A general, gauge-invariant analysis of the cosmic microwave anisotropy

Mathematics – Logic

Scientific paper

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Background Radiation, Cosmic Rays, Gauge Invariance, Radiation Distribution, Anisotropy, Big Bang Cosmology, Dipole Moments, Microwaves, Normal Density Functions, Space-Time Functions

Scientific paper

A general, gauge-invariant analysis of the large-scale anisotropies in the cosmic background radiation produced by arbitrary scalar, vector, or tensor perturbations in open, closed, or flat Robertson-Walker spacetimes (with no cosmological constant) is presented. The multipole moment predictions for the scale invariant spectrum and Omega = 1 universe predicted by inflationary cosmologies are contrasted with those for other spectra and for open and closed universes. Using the measured value of the dipole moment, limits are set on the expected value of the quadrupole moment as a function of Omega for various spectra.

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