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Tensor Microwave Anisotropies from a Stochastic Magnetic Field

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arxiv astro-ph/9911040 v1 pith:7CTG65MD submitted 1999-11-03 astro-ph

R. Durrer , P.G. Ferreira , T. Kahniashvili This is my paper
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keywords fieldmagneticgausslambdaamplitudeanisotropiesconstrainedmicrowave
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We derive an expression for the angular power spectrum of cosmic microwave background anisotropies due to gravity waves generated by a stochastic magnetic field and compare the result with current observations; we take into account the non-linear nature of the stress energy tensor of the magnetic field. For almost scale invariant spectra, the amplitude of the magnetic field at galactic scales is constrained to be of order 10^{-9} Gauss. If we assume that the magnetic field is damped below the Alfven damping scale, we find that its amplitude at 0.1 h^{-1}Mpc, B_\lambda, is constrained to be B_\lambda<7.9 x10^{-6} e^{3n} Gauss, for n<-3/2, and B_\lambda<9.5x10^{-8} e^{0.37n} Gauss, for n>-3/2, where n is the spectral index of the magnetic field and H_0=100h km s^{-1}Mpc^{-1} is the Hubble constant today.

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