Statistics
Scientific paper
Nov 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phdt........20h&link_type=abstract
Ph.D. Thesis Harvard Univ., Cambridge, MA.
Statistics
Galactic Evolution, Galaxies, Gravitation Theory, Gravitational Lenses, Gauge Invariance, Microwaves, Perturbation Theory, Temperature Effects
Scientific paper
In chapter one the gravitational lensing properties were calculated for an isothermal sphere in which the singularity at the origin is replaced by a finite core, and contrasted with the singular case. It is shown that this can significantly alter the statistics of the lensing of distant quasars by both the known distribution of intervening galaxies, and also by a possible distribution of dark galaxies, as might be predicted in biased galaxy formation models. In chapter two the results of chapter one were used to investigate the effect of distortions in the temperature of the cosmic microwave background radiation due to the presence of soft cored clusters of galaxies acting as gravitational lenses. The observability of the temperature, and distortion in large separation lens systems was discussed. It was concluded that the effect should be observable in systems where the angular image separation is as little as 20 in. In chapter three a generalization of the gauge invariant gravitational perturbation theory is presented, it was first introduced by Bardeen and subsequently refined by Brandenberger, Kahn, and Press. The resulting formalism offers a simpler scheme for calculating the growth of scalar gravitational perturbations.
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