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Analytical and Numerical Approaches to Mathematical Relativity pp 141–155Cite as

Mathematical Properties of Cosmological Models with Accelerated Expansion

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Part of the book series: Lecture Notes in Physics ((LNP,volume 692))

Abstract

An introduction to solutions of the Einstein equations defining cosmological models with accelerated expansion is given. Connections between mathematical and physical issues are explored. Theorems which have been proved for solutions with positive cosmological constant or nonlinear scalar fields are reviewed. Some remarks are made on more exotic models such as the Chaplygin gas, tachyons and k-essence.

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Author information

Authors and Affiliations

  1. Max-Planck-Institut für Gravitationsphysik, Am Mühlenberg 1, Golm, 14476, Germany

    Alan D. Rendall

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  1. Alan D. Rendall
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Astrophysik, Universität Tübingen, Auf der Morgenstelle 10, Tübingen, 72076, Germany

    Jörg Frauendiener

  2. Fakultät für Physik und Mathematik, Universität Freiburg, Hermann-Herder-Str. 3, Freiburg, 79104, Germany

    Domenico J.W. Giulini

  3. Institut für Theoretische Physik, TU Berlin, Hardenbergstrasse 36, Berlin, 10623, Germany

    Volker Perlick

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© 2006 Springer

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Rendall, A.D. (2006). Mathematical Properties of Cosmological Models with Accelerated Expansion. In: Frauendiener, J., Giulini, D.J., Perlick, V. (eds) Analytical and Numerical Approaches to Mathematical Relativity. Lecture Notes in Physics, vol 692. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-33484-X_7

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