Blueshifts in the Lemaître-Tolman models

Andrzej Krasiński
Phys. Rev. D 90, 103525 – Published 19 November 2014

Abstract

In the Lemaître-Tolman (L-T) models that have nonconstant bang-time function tB(r), light emitted close to those points of the big bang where dtB/dr0 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 tB(r) 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 LT(tB)—the one that duplicates the luminosity distance vs redshift relation of the ΛCDM model using nonconstant tB(r) alone. The location of the blueshift-generating region in the LT(tB) spacetime is determined. Profiles of redshift/blueshift along several rays intersecting the past light cone of the present central observer are calculated. The LT(tB) 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 LT(tB) 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 dtB/dr.

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  • Received 19 September 2014

DOI:https://doi.org/10.1103/PhysRevD.90.103525

© 2014 American Physical Society

Authors & Affiliations

Andrzej Krasiński*

  • N. Copernicus Astronomical Centre, Polish Academy of Sciences, Bartycka 18, 00 716 Warszawa, Poland

  • *akr@camk.edu.pl

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Issue

Vol. 90, Iss. 10 — 15 November 2014

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