Cosmological Crossroads: An Advanced Course in Mathematical, Physical. and String Cosmology: 592 - Rilegato

Cotsakis, S.; Papantonopoulos, E.

Rilegato

ISBN 10: 3540437789 ISBN 13: 9783540437789

Casa editrice: Springer Nature, 2002

Riassunto

greatlytothe?neappearanceofthisbook. Karlovassi,Samos, SpirosCotsakis March2002 EleftheriosPapantonopoulos TableofContents PartI HistoryandOverview 1 IsNatureGeneric? SpirosCotsakis,PeterG. L. Leach. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1. 2 PrinciplesofCosmologicalModelling. . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 2. 1 Spacetimes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 1. 2. 2 TheoriesofGravity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 1. 2. 3 MatterFields. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1. 3 Cosmologies. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1. 4 CosmologicalProblems. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1. 4. 1 TheSingularityProblem. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1. 4. 2 TheProblemofCosmicTopology. . . . . . . . . . . . . . . . . . . . . 9 1. 4. 3 TheProblemofAsymptoticStates. . . . . . . . . . . . . . . . . . . . 9 1. 4. 4 GravityTheoriesandtheEarlyUniverse. . . . . . . . . . . . . . . 11 1. 5Outlook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14 2 EvolutionofIdeasinModernCosmology AndreasParaskevopoulos. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2. 2 TheBeginningsofModernCosmology(1917–1950). . . . . . . . . . . . . 17 2. 3 Cosmology1950–1970:HotBigBang, SingularitiesandQuantumApproach. . . . . . . . . . . . . . . . . . . . . . . . . 20 2. 4 Cosmology1970–1990:Chaotic,In?ationary, QuantumandAlternative. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22 2. 5ConclusionsandOutlook . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 References. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 VIII TableofContents PartII MathematicalCosmology 3ConstraintsandEvolutioninCosmology YvonneChoquet-Bruhat,JamesW. York. . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3. 1 Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3. 2 MovingFrameFormulas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3. 2. 1 FrameandCoframe. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 3. 2. 2 Metric. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3. 2. 3 Connection. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3. 2. 4 Curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 3. 3 (n+1)-SplittingAdaptedtoSpaceSlices . . . . . . . . . . . . . . . . . . . . . 33 3. 3. 1 De?nitions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 3. 3. 2 StructureCoe?cients. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 3. 3. 3 SplittingoftheConnection . . . . . . . . . . . . . . . . . . . . . . . . . .

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This book has grown out of lectures held at a summer school on cosmology, in response to an ever increasing need for an advanced textbook that addresses the needs of both postgraduate students and nonspecialist researchers from various disciplines ranging from mathematical physics to observational astrophysics. Bridging the gap between standard textbook material in cosmology and the forefront of research, this book also constitutes a modern source of reference for the experienced researcher in classical and quantum cosmology.

Dettagli dell'edizione

• Editore: Springer Nature
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 3540437789
• ISBN 13: 9783540437789
• Rilegatura: Copertina rigida
• Numero di pagine: 477
• Contatto del produttore: non disponibile
• Persona responsabile: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3,69115 Heidelberg, Germany; Heidelberg; 69115; Germania