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001 978-94-007-5361-7
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008 121026s2013 ne | s |||| 0|eng d
020 _a9789400753617
_9978-94-007-5361-7
024 7 _a10.1007/978-94-007-5361-7
_2doi
050 4 _aQC178
050 4 _aQC173.5-173.65
072 7 _aPHDV
_2bicssc
072 7 _aPHR
_2bicssc
072 7 _aSCI033000
_2bisacsh
082 0 4 _a530.1
_223
100 1 _aFrè, Pietro Giuseppe.
_eauthor.
245 1 0 _aGravity, a Geometrical Course
_h[electronic resource] :
_bVolume 1: Development of the Theory and Basic Physical Applications /
_cby Pietro Giuseppe Frè.
264 1 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2013.
300 _aXVIII, 336 p. 125 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aAcknowledgement -- Preface -- Special Relativity: setting the stage.- Manifolds and fibre bundles -- Connections and Metrics -- Motion in the Schwarzschild Field -- Einstein versus Yang Mills Field Equations -- Stellar Equilibrium -- Gravitational Waves and the Binary Pulsars -- Conclusion of volume 1 -- Appendix A: Spinors and Gamma Matrix Algebra -- Appendix B: Mathematica Packages -- Index.
520 _a‘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 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. He has taught General Relativity for 15 years.
650 0 _aPhysics.
650 0 _aMathematical physics.
650 1 4 _aPhysics.
650 2 4 _aClassical and Quantum Gravitation, Relativity Theory.
650 2 4 _aQuantum Field Theories, String Theory.
650 2 4 _aCosmology.
650 2 4 _aMathematical Methods in Physics.
650 2 4 _aHistory and Philosophical Foundations of Physics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9789400753600
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-5361-7
912 _aZDB-2-PHA
999 _c99606
_d99606