Gravity, a Geometrical Course

Volume 2: Black Holes, Cosmology and Introduction to Supergravity

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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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 is divided in two volumes. 

Volume Two is covers black holes, cosmology and an introduction to supergravity. The aim of this volume is two-fold. It completes the presentation of GR and it introduces the reader to theory of gravitation beyond GR, which is supergravity.  Starting with a short history of the black hole concept,  the book covers the Kruskal extension of the Schwarzschild metric, the causal structures of Lorentzian manifolds, Penrose diagrams and a detailed analysis of the Kerr-Newman metric. An extensive historical account of the development of modern cosmology is followed by a detailed presentation of its mathematical structure, including non-isotropic cosmologies and billiards, de Sitter space and inflationary scenarios, perturbation theory and anisotropies of the Cosmic Microwave Background. The last three chapters deal with the mathematical and conceptual foundations of supergravity in the frame of free differential algebras.  Branes are presented both as classical solutions of the bulk theory and as world-volume gauge theories with particular emphasis on the geometrical interpretation of kappa-supersymmetry. The rich bestiary of special geometries underlying supergravity lagrangians is  presented, followed by a chapter providing glances on the equally rich collection of special solutions of supergravity.

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 (10 chapters)

  • Introduction

    Frè, Pietro Giuseppe

    Pages 1-2

  • Extended Space-Times, Causal Structure and Penrose Diagrams

    Frè, Pietro Giuseppe

    Pages 3-42

  • Rotating Black Holes and Thermodynamics

    Frè, Pietro Giuseppe

    Pages 43-70

  • Cosmology: A Historical Outline from Kant to WMAP and PLANCK

    Frè, Pietro Giuseppe

    Pages 71-105

  • Cosmology and General Relativity: Mathematical Description of the Universe

    Frè, Pietro Giuseppe

    Pages 107-209

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-94-007-5443-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-94-007-5442-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-94-007-9885-4
  • 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 2: Black Holes, Cosmology and Introduction to Supergravity
Authors
Copyright
2013
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-007-5443-0
DOI
10.1007/978-94-007-5443-0
Hardcover ISBN
978-94-007-5442-3
Softcover ISBN
978-94-007-9885-4
Edition Number
1
Number of Pages
XX, 452
Topics