Mass spectrum of primordial black holes from inflationary perturbation in the Randall-Sundrum braneworld: a limit on blue spectra

Abstract

The mass spectrum of the primordial black holes formed by density perturbation in the radiation-dominated era of the Randall-Sundrum type-2 cosmology is given. The spectrum coincides with standard four-dimensional one on large scales but the deviation is apparent on smaller scales. The mass spectrum is initially softer than standard four-dimensional one, while after accretion during the earliest era it becomes harder than that. We also show expected extragalactic diffuse photon background spectra varying the initial perturbation power-law power spectrum and give constraints on the blue spectra and/or the reheating temperature. The most recent observations on the small scale density perturbation from WMAP, SDSS and Lyman-αForest are used. What we get are interpreted as constraints on the smaller scale inflation on the brane connected to the larger one at the scale of Lyman-αForest. If we set the bulk curvature radius to be 0.1 mm and assume the reheating temperature is higher than 10^6 GeV, the scalar spectral index from the smaller scale inflation is constrained to be n \lesssim 1.3. Typically, the constraints are tighter than standard four-dimensional one, which is also revised by us using the most recent observations.

19 pages, 6 figures; typos corrected, references added, published in JCAP

References in corpus (2)

• Graviton Emission in the Bulk from a Higher-Dimensional Schwarzschild Black Hole
• Constraints on the mass spectrum of primordial black holes and braneworld parameters from the high-energy diffuse photon background

Cited by in corpus (8)

• Constraints on Primordial Black Holes
• Primordial Black Holes as Dark Matter
• Primordial black hole constraints with Hawking radiation -- a review
• Probability of primordial black hole formation and its dependence on the radial profile of initial configurations
• Efficient electroweak baryogenesis by black holes
• Scalar perturbations in braneworld cosmology
• Entropy of the Randall-Sundrum black brane world to all orders in the Planck length
• On mass spectra of primordial black holes