Abstract
In the Lemaître-Tolman (L-T) models that have nonconstant bang-time function , light emitted close to those points of the big bang where is blueshifted at the receiver position. The blueshifted rays are expected to perturb the temperature of the cosmic microwave background radiation along the lines of sight of the present central observer. It is shown here that, in a general L-T model, the can be chosen so that the blueshift-generating region is hidden before the recombination time, where the L-T model does not apply. The rest of the paper is devoted to investigating blueshifts in one specific L-T model, called —the one that duplicates the luminosity distance vs redshift relation of the model using nonconstant alone. The location of the blueshift-generating region in the spacetime is determined. Profiles of redshift/blueshift along several rays intersecting the past light cone of the present central observer are calculated. The model matched to Friedmann is considered, and profiles of redshift/blueshift in such a composite model are calculated. The requirement of invisibility of blueshifts makes the model astrophysically unacceptable if it should apply back to the recombination time, but it does not “rule out” a general L-T model—it only puts limits on .
5 More- Received 19 September 2014
DOI:https://doi.org/10.1103/PhysRevD.90.103525
© 2014 American Physical Society