Averaging of a locally inhomogeneous realistic universe

Toshifumi Futamase

研究成果: Article査読

84 被引用数 (Scopus)

抄録

We present an averaging scheme in general relativity which allows us to study the effect of local inhomogeneity on the global behavior of the universe. The scheme uses 3+1 splitting of spacetime and introduces Isaacson averaging on the spatial hypersurface to get the averaged geometry. As a result of the averaging, the Friedmann-Robertson-Walker (FWR) geometry is derived in the first-order approximation for a wide class of inhomogeneous nonlinear matter distribution. The deviation from the FRW expansion is derived to the next order in terms of the anisotropic distribution of an effective stress-energy tensor. Using a simple model of inhomogeneity we show that the average effect of the inhomogeneity behaves like a negative spatial curvature term and thus has a tendency to extend the age of the universe.

本文言語English
ページ(範囲)681-689
ページ数9
ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
53
2
DOI
出版ステータスPublished - 1996

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学
  • 物理学および天文学(その他)

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