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Gravity, a Geometrical Course

Volume 1: Development of the Theory and Basic Physical Applications

Authors: Frè, Pietro Giuseppe

  • Presents general relativity not in isolation, but as a cornerstone of modern theoretical physics
  • Gives a systematic exposition of the theory in a self-contained but rigorous mathematical language and includes complete analytical studies of some relevant proplems
  • Covers both classical general relativity and supergravity
  • Offers plenty of historical background on the physicists relevant to the theories presented 
  • Enriched with useful appendices with material on spinors, Mathematica programmes, and much more
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  • ISBN 978-94-007-5361-7
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Hardcover $69.99
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price for USA
valid through February 28, 2018
  • ISBN 978-94-007-5360-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
$119.99 (listprice)
price for USA
valid through February 28, 2018
  • ISBN 978-94-007-9544-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
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About this book

‘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, divided in two volumes, is a rich resource for graduate students and those who wish to gain a deep knowledge of the subject without an instructor.  

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 and is currently serving as Scientific Counsellor of the Italian Embassy in Moscow. His scientific passion lies in supergravity and all allied topics, since the inception of the field, in 1976. He was professor at SISSA, worked in the USA and at CERN. He has taught General Relativity for 15 years. He has previously two scientific monographs, “Supergravity and Superstrings” and “The N=2 Wonderland”, He is also the author of a popular science book on cosmology and two novels, in Italian.

About the authors

Pietro Frè is Professor of Theoretical Physics at the University of Torino, Italy and is currently serving as Scientific Counsellor of the Italian Embassy in Moscow. His scientific passion lies in supergravity and all allied topics, since the inception of the field, in 1976. He was professor at SISSA, worked in the USA and at CERN. He has taught General Relativity for 15 years. He has previously published two scientific monographs, “Supergravity and Superstrings” and “The N=2 Wonderland”. He is also the author of a popular science book on cosmology (“Il fascino oscuro dell’inflazione”, Springer 2009), and two novels, in Italian.

Table of contents (8 chapters)

  • Special Relativity: Setting the Stage

    Frè, Pietro Giuseppe

    Pages 1-33

  • Basic Concepts About Manifolds and Fibre Bundles

    Frè, Pietro Giuseppe

    Pages 35-84

  • Connections and Metrics

    Frè, Pietro Giuseppe

    Pages 85-155

  • Motion of a Test Particle in the Schwarzschild Metric

    Frè, Pietro Giuseppe

    Pages 157-185

  • Einstein Versus Yang-Mills Field Equations: The Spin Two Graviton and the Spin One Gauge Bosons

    Frè, Pietro Giuseppe

    Pages 187-236

Buy this book

eBook $54.99
$109.00 (listprice)
price for USA (gross)
valid through February 28, 2018
  • ISBN 978-94-007-5361-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
$139.99 (listprice)
price for USA
valid through February 28, 2018
  • ISBN 978-94-007-5360-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
$119.99 (listprice)
price for USA
valid through February 28, 2018
  • ISBN 978-94-007-9544-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Gravity, a Geometrical Course
Book Subtitle
Volume 1: Development of the Theory and Basic Physical Applications
Authors
Copyright
2013
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-007-5361-7
DOI
10.1007/978-94-007-5361-7
Hardcover ISBN
978-94-007-5360-0
Softcover ISBN
978-94-007-9544-0
Edition Number
1
Number of Pages
XVIII, 338
Topics