LEADER 04007nam 2200577Ia 450 001 9910438117603321 005 20200520144314.0 010 $a1-283-90990-1 010 $a94-007-5361-6 024 7 $a10.1007/978-94-007-5361-7 035 $a(CKB)2670000000280503 035 $a(EBL)1083547 035 $a(OCoLC)818734071 035 $a(SSID)ssj0000798699 035 $a(PQKBManifestationID)11459996 035 $a(PQKBTitleCode)TC0000798699 035 $a(PQKBWorkID)10754740 035 $a(PQKB)10801549 035 $a(DE-He213)978-94-007-5361-7 035 $a(MiAaPQ)EBC1083547 035 $a(PPN)168340690 035 $a(EXLCZ)992670000000280503 100 $a20121001d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGravity, a geometrical course$hVolume 1$iDevelopment of the theory and basic physical applications /$fPietro Giuseppe Fre 205 $a1st ed. 2013. 210 $aDordrecht ;$aNew York $cSpringer$d2012 215 $a1 online resource (345 p.) 300 $aDescription based upon print version of record. 311 $a94-007-9544-0 311 $a94-007-5360-8 320 $aIncludes bibliographical references and index. 327 $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. 330 $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 Frč is Professor of Theoretical Physics at the University of Torino, Italy. He has taught General Relativity for 15 years. 606 $aGravity 606 $aMechanics 615 0$aGravity. 615 0$aMechanics. 676 $a531.14 700 $aFre$b Pietro Giuseppe$00 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438117603321 996 $aGravity, a Geometrical Course$92155944 997 $aUNINA