How Do Nonlinear Voids Affect Light Propagation ? | Zendy

N. Sugiura | Zendy; K.-i. Nakao | Zendy; Daisuke Ida | Zendy; Nobuyuki Sakai | Zendy; Hideki Ishihara | Zendy

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How Do Nonlinear Voids Affect Light Propagation ?

Author(s) -

N. Sugiura,

K.-i. Nakao,

Daisuke Ida,

Nobuyuki Sakai,

Hideki Ishihara

Publication year - 2000

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.103.73

Subject(s) - physics , void (composites) , friedmann–lemaître–robertson–walker metric , particle horizon , universe , redshift , shape of the universe , astrophysics , angular diameter , metric expansion of space , classical mechanics , de sitter universe , cosmology , galaxy , dark energy , stars , materials science , composite material , steady state theory

Propagation of light in a clumpy universe is examined. As an inhomogeneousmatter distribution, we take a spherical void surrounded by a dust shell wherethe ``lost mass'' in the void is compensated by the shell. We study how theangular-diameter distance behaves when such a structure exists. Theangular-diameter distance is calculated by integrating the Raychaudhuriequation including the shear. An explicit expression for the junction conditionfor the massive thin shell is calculated. We apply these results to a dustshell embedded in a Friedmann universe and determine how the distance-redshiftrelation is modified compared with that in the purely Friedmann universe. Wealso study the distribution of distances in a universe filled with voids. Weshow that the void-filled universe gives a larger distance than the FRWuniverse by $\sim 5%$ at $z \sim 1$ if the size of the void is $\sim 5%$ of theHorizon radius.Comment: To appear in Prog. Theor. Phys. 10

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