Small-scale angular fluctuations in the microwave background radiation and the existence of isolated large-scale structures in the universe

Details Small-scale angular fluctuations in the microwave background radiation and the existence of isolated large-scale structures in the universe Small-scale angular fluctuations in the microwave background radiation and the existence of isolated large-scale structures in the universe

Jun 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...293...17g&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 293, June 1, 1985, p. 17-24. Research supported by the Junta de Energia Nuc

Statistics

Computation

3

Cosmology, Relic Radiation, Universe, Background Radiation, Computational Astrophysics, Microwaves, Temperature Inversions, Virgo Galactic Cluster

Scientific paper

The relative fluctuation of the present temperature associated with the microwave background radiation (MBR) on a small angular scale can be related for a general inhomogeneous cosmological model to the kinematical quantities, their gradients, and the Weyl tensor through the geodesic deviation equation. This result is applied to calculate the induction of temperature fluctuations in the MBR by a spherically symmetric cluster (or void) of matter or radiation or both, considered as a perturbation in a flat Friedmann universe with negligible pressure. For an isolated object (void or cluster) with radius of roughly 1000/h Mpc and located outside our present horizon, it is found that the relative mass fluctuation is bounded by the absolute value of dM/M of 10 percent or less. On the other hand, if we are near the cluster (or void) center, the observational angular fluctuations of the MBR imply that the absolute value of dM/M is about 10 percent or less.

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