Download or read book The Physical and Mathematical Foundations of the Theory of Relativity written by Antonio Romano and published by Springer Nature. This book was released on 2019-09-25 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Gravitation and Inertia written by Ignazio Ciufolini and published by Princeton University Press. This book was released on 2018-06-26 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's standard and battle-tested geometric theory of gravity--spacetime tells mass how to move and mass tells spacetime how to curve--is expounded in this book by Ignazio Ciufolini and John Wheeler. They give special attention to the theory's observational checks and to two of its consequences: the predicted existence of gravitomagnetism and the origin of inertia (local inertial frames) in Einstein's general relativity: inertia here arises from mass there. The authors explain the modern understanding of the link between gravitation and inertia in Einstein's theory, from the origin of inertia in some cosmological models of the universe, to the interpretation of the initial value formulation of Einstein's standard geometrodynamics; and from the devices and the methods used to determine the local inertial frames of reference, to the experiments used to detect and measure the "dragging of inertial frames of reference." In this book, Ciufolini and Wheeler emphasize present, past, and proposed tests of gravitational interaction, metric theories, and general relativity. They describe the numerous confirmations of the foundations of geometrodynamics and some proposed experiments, including space missions, to test some of its fundamental predictions--in particular gravitomagnetic field or "dragging of inertial frames" and gravitational waves.

Download or read book Relativity in Rotating Frames written by G. Rizzi and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even if the subject is a long-standing one, this is the first monograph on this field. On the one hand, this book is intended to give a rather wide review on this field, both in a historical and pedagogical perspective; on the other hand, it aims at critically re-examining and discussing the most controversial issues. For instance, according to some authors the celebrated Sagnac effect is a disproval of the theory of relativity applied to rotating frames; according to others, it is an astonishing experimental evidence of the relativistic theory. In order to give the reader a deeper insight into this research field, the contributing authors discuss their opinions on the main subjects in an enthralling virtual round table: in this way, the reader can get a direct comparison of the various viewpoints on the most controversial and interesting topics. This is particularly expedient, since the differences in the various approaches are often based upon subtleties that can be understood only by a direct comparison of the underlying hypotheses.

Download or read book Relativistic Theories of Materials written by A. Bressan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of relativity was created in 1905 to solve a problem concerning electromagnetic fields. That solution was reached by means of profound changes in fundamental concepts and ideas that considerably affected the whole of physics. Moreover, when Einstein took gravitation into account, he was forced to develop radical changes also in our space-time concepts (1916). Relativistic works on heat, thermodynamics, and elasticity appeared as early as 1911. However, general theories having a thermodynamic basis, including heat conduction and constitutive equations, did not appear in general relativity until about 1955 for fluids and appeared only after 1960 for elastic or more general finitely deformed materials. These theories dealt with materials with memory, and in this connection some relativistic versions of the principle of material indifference were considered. Even more recently, relativistic theories incorporating finite deformations for polarizable and magnetizable materials and those in which couple stresses are considered have been formulated. A broader description of the development of these relativistic topics is contained in § 13. The purpose of this book is to describe the foundations of the general relativistic theories that include constitutive equations, and to present some applications, mainly to elastic waves, of these theories. This tract is divided into two parts. In the first part only the Eulerian point of view is considered; basic equations of general relativity, other than constitutive equations, are stated in full generality (except for couple stresses which are considered in part 2). Part 1 also thoroughly covers fluids, including constitutive equations.

Download or read book General physics relativity astronomy and mathematical physics and methods written by and published by . This book was released on 1998 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rendiconti Del Seminario Matematico Della Universit Di Padova written by and published by . This book was released on 1981 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rendiconti del Seminario matematico della Universit di Padova written by Università di Padova. Seminario matematico and published by . This book was released on 1981 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Ricerche di matematica written by and published by . This book was released on 2012 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Atti della Reale Accademia delle scienze di Torino written by and published by . This book was released on 1996 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bollettino Della Unione Matematica Italiana written by and published by . This book was released on 1980 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Classical Mechanics and Relativity written by Giorgio Ferrarese and published by . This book was released on 1991 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Bollettino della Unione matematica italiana written by Unione matematica italiana and published by . This book was released on 1980 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rendiconti di matematica e delle sue applicazioni written by Istituto nazionale di alta matematica (Italy) and published by . This book was released on 1994 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rendiconti written by Università di Padova. Facoltà di scienze fisiche, matematiche e naturali. Seminario Matematico and published by . This book was released on 1981 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Alta frequenza written by and published by . This book was released on 1979 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rendiconti written by and published by . This book was released on 1975 with total page 1124 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Relativit generale written by C. Cattaneo and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: J. Ehlers: Gravitational Waves.- L. Bel: Sur quelques problèmes physiques relatifs au ds2 de Schwarzschild.- G. Ferrarese: Proprietà di secondo rodine di un generico riferimento fisico in relatività generale.- L. Mariot: Interprétations physiques du quinzième potentiel en théorie pentadimensionelle.- G. Caricato: Sul problema di Cauchy per le equazioni gravitazionali nel vuoto.