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:
    non sort: The
    title: General Theory of Relativity
    sub title: A Mathematical Exposition
  name:
    name part: Das, Anadijiban.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: DeBenedictis, Andrew.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2012
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXVI, 678 p. online resource.
  abstract: The General Theory of Relativity: A Mathematical Exposition will serve readers as a modern mathematical introduction to the general theory of relativity. Throughout the book, examples, worked-out problems, and exercises (with hints and solutions) are furnished. Topics in this book include, but are not limited to: • tensor analysis • the special theory of relativity • the general theory of relativity and Einstein’s field equations • spherically symmetric solutions and experimental confirmations • static and stationary space-time domains • black holes • cosmological models • algebraic classifications and the Newman-Penrose equations • the coupled Einstein-Maxwell-Klein-Gordon equations • appendices covering mathematical supplements and special topics Mathematical rigor, yet very clear presentation of the topics make this book a unique text for both university students and research scholars. Anadijiban Das has taught courses on Relativity Theory at The University College of Dublin, Ireland; Jadavpur University, India; Carnegie-Mellon University, USA; and Simon Fraser University, Canada. His major areas of research include, among diverse topics, the mathematical aspects of general relativity theory. Andrew DeBenedictis has taught courses in Theoretical Physics at Simon Fraser University, Canada, and is also a member of The Pacific Institute for the Mathematical Sciences. His research interests include quantum gravity, classical gravity, and semi-classical gravity.
  table of contents: Tensor Analysis on Differentiable Manifolds -- The Pseudo-Riemannian Space-Time Manifold M4 -- Spherically Symmetric Space-Time Domains -- Static and Stationary Space-Time Domains -- Black Holes -- Cosmology -- Algebraic Classification of Field Equations -- The Coupled Einstein-Maxwell-Klein-Gordon Equations -- Appendix 1: Variational Derivation of Differential Equations -- Appendix 2: Partial Differential Equations -- Appendix 3: Canonical Forms of Matrices -- Appendix 4: Conformally Flat Space-Times and "the Fifth Force" -- Appendix 5: Linearized Theory and Gravitational Waves -- Appendix 6: Exotic Solutions: Wormholes, Warp-Drives, and Time Machines -- Appendix 7: Gravitational Instantons -- Appendix 8: Computational Symbolic Algebra Calculations -- References -- Index of Symbols -- Index.
  note: by Anadijiban Das, Andrew DeBenedictis.
  subject:
    topic: Physics
  subject:
    topic: Global analysis (Mathematics)
  subject:
    topic: Manifolds (Mathematics)
  subject:
    topic: Mathematical physics
  subject:
    topic: Gravitation
  subject:
    topic: Cosmology
  subject:
    topic: Physics
  subject:
    topic: Classical and Quantum Gravitation, Relativity Theory
  subject:
    topic: Mathematical Physics
  subject:
    topic: Cosmology
  subject:
    topic: Mathematical Applications in the Physical Sciences
  subject:
    topic: Global Analysis and Analysis on Manifolds
  classification: QC178
  classification: QC173.5-173.65
  classification: 530.1
  related item:
    title info:
      title: Springer eBooks
  identifier: 9781461436584
  identifier: http://dx.doi.org/10.1007/978-1-4614-3658-4
  record info:
    record creation date: 120626
    record change date: 20151204161140.0
    record identifier: 978-1-4614-3658-4