Anisotropies of cosmic background radiation due to long cosmic strings.

Abstract

We investigate the anisotropies of cosmic microwave background radiation (CMBR) due to fast moving long cosmic strings. We have calculated the rms sky variation \ensuremath{\sigma}(10\ifmmode^\circ\else\textdegree\fi{}) with a 10\ifmmode^\circ\else\textdegree\fi{} full width at half maximum Gaussian smoothing, the quadrupole moment, and the ${\mathrm{\ensuremath{\chi}}}^{2}$ test for correlation functions. The Cosmic Background Explorer (COBE) results constrain the parameters as 1.0${\mathit{N}}^{1/2}$(G\ensuremath{\mu}\ensuremath{\beta}\ensuremath{\gamma}/${10}^{\mathrm{\ensuremath{-}}6}$)3.5 where N5 under our adopted model. It must be noted that the COBE results are reproduced; therefore, it remains a possibility that the anisotropies of CMBR detected by COBE have been induced by cosmic strings.