Tensor Perturbations in Inflationary Models as a Probe of Cosmology

Astronomy and Astrophysics – Astrophysics

Scientific paper

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31 pages; Latex; 7 Figs available on request; FNAL--Pub--93/69-A

Scientific paper

10.1103/PhysRevD.48.4613

In principle, the tensor metric (gravity-wave) perturbations that arise in inflationary models can, beyond probing the underlying inflationary model, provide information about the Universe: ionization history, presence of a cosmological constant, and epoch of matter-radiation equality. Because tensor perturbations give rise to anisotropy of the cosmic background radiation (CBR) solely through the Sachs-Wolfe effect we are able to calculate analytically the variance of the multipole moments of this part of the CBR temperature anisotropy. In so doing, we carefully take account of the contribution of tensor perturbations that entered the Hubble radius during both the matter-dominated and radiation-dominated epoch by means of a transfer function. The striking feature in the spectrum of multipole amplitudes is a dramatic fall off for $l\ga \sqrt{1+\zl}$, where $\zl$ is the red shift of the last-scattering surface. ...

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