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220330s2013 xxkd|||f |||| 001 0 eng d |
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|a 9780199680290
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|a AR-BaUEN
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|c AR-BaUEN
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|a xxk
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|a 515.1:517.955
|b R582
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|a Ringström, Hans
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|a On the topology and future stability of the universe /
|c Hans Ringström
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|a 1st. ed.
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|a Oxford :
|b Oxford University Press,
|c c2013
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| 300 |
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|a xiv, 718 p. :
|b il., gráfs.
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|a Oxford mathematical monographs
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|a Referencias bibliográficas pp. 707-713.
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|a Índice analítico de materias.
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|t Part I: Prologue
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|g 1
|t Introduction
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|g 2
|t The Cauchy problem in general relativity
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|g 3
|t The topology of the universe
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|g 4
|t Notions of proximity to spatial homogeneity and isotropy
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|g 5
|t Observational support for the standard model
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|g 6
|t Concluding remarks
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|t Part II: Introductory material
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|g 7
|t Main results
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|g 8
|t Outline, general theory of the Einstein-Vlasov system
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|g 9
|t Outline, main results
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|g 10
|t References to the literature and outlook
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|t Part III: background and basic constructions
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|g 11
|t Basic analysis estimates
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|g 12
|t Linear algebra
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|g 13
|t Coordinates
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|t Part IV: function spaces, estimates
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|g 14
|t Function spaces for distribution functions I: local theory
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|g 15
|t Function spaces for distribution functions II: the manifold setting
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|g 16
|t Main weighted estimate
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|g 17
|t Concepts of convergence
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|t Part V: local theory
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|g 18
|t Uniqueness
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|g 19
|t Local existence
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|g 20
|t Stability
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|t Part VI: the Cauchy problem in general relativity
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|g 21
|t The Vlasov equation
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|g 22
|t The initial value problem
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|g 23
|t Existence of a maximal globally hyperbolic development
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|g 24
|t Cauchy stability
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|t Part VII: spatial homogeneity
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|g 25
|t Spatially homogeneous metrics, symmetry reductions
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|g 26
|t Criteria ensuring global existence
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|g 27
|t A potential with a positive non-degenerate local minimum
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|g 28
|t Approximating perfect fluids with matter of Vlasov type
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|t Part VIII: future global nonlinear stability
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|g 29
|t Background material
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|g 30
|t Estimating the Vlasov contribution to the stress energy tensor
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|g 31
|t Global existence
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|g 32
|t Asymptotics
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|g 33
|t Proof of the stability results
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|g 34
|t Models, fitting the observations, with arbitrary closed spatial topology
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|t Part IX: appendices
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|g A
|t A: Examples of pathological behaviour of solutions to nonlinear wave equations
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|g B
|t B: Quotients and universal covering spaces
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|g C
|t C: Spatially homogeneous and isotropic metrics
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|g D
|t D: Auxiliary computations in low regularity
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|g E
|t E: The curvature of left invariant metrics
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|g F
|t F: Comments concerning the Einstein-Boltzmann system
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| 650 |
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|2 spines
|a TOPOLOGIA
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| 650 |
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|2 spines
|a MODELOS COSMOLOGICOS
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| 650 |
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7 |
|2 tesamat
|a ESTABILIDAD, TEORIA DE (MATEMATICAS)
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| 650 |
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7 |
|2 tesamat
|a CAUCHY, PROBLEMA DE
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| 650 |
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|2 spines
|a TEORIA DE LA RELATIVIDAD
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|a ECUACIONES DE EINSTEIN-VLASOV
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| 962 |
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|a info:ar-repo/semantics/libro
|a info:eu-repo/semantics/book
|b info:eu-repo/semantics/publishedVersion
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|c 90016
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