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Gravity, a Geometrical Course - Volume 2: Black Holes, Cosmology and Introduction to Supergravity (Paperback, 2013 ed.)
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Gravity, a Geometrical Course - Volume 2: Black Holes, Cosmology and Introduction to Supergravity (Paperback, 2013 ed.)
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'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 Fre 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.
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