rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Gravity, a Geometrical Course
    sub title: Volume 1: Development of the Theory and Basic Physical Applications
  name:
    name part: Frè, Pietro Giuseppe.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: ne
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVIII, 338 p. online resource.
  abstract: ‘Gravity, a Geometrical Course’ presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues of contemporary research and observations, with glimpses on supergravity and superstring theory, iii) the historical development of scientific ideas underlying both the birth of general relativity and its subsequent evolution. The book is divided in two volumes. Volume One is dedicated to the development of the theory and basic physical applications. It guides the reader from the foundation of special relativity to Einstein field equations, illustrating some basic applications in astrophysics. A detailed account of the historical and conceptual development of the theory is combined with the presentation of its mathematical foundations. Differentiable manifolds, fibre-bundles, differential forms, and the theory of connections are covered, with a sketchy introduction to homology and cohomology. (Pseudo)-Riemannian geometry is presented both in the metric and in the vielbein approach. Physical applications include the motions in a Schwarzschild field leading to the classical tests of GR (light-ray bending and periastron advance) discussion of relativistic stellar equilibrium, white dwarfs, Chandrasekhar mass limit and polytropes. An entire chapter is devoted to tests of GR and to the indirect evidence of gravitational wave emission. The formal structure of gravitational theory is at all stages compared with that of non gravitational gauge theories, as a preparation to its modern extension, namely supergravity, discussed in the second volume. Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy. He has taught General Relativity for 15 years.
  table of contents: Acknowledgement -- Preface -- Special Relativity: setting the stage.- Manifolds and fibre bundles -- Connections and Metrics -- Motion in the Schwarzschild Field -- Einstein versus Yang Mills Field Equations -- Stellar Equilibrium -- Gravitational Waves and the Binary Pulsars -- Conclusion of volume 1 -- Appendix A: Spinors and Gamma Matrix Algebra -- Appendix B: Mathematica Packages -- Index.
  note: by Pietro Giuseppe Frè.
  subject:
    topic: Physics
  subject:
    topic: Quantum field theory
  subject:
    topic: String theory
  subject:
    topic: Gravitation
  subject:
    topic: Cosmology
  subject:
    topic: Physics
  subject:
    topic: Classical and Quantum Gravitation, Relativity Theory
  subject:
    topic: Quantum Field Theories, String Theory
  subject:
    topic: Cosmology
  subject:
    topic: Mathematical Methods in Physics
  subject:
    topic: History and Philosophical Foundations of Physics
  classification: QC178
  classification: QC173.5-173.65
  classification: 530.1
  related item:
    title info:
      title: Springer eBooks
  identifier: 9789400753617
  identifier: http://dx.doi.org/10.1007/978-94-007-5361-7
  record info:
    record creation date: 121026
    record change date: 20151204172900.0
    record identifier: 978-94-007-5361-7