The Einstein-Vlasov system with a scalar field

Lee, Hayoung

アイテム詳細

登録内容を編集ファイル形式で保存

一時保存へ追加

タグ情報を表示リリース履歴を表示詳細要約

公開

学術論文

The Einstein-Vlasov system with a scalar field

MPS-Authors

Lee, Hayoung
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource

There are no locators available

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

フルテキスト (公開)

0404007.pdf
(プレプリント), 299KB

付随資料 (公開)

There is no public supplementary material available

引用

Lee, H. (2005). The Einstein-Vlasov system with a scalar field. Annales Henri Poincare, 6, 697-723.

引用: https://hdl.handle.net/11858/00-001M-0000-0013-4E5D-B

要旨

We study the Einstein-Vlasov system coupled to a nonlinear scalar field with a nonnegative potential in locally spatially homogeneous spacetime, as an expanding cosmological model. It is shown that solutions of this system exist globally in time. When the potential of the scalar field is of an exponential form, the cosmological model corresponds to accelerated expansion. The Einstein-Vlasov system coupled to a nonlinear scalar field whose potential is of an exponential form shows the causal geodesic completeness of the spacetime towards the future. The asymptotic behaviour of solutions of this system in the future time is analysed in various aspects, which shows power-law expansion.