Inflation, gravitational waves and the cosmic microwave background - Reconciling CDM with COBE?

Statistics – Computation

Scientific paper

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Cosmic Background Explorer Satellite, Dark Matter, Gravitational Waves, Microwaves, Relic Radiation, Anisotropy, Computational Astrophysics, Spaceborne Astronomy, Tensor Analysis, Universe

Scientific paper

The production of tensor (gravitational wave) perturbations in a universe where inflation is driven by a scalar field interacting via an exponential potential is examined. In this scenario, the universe undergoes a power-law rather than exponential expansion, and density perturbations have a power-law but nonscale-invariant spectrum. It is shown that models which lead to only slight departures from scale-invariant density perturbations also produce significant gravitational wave perturbations that lead to significant anisotropies in the cosmic microwave background. For a spectral index less than 0.83, more than half the quadrupole anisotropy detected by COBE could be due to tensor, rather than scalar, perturbations. The implications of this result for the cold dark matter model of galaxy and large-scale structure formation are discussed. If nonscale-invariant fluctuations are generated by the present inflationary mechanism, a CDM model can simultaneously account for these properties and the COBE quadrupole anisotropy.

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