Primordial Black Hole Minimum Mass

Abstract

In this paper we revisit thermodynamic constraints on primordial black hole (PBH) formation in the early universe. Under the assumption that PBH mass is equal to the cosmological horizon mass, one can use the 2nd Law of Thermodynamics to put a lower limit on the PBH mass. In models of PBH formation, however, PBHs are created at some fraction of the horizon mass. We show that this thermodynamic constraint still holds for sub-horizon PBH formation.

9 pages, no figures, replaced with version published in PRD

References in corpus (15)

• Dynamics of Primordial Black Hole Formation
• Computations of primordial black hole formation
• Observation of critical phenomena and self-similarity in the gravitational collapse of radiation fluid
• Critical behaviour in gravitational collapse of radiation fluid --- A renormalization group (linear perturbation) analysis ---
• Constraints on the density perturbation spectrum from primordial black holes
• Gravitino production by primordial black hole evaporation and constraints on the inhomogeneity of the early Universe
• Cosmological constraints on primordial black holes produced in the near-critical gravitational collapse
• Clustering of primordial black holes: Basic results
• Antiprotons from primordial black holes
• Critical collapse and the primordial black hole initial mass function
• Primordial black holes in braneworld cosmologies: Formation, cosmological evolution and evaporation
• A complete classification of spherically symmetric perfect fluid similarity solutions
• Moduli constraints on primordial black holes
• Upper limits on the size of a primordial black hole
• Thermodynamic constraint on the primordial black hole formation in the radiation dominated epoch

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• Thermodynamical properties of the Universe with dark energy
• Accuracy of slow-roll formulae for inflationary perturbations: implications for primordial black hole formation
• Primordial Black Holes from No-Scale Supergravity
• Is there a black hole minimum mass?