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The imprint of primordial gravitational waves on the CMB intensity profile
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We use the induced geometry on the two dimensional transverse cross section of a photon beam propagating on a perturbed Friedmann-Robertson-Walker (FRW) spacetime to find the Cosmic Microwave Background (CMB) photon distribution over a telescope's collecting area today. It turns out that at each line of sight the photons are diluted along a transverse direction due to gravitational shearing. The effect can be characterized by two spin-weight-two variables, which are reminiscent of the Stokes polarization parameters. Similar to that case, one can construct a scalar and a pseudo-scalar function where the latter only gets contributions from the tensor modes. We analytically determine the power spectrum of the pseudo-scalar at superhorizon scales in a simple inflationary model and briefly discuss possible observational consequences.
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Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect
Charged-scalar vacuum polarization makes photon paths timelike and yields frequency-dependent Sachs-Wolfe corrections, giving a CMB mu-distortion and power-spectrum modifications whose size depends on the scalar mass ...
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