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Light Propagation and the Distance-Redshift Relation in a Realistic Inhomogeneous Universe

Light Propagation and the Distance-Redshift Relation in a Realistic Inhomogeneous Universe


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About the Book

The propagation of light rays in a clumpy universe constructed by cosmological version of the post-Newtonian approximation was investigated. It is shown that linear approximation to the propagation equations is valid in the region where zeta is approximately less than 1 even if the density contrast is much larger than unity. Based on a gerneral order-of-magnitude statistical consideration, it is argued that the linear approximation is still valid where zeta is approximately greater than 1. A general formula for the distance-redshift relation in a clumpy universe is given. An explicit expression is derived for a simplified situation in which the effect of the gravitational potential of inhomogeneities dominates. In the light of the derived relation, the validity of the Dyer-Roeder distance is discussed. Also, statistical properties of light rays are investigated for a simple model of an inhomogeneous universe. The result of this example supports the validity of the linear approximation. Futamase, Toshifumi and Sasaki, Misao Unspecified Center NAGW-1340...


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Product Details
  • ISBN-13: 9781722339043
  • Publisher: Createspace Independent Publishing Platform
  • Publisher Imprint: Createspace Independent Publishing Platform
  • Height: 279 mm
  • No of Pages: 28
  • Spine Width: 2 mm
  • Width: 216 mm
  • ISBN-10: 1722339047
  • Publisher Date: 05 Jul 2018
  • Binding: Paperback
  • Language: English
  • Returnable: N
  • Weight: 91 gr


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