Constraints on the spectral index from primordial black holes

Details Constraints on the spectral index from primordial black holes Constraints on the spectral index from primordial black holes

Nov 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..54.6001k&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 54, Issue 10, 15 November 1996, pp.6001-6007

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35

Black Holes, Background Radiations, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We construct the mass spectrum of primordial black holes (PBH's) using the Press-Schechter formalism and study the contribution of PBH's to the density of the universe, ΩBH, when the power spectrum of the density fluctuation is a simple power-law spectrum. From the condition ΩBH<1, the constraints on the spectral index n are found for both cases of possible end states of black hole evaporation, one in which black holes evaporate completely without relics and the other in which black hole evaporation ends with relics with mass of the order of MPl. With the normalization of the fluctuation amplitude to COBE's quadrupole anisotropy measurement, we find that the upper limit of n is somewhat largely deviated from the Harrison-Zel'dovich spectrum.

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