scientific. This book was released on 2012-02-02 with total page 2657 pages. Available in PDF, EPUB and Kindle. Book excerpt: Marcel Grossmann Meetings are formed to further the development of General Relativity by promoting theoretical understanding in the fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. In these meetings are discussed recent developments in classical and quantum gravity, general relativity and relativistic astrophysics, with major emphasis on mathematical foundations and physical predictions, with the main objective of gathering scientists from diverse backgrounds for deepening the understanding of spacetime structure and reviewing the status of test-experiments for Einstein's theory of gravitation. The range of topics is broad, going from the more abstract classical theory, quantum gravity and strings, to the more concrete relativistic astrophysics observations and modeling.The three volumes of the proceedings of MG12 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting includes 29 plenary talks stretched over 6 mornings, and 74 parallel sessions over 5 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string theories, to precision tests of general relativity including progress towards the detection of gravitational waves, to relativistic astrophysics including such topics as gamma ray bursts, black hole physics both in our galaxy, in active galactic nuclei and in other galaxies, neutron stars, pulsar astrophysics, gravitational lensing effects, neutrino physics and ultra high energy cosmic rays. The rest of the volumes include parallel sessions on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, binary systems, radiative transfer, accretion disks, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, cosmic background radiation & observational cosmology, numerical relativity & algebraic computing, gravitational lensing, variable ';constants'; of nature, large scale structure, topology of the universe, brane-world cosmology, early universe models & cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, gamma ray burst modeling, supernovas, global structure, singularities, cosmic censorship, chaos, Einstein-Maxwell systems, inertial forces, gravitomagnetism, wormholes & time machines, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors & data analysis, precision gravitational measurements, history of relativity, quantum gravity & loop quantum gravity, Casimir effect, quantum cosmology, strings & branes, self-gravitating systems, gamma ray astronomy, cosmic rays, gamma ray bursts and quasars.

Download or read book Conceptual Tools For Understanding Nature Proceedings Of The 3rd International Symposium written by Giacomo Costa and published by World Scientific. This book was released on 1997-05-27 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers new perspectives and paradigms in science, specifically to point out novel characteristics in natural processes. The issues are discussed by outstanding scientists from among the most advanced fields of science, who bring with them various points of the scientific horizon and widely different new experimental evidence.

Download or read book General Relativity written by Ghanashyam Date and published by CRC Press. This book was released on 2014-12-03 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Broad Perspective on the Theory of General Relativity and Its Observable Implications General Relativity: Basics and Beyond familiarizes students and beginning researchers with the basic features of the theory of general relativity as well as some of its more advanced aspects. Employing the pedagogical style of a textbook, it includes essential ideas and just enough background material needed for readers to appreciate the issues and current research. Basics The first five chapters form the core of an introductory course on general relativity. The author traces Einstein’s arguments and presents examples of space-times corresponding to different types of gravitational fields. He discusses the adaptation of dynamics in a Riemannian geometry framework, the Einstein equation and its elementary properties, and different phenomena predicted or influenced by general relativity. Beyond Moving on to more sophisticated features of general relativity, the book presents the physical requirements of a well-defined deterministic framework for non-gravitational dynamics and describes the characterization of asymptotic space-times. After covering black holes, gravitational waves, and cosmological space-times, the book examines the evolutionary interpretation for the class of globally hyperbolic space-times, explores numerical relativity, and discusses approaches that address the challenges of general relativity.

Download or read book Shadows of Reality written by Tony Robbin and published by Yale University Press. This book was released on 2008-10-01 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this insightful book, which is a revisionist math history as well as a revisionist art history, Tony Robbin, well known for his innovative computer visualizations of hyperspace, investigates different models of the fourth dimension and how these are applied in art and physics. Robbin explores the distinction between the slicing, or Flatland, model and the projection, or shadow, model. He compares the history of these two models and their uses and misuses in popular discussions. Robbin breaks new ground with his original argument that Picasso used the projection model to invent cubism, and that Minkowski had four-dimensional projective geometry in mind when he structured special relativity. The discussion is brought to the present with an exposition of the projection model in the most creative ideas about space in contemporary mathematics such as twisters, quasicrystals, and quantum topology. Robbin clarifies these esoteric concepts with understandable drawings and diagrams. Robbin proposes that the powerful role of projective geometry in the development of current mathematical ideas has been long overlooked and that our attachment to the slicing model is essentially a conceptual block that hinders progress in understanding contemporary models of spacetime. He offers a fascinating review of how projective ideas are the source of some of today’s most exciting developments in art, math, physics, and computer visualization.

Download or read book Metric Affine Geometry written by Ernst Snapper and published by Elsevier. This book was released on 2014-05-10 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric. This book is organized into three chapters. Chapter 1 discusses nonmetric affine geometry, while Chapter 2 reviews inner products of vector spaces. The metric affine geometry is treated in Chapter 3. This text specifically discusses the concrete model for affine space, dilations in terms of coordinates, parallelograms, and theorem of Desargues. The inner products in terms of coordinates and similarities of affine spaces are also elaborated. The prerequisites for this publication are a course in linear algebra and an elementary course in modern algebra that includes the concepts of group, normal subgroup, and quotient group. This monograph is suitable for students and aspiring geometry high school teachers.

Download or read book Foliations Geometry And Dynamics Proceedings Of The Euroworkshop written by Lawrence Conlon and published by World Scientific. This book was released on 2002-02-01 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W Thurston and Y Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets.

Download or read book Proceedings of the Euroworkshop on Foliations Geometry and Dynamics 29 May 9 June 2000 Warsaw Poland written by Pawe? Grzegorz Walczak and published by World Scientific. This book was released on 2002 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains surveys and research articles regarding different aspects of the theory of foliation.

Download or read book Gravitational Solitons written by Vladimir Belinski and published by Cambridge University Press. This book was released on 2001-07-19 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2001 book explains the construction of exact soliton solutions to Einstein's theory of gravity.

Download or read book Einstein s General Theory of Relativity written by Øyvind Grøn and published by Springer Science & Business Media. This book was released on 2007-08-24 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.

Download or read book General Relativity And Gravitational Physics Proceedings Of The 9th Italian Conference written by Ruggiero De Ritis and published by World Scientific. This book was released on 1991-08-28 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the proceedings of the 9th conference in this series. In addition to papers presented at the conference proper, it contains some papers delivered at Peter G Bergmann's 75th Birthday meeting (Capri, 24 Sept 1990). Among the subjects covered are cosmology and astrophysics, both theoretical and experimental.

Download or read book Cosmology and Particles written by Jean Audouze and published by Atlantica Séguier Frontières. This book was released on 1981 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: