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020 _a9789400754430
_9978-94-007-5443-0
024 7 _a10.1007/978-94-007-5443-0
_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 2: Black Holes, Cosmology and Introduction to Supergravity /
_cby Pietro Giuseppe Frè.
264 1 _aDordrecht :
_bSpringer Netherlands :
_bImprint: Springer,
_c2013.
300 _aXX, 452 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
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 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 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 _aQuantum field theory.
650 0 _aString theory.
650 0 _aGravitation.
650 0 _aCosmology.
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:
_z9789400754423
856 4 0 _uhttp://dx.doi.org/10.1007/978-94-007-5443-0
912 _aZDB-2-PHA
942 _2Dewey Decimal Classification
_ceBooks
999 _c48590
_d48590