Astronomy and Astrophysics – Astronomy
Scientific paper
Oct 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976mnras.177...51l&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 177, Oct. 1976, p. 51-64.
Astronomy and Astrophysics
Astronomy
42
Black Holes (Astronomy), Cosmology, Einstein Equations, Equations Of State, Astronomical Models, Galactic Evolution, Pressure Effects, Universe
Scientific paper
The paper demonstrates that the Einstein equations permit a similarity solution in which pressure gradients cause a primordial black hole to grow as fast as the Universe, provided the equation of state is 'stiff' (i.e., the pressure equals the energy density). Various stiff models of the early Universe are discussed, and it is argued that if the Universe is stiff until some specific time, any primordial black holes formed before that time or fed into the Universe ab initio will just grow to the horizon size by that time. Cosmological consequences of black holes forming in a stiff era are examined, a lower limit on the mass of a primordial black hole is obtained in terms of the duration of the stiff era, and it is shown that there could be a concentration of one-solar-mass black holes if the stiff era lasts about 0.0001 sec. The existence of a black-hole similarity solution for 'stiff' Einstein equations is proven.
Carr Bernard J.
Fall Michael S.
Lin Doug N. C.
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