Spectral Analysis of Microwave Background Perturbations Induced by Cosmic Strings

Details Spectral Analysis of Microwave Background Perturbations Induced by Cosmic Strings Spectral Analysis of Microwave Background Perturbations Induced by Cosmic Strings

1994-02-09

arxiv.org/abs/astro-ph/9402024v1

Astrophys.J.451:429-435,1995

Astronomy and Astrophysics

Astrophysics

16 pages + 6 figures (available upon request). CfA-3796. Submitted to the Astrophysical Journal. Use LaTeX

Scientific paper

10.1086/176231

Using a simple analytic model based on seed superposition we obtain the spectrum of microwave background perturbations induced by cosmic strings on all angular scales larger than about 2 armin. We assume standard recombination in an Einstein de Sitter universe with $h=1/2$ and study the fluctuation spectrum along a great circle in the sky. Doppler and potential perturbations on the last scattering surface (Sachs-Wolfe effect) are shown to dominate over post-recombination perturbations on scales smaller than about 2 degrees. Using a filter function corresponding to the COBE experiment we obtain an effective power spectrum index $n_{eff}\simeq 1.35$ in good agreement with the recently announced second year COBE data showing $n_{eff}\simeq 1.5$. The only free parameter ($G\mu$) of the string model is fixed by normalizing on the COBE detection leading to $G\mu=1.6$. Other parameters (e.g. the {\it rms} string velocity) are fixed by comparing with string simulations. Using these parameter values we compare the {\it rms} temperature fluctuations $({{\Delta T}\over T})_{\it rms}$ predicted for ongoing experiments (Tenerife, SP91, MAX, OVRO etc) with detections and with the corresponding predictions of inflationary models.

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