Condition for Primordial Black Hole Formation in Randall-Sundrum Cosmology

Abstract

We consider spherical collapse in the Randall-Sundrum type II model and estimate the critical over density for black hole formation in the radiation dominated era. It is found that when (density)${}^2$-term is dominant in the modified Friedmann equation the critical density is smaller than in the standard cosmology, which implies that PBHs are more easily produced in the Randall-Sundrum model.

5 pages, no figure, revised version (a footnote and some references are added)

References in corpus (5)

• Primordial Black Holes as a Probe of Cosmology and High Energy Physics
• Domination of black hole accretion in brane cosmology
• Primordial black holes in braneworld cosmologies: Accretion after formation
• Primordial black holes in braneworld cosmologies: astrophysical constraints
• Constraints on the mass spectrum of primordial black holes and braneworld parameters from the high-energy diffuse photon background

Cited by in corpus (4)

• Entropy of the Randall-Sundrum brane world with the generalized uncertainty principle
• Sub-GeV galactic cosmic-ray antiprotons from primordial black holes in the Randall-Sundrum braneworld
• Mass spectrum of primordial black holes from inflationary perturbation in the Randall-Sundrum braneworld: a limit on blue spectra
• Black hole dynamical evolution in a Lorentz-violating spacetime