Physics – Optics
Scientific paper
May 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976nciml..16...17l&link_type=abstract
Nuovo Cimento, Lettere, vol. 16, May 1, 1976, p. 17-21. Research supported by the National Research Council of Canada.
Physics
Optics
10
Astronomical Models, Big Bang Cosmology, Eikonal Equation, Frequency Shift, White Holes (Astronomy), Geodesic Lines, Optics, Schwarzschild Metric, Universe
Scientific paper
The eikonal, or geometric-optics, approximation is used to investigate the situation in which frequency shifts measured along a timelike geodesic approach a diverging blue shift. Those points of the approximation which are essential to a consideration of the present problem are reviewed, conditions under which a diverging blue shift will arise in the approximation are examined, and such a situation is illustrated in a conformal diagram. It is shown that a variety of stable inhomogeneous cosmological models can be constructed in the framework of the eikonal approximation. The specific example of a stable pressure-free inhomogeneity in a spherical expansion is considered, and it is found that the stability of an inhomogeneity of this type requires that the inner boundary of a pressure-free homogeneous external universe with positive spatial curvature originate from a curvature singularity at r = 0 (in general terms, a big-bang universe).
Lake Kayll
Roeder Robert C.
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