The Development of Primordial Black Holes. I ---The Possibility of the Black-Hole Dominant Era---

Details The Development of Primordial Black Holes. I ---The Possibility of the Black-Hole Dominant Era--- The Development of Primordial Black Holes. I ---The Possibility of the Black-Hole Dominant Era---

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978pthph..59.1892b&link_type=abstract

Progress of Theoretical Physics, Vol. 59, No. 6, pp. 1892-1903

Physics

Scientific paper

An equation is suggested which describes primordial black holes (PBH) of small mass in a high density medium. It is solution for the mass of a single PBH in an early state of the universe increases when the temperature of the medium is greater than the PBH-temperature, and then decreases due to the Hawking evaporation. The case of a great number of PBH's with extremely large equal masses is examined. We suggest that the evaporation process was symmetric with respect to particle-antiparticle creation, and that mainly baryons were present in the very beginning of the universe. A single parameter ζ-the ratio of PBH number to the initial entropy of the universe---describes all the functions of time: the PBH-mass m(t), the PBH average energy density, the rate of the cosmic expansion, and the ratio of baryon to radiation densities α(t). Only the case ζ≪1 is of interest and, as is shown by both analytic and computer calculations, the maximum mass of the PBH is mmax˜-2/310-5 gr and the final baryon to radiation ratio is αfin = 14.0ζ8/9. Consequently, taking into consideration the observed baryon to radiation ratio α = 10-8, we see in this model only small PBH's with maximum masses of order 102 gr existed, and they died before tfin = 10-23 s. The black-hole collision process which in principle can produce black holes with masses greater than the obtained limit is, however, not studied in this paper.

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