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Scalar cosmological perturbations from inflationary black holes
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We study the correction to the scale invariant power spectrum of a scalar field on de Sitter space from small black holes that formed during a pre-inflationary matter dominated era. The formation probability of such black holes is estimated from primordial Gaussian density fluctuations. We determine the correction to the spectrum by first deriving the Keldysh propagator for a massless scalar field on Schwarzschild-de Sitter space. Our results suggest that the effect is strong enough to be tested -- and possibly even ruled out -- by observations.
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Cited by 2 Pith papers
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Black Hole and Cosmological Particle Production in Schwarzschild de Sitter
For freely falling observers on the horizons of Schwarzschild de Sitter spacetime, particle production spectra are generally non-thermal and equal the transmission-weighted convolution of the black hole and cosmologic...
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The regular response of a massless minimally coupled scalar to a static point charge on de Sitter necessarily breaks dilatation symmetry, even though its energy-momentum tensor does not.
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