Topology of microwave background fluctuations - Theory

Details Topology of microwave background fluctuations - Theory Topology of microwave background fluctuations - Theory

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990apj...352....1g&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 352, March 20, 1990, p. 1-14. Research supported by New Jersey High Technol

Statistics

Computation

141

Computational Astrophysics, Relic Radiation, Microwaves, Normal Density Functions, Probability Distribution Functions, Signal To Noise Ratios, Sky Surveys (Astronomy), Temperature Gradients, Topology

Scientific paper

Topological measures are used to characterize the microwave background temperature fluctuations produced by 'standard' scenarios (Gaussian) and by cosmic strings (non-Gaussian). Three topological quantities: total area of the excursion regions, total length, and total curvature (genus) of the isotemperature contours, are studied for simulated Gaussian microwave background anisotropy maps and then compared with those of the non-Gaussian anisotropy pattern produced by cosmic strings. In general, the temperature gradient field shows the non-Gaussian behavior of the string map more distinctively than the temperature field for all topology measures. The total contour length and the genus are found to be more sensitive to the existence of a stringy pattern than the usual temperature histogram. Situations when instrumental noise is superposed on the map, are considered to find the critical signal-to-noise ratio for which strings can be detected.

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