Topological Analysis of COBEDMR Cosmic Microwave Background Maps
Abstract
Geometric characteristics of random fields are exploited to test the consistency of density perturbation model spectra with COBE data. These CMB maps are analyzed using the number of anisotropy hot spots and their boundary curvature. CMB maps which account for instrumental effects and sky coverage are Monte Carlo generated. These simulations show that a scaleinvariant HarrisonZeldovich primordial Gaussian density fluctuation spectrum is consistent with the data. The CMB fluctuation coherence angle, based on boundary curvature, gives a spectral index n = 1.2 +/ 0.3.
 Publication:

The Astrophysical Journal
 Pub Date:
 March 1994
 DOI:
 10.1086/187223
 Bibcode:
 1994ApJ...423L...9T
 Keywords:

 Astronomical Maps;
 Background Radiation;
 Cosmic Rays;
 Density (Number/Volume);
 Microwaves;
 Radio Astronomy;
 Topology;
 Variations;
 Computation;
 Computerized Simulation;
 Cosmic Background Explorer Satellite;
 Monte Carlo Method;
 Numerical Analysis;
 Astrophysics;
 COSMOLOGY: COSMIC MICROWAVE BACKGROUND