Mathematics – Logic
Scientific paper
Dec 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996aas...189.5105k&link_type=abstract
American Astronomical Society, 189th AAS Meeting, #51.05; Bulletin of the American Astronomical Society, Vol. 28, p.1342
Mathematics
Logic
Scientific paper
We calculate the angular power spectrum, C_l, of the cosmic microwave background (CMB) induced by cosmic strings at all angular scales greater than ~ 10'. We do this by integrating the Green's functions for the microwave anisotropy multiplied by the stress-energy tensor for the strings to get the anisotropy observed today -- from which we estimate the angular power spectrum. The stress-energy tensor of the strings is calculated by numerical evolution of the string network in a matter-dominated Universe. The Green's functions are calculated by solving the Boltzmann equation for photon transport in the presence of scalar, vector and tensor metric perturbations. Here we display the equations, discuss approximations related to the string simulation, and show the results for the angular power spectrum, C_l. The Green's functions can be applied to other simulations of topological defects.
Allen Ben
Caldwell Robert R.
Dodelson Scott
Knox Lloyd
Shellard P. S. E.
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