Cosmic background anisotropy induced by isotropic, flat-spectrum gravitational-wave perturbations

Statistics – Computation

Scientific paper

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Background Radiation, Big Bang Cosmology, Cosmic Rays, Gravitational Waves, Isotropic Media, Microwaves, Temperature Distribution, Anisotropic Media, Computational Astrophysics, Stochastic Processes

Scientific paper

A calculation is made of the temperature anisotropy that would be produced in the cosmic microwave background by an isotropic, stochastic ensemble of primordial gravitational waves having a flat initial spectrum. On angular scales greater than 2 deg the anisotropy autocorrelation function has practically the same multipole dependence as previously established for the case of flat-spectrum adiabatic perturbations, while on scales less than 1 deg, the anisotropy becomes insignificant. Upper limits are placed on the gravitational-wave amplitude and on the expected quadrupole anisotropy.

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