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Gravity, a Geometrical Course

Pietro Giuseppe Frè (Gebundene Ausgabe, Englisch)

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Beschreibung

‘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 isProfessor 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. Weniger zeigen

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Produktinformationen

Technische Daten

Erscheinungsdatum

24.10.2012

Sprache

Englisch

EAN

9789400753600

Herausgeber

Springer Netherland

Sonderedition

Nein

Autor

Pietro Giuseppe Frè

Seitenanzahl

338

Auflage

Einbandart

Gebundene Ausgabe

Buch Untertitel

Volume 1: Development of the Theory and Basic Physical Applications

Schlagwörter

Black Holes, Cosmological and Astrophysical Applications of GR, Gauge Theory, Gravitational Waves, Mathematical and Geometrical Foundations of General relativity, Supergravity and Supestring Theory, Textbook on General Relativity

Thema-Inhalt

PHDV - Gravitation PHP - Teilchen- und Hochenergiephysik PGK - Kosmologie und das Universum PHU - Mathematische Physik PDA - Wissenschaftsphilosophie und -theorie PH - Physik

Höhe

235 mm

Breite

15.5 cm

Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com

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