LEADER 04512nam 2200577Ia 450 001 9910438121703321 005 20200520144314.0 010 $a1-283-90991-X 010 $a94-007-5443-4 024 7 $a10.1007/978-94-007-5443-0 035 $a(CKB)2670000000280508 035 $a(EBL)1083560 035 $a(OCoLC)818734073 035 $a(SSID)ssj0000798700 035 $a(PQKBManifestationID)11502349 035 $a(PQKBTitleCode)TC0000798700 035 $a(PQKBWorkID)10754623 035 $a(PQKB)10299389 035 $a(DE-He213)978-94-007-5443-0 035 $a(MiAaPQ)EBC1083560 035 $a(PPN)168340941 035 $a(EXLCZ)992670000000280508 100 $a20121026d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGravity, a geometrical course$hVolume 2$iBlack holes, cosmology and introduction to supergravity /$fby Pietro Giuseppe Fre 205 $a1st ed. 2013. 210 $aDordrecht $cSpringer Science$d2012 215 $a1 online resource (465 p.) 300 $aDescription based upon print version of record. 311 $a94-007-9885-7 311 $a94-007-5442-6 320 $aIncludes bibliographical references and index. 327 $aAcknowledgement -- Preface -- 1 -- Introduction -- 2. Extended Space-Times, Causal Structure and Penrose Diagrams -- 3. Rotating Black-Holes and Thermodynamics -- 4. Cosmology: a Historical Outline from Kant to WMAP and Planck -- 5. Cosmology and General Relativity: Mathematical Description of the Universe -- 6. Supergravity: the Principles -- 7. The Branes: Three Viewpoints -- 8. Supergravity: a Bestiary in Diverse Dimensions -- 9. Supergravity: an Anthology of Solutions -- 10. Conclusion of Volume Two -- Appendix A. Spinors and gamma matrix algebra -- Appendix B. Auxiliary tools for p-brane actions -- Apprndix C. Auxiliary information about some superalgebras -- Appendix D. Mathematica Package NOVAMANIFOLDA -- Appendix E. Examples of the use of the package NOVAMANIFOLDA -- 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 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 Frč is Professor of Theoretical Physics at the University of Torino, Italy. He has taught General Relativity for 15 years. 606 $aGravity 606 $aGeophysics 615 0$aGravity. 615 0$aGeophysics. 676 $a530.1 700 $aFre$b Pietro Giuseppe$00 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438121703321 996 $aGravity, a Geometrical Course$92155944 997 $aUNINA