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On the topology and future stability of the universe /
A general introduction to the initial value problem for Einstein's equations coupled to collisionless matter. The book contains a proof of future stability of models of the universe consistent with the current observational data and a discussion of the restrictions on the possible shapes of the...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Oxford University Press,
2013.
|
| Colección: | Oxford mathematical monographs.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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|---|---|---|---|
| 001 | EBSCO_ocn846507613 | ||
| 003 | OCoLC | ||
| 005 | 20231017213018.0 | ||
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| 008 | 130603s2013 enka ob 001 0 eng d | ||
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| 100 | 1 | |a Ringström, Hans. | |
| 245 | 1 | 0 | |a On the topology and future stability of the universe / |c Hans Ringström. |
| 260 | |a Oxford : |b Oxford University Press, |c 2013. | ||
| 300 | |a 1 online resource (xiv, 718 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Oxford mathematical monographs | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Online resource; title from pdf information screen (Ebsco, viewed June 3, 2013). | |
| 520 | 8 | |a A general introduction to the initial value problem for Einstein's equations coupled to collisionless matter. The book contains a proof of future stability of models of the universe consistent with the current observational data and a discussion of the restrictions on the possible shapes of the universe imposed by observations. | |
| 505 | 0 | |a Contents -- PART I: PROLOGUE -- 1 Introduction -- 1.1 General remarks on the limits of observations -- 1.2 The standard models of the universe -- 1.3 Approximation by matter of Vlasov type -- 2 The Cauchy problem in general relativity -- 2.1 The initial value problem in general relativity -- 2.2 Spaces of initial data and associated distance concepts -- 2.3 Minimal degree of regularity ensuring local existence -- 2.4 On linearisations -- 3 The topology of the universe -- 3.1 An example of how to characterise topology by geometry | |
| 505 | 8 | |a 3.2 Geometrisation of 3-manifolds3.3 A vacuum conjecture -- 4 Notions of proximity to spatial homogeneity and isotropy -- 4.1 Almost EGS theorems -- 4.2 On the relation between solutions with small spatial variation and spatially homogeneous solutions -- 5 Observational support for the standard model -- 5.1 Using observations to determine the cosmological parameters -- 5.2 Distance measurements -- 5.3 Supernovae observations -- 5.4 Concluding remarks -- 6 Concluding remarks -- 6.1 On the technical formulation of stability | |
| 505 | 8 | |a 6.2 Notions of proximity to spatial homogeneity and isotropy6.3 Models of the universe with arbitrary closed spatial topology -- 6.4 The cosmological principle -- 6.5 Symmetry assumption -- PART II: INTRODUCTORY MATERIAL -- 7 Main results -- 7.1 Vlasov matter -- 7.2 Scalar field matter -- 7.3 The equations -- 7.4 The constraint equations -- 7.5 Previous results -- 7.6 Background solution and intuition -- 7.7 Drawing global conclusions from local assumptions -- 7.8 Stability of spatially homogeneous solutions | |
| 505 | 8 | |a ""7.9 Limitations on the global topology imposed by local observations""""8 Outline, general theory of the Einstein�Vlasov system""; ""8.1 Main goals and issues""; ""8.2 Background""; ""8.3 Function spaces and estimates""; ""8.4 Existence, uniqueness and stability""; ""8.5 The Cauchy problem in general relativity""; ""9 Outline, main results""; ""9.1 Spatially homogeneous solutions""; ""9.2 Stability in the n-torus case""; ""9.3 Estimates for the Vlasov matter, future global existence and asymptotics""; ""9.4 Proof of the main results""; ""10 References to the literature and outlook"" | |
| 505 | 8 | |a 10.1 Local existence10.2 Generalisations -- 10.3 Potential improvements -- 10.4 References to the literature -- PART III: BACKGROUND AND BASIC CONSTRUCTIONS -- 11 Basic analysis estimates -- 11.1 Terminology concerning differentiation and weak derivatives -- 11.2 Weighted Sobolev spaces -- 11.3 Sobolev spaces on the torus -- 11.4 Sobolev spaces for distribution functions -- 11.5 Sobolev spaces corresponding to a non-integer number of derivatives -- 11.6 Basic analysis estimates -- 11.7 Locally x-compact support -- 12 Linear algebra | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Cauchy problem. | |
| 651 | 0 | |a Universe. | |
| 650 | 6 | |a Problème de Cauchy. | |
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| 651 | 7 | |a Universe |2 fast | |
| 776 | 0 | 8 | |i Print version |z 9780199680290 |
| 830 | 0 | |a Oxford mathematical monographs. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=579031 |z Texto completo |
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