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  How far can observable relations determine a Robertson-Walker metric?

Ehlers, J., & Rindler, W. (1987). How far can observable relations determine a Robertson-Walker metric? Astronomy and Astrophysics, 174(1-2), 1-4.

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333206.pdf (Publisher version), 574KB
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 Creators:
Ehlers, Jürgen1, Author
Rindler, Wolfgang1, Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: The use of observable relations (kinematic information) to determine a relativistic model of the universe is examined. The relations between the apparent luminosity of distant galaxies as a function of redshift, S(z), the number of galaxies per unit solid angle up to redshift, N(z), the average cross-sectional area of a galaxy orthogonal to the line of sight, the intrinsic luminosity of a standard galxay, L(t), and the proper number density of galaxies in the past, n(t), are studied. The calculation of the expansion factor and curvature of the Robertson-Walker metric using the S(z) and N(z) combined with L(t) and n(t) is described, and the necessary equations are provided.

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 Dates: 1987-03
 Publication Status: Issued
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 Identifiers: eDoc: 333206
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Title: Astronomy and Astrophysics
  Alternative Title : Astron. Astrophys.
Source Genre: Journal
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Pages: - Volume / Issue: 174 (1-2) Sequence Number: - Start / End Page: 1 - 4 Identifier: ISSN: 0004-6361