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: General Relativity
  name:
    name part: Woodhouse, N. M. J.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2007
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: X, 220 p. 33 illus. online resource.
  abstract: Based on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity. Although the original audience was made up of mathematics students, the focus is on the chain of reasoning that leads to the relativistic theory from the analysis of distance and time measurements in the presence of gravity, rather than on the underlying mathematical structure. The geometric ideas - which are central to the understanding of the nature of gravity - are introduced in parallel with the development of the theory, the emphasis being on laying bare how one is led to pseudo-Riemannian geometry through a natural process of reconciliation of special relativity with the equivalence principle. At centre stage are the "local inertial coordinates" set up by an observer in free fall, in which special relativity is valid over short times and distances. In more practical terms, the book is a sequel to the author's Special Relativity in the same series, with some overlap in the treatment of tensors. The basic theory is presented using techniques, such as phase-plane analysis, that will already be familiar to mathematics undergraduates, and numerous problems, of varying levels of difficulty, are provided to test understanding. The latter chapters include the theoretical background to contemporary observational tests - in particular the detection of gravitational waves and the verification of the Lens-Thirring precession - and some introductory cosmology, to tempt the reader to further study. While primarily designed as an introduction for final-year undergraduates and first-year postgraduates in mathematics, the book is also accessible to physicists who would like to see a more mathematical approach to the ideas.
  table of contents: Newtonian Gravity -- Inertial Coordinates and Tensors -- Energy-Momentum Tensors -- Curved Space—Time -- Tensor Calculus -- Einstein’s Equation -- Spherical Symmetry -- Orbits in the Schwarzschild Space—Time -- Black Holes -- Rotating Bodies -- Gravitational Waves -- Redshift and Horizons.
  note: by N. M. J. Woodhouse.
  subject:
    topic: Physics
  subject:
    topic: Applied mathematics
  subject:
    topic: Engineering mathematics
  subject:
    topic: Differential geometry
  subject:
    topic: Gravitation
  subject:
    topic: Astronomy
  subject:
    topic: Astrophysics
  subject:
    topic: Cosmology
  subject:
    topic: Physics
  subject:
    topic: Classical and Quantum Gravitation, Relativity Theory
  subject:
    topic: Applications of Mathematics
  subject:
    topic: Theoretical, Mathematical and Computational Physics
  subject:
    topic: Differential Geometry
  subject:
    topic: Astronomy, Astrophysics and Cosmology
  classification: QC178
  classification: QC173.5-173.65
  classification: 530.1
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Undergraduate Mathematics Series
  identifier: 9781846284878
  identifier: http://dx.doi.org/10.1007/978-1-84628-487-8
  record info:
    record creation date: 100301
    record change date: 20151204181327.0
    record identifier: 978-1-84628-487-8