Primordial Black Holes With Variable Gravity

Abstract

We have studied the evolution of primordial black holes (PBHs) in a universe with a variable gravitational constant and bulk viscosity. We have found that the strength of gravity has changed appreciably in the early universe. The gravitational constant attained its greatest value at t=10^{-23} sec after the Big Bang. PBHs formed at the GUT and electroweak epochs would have masses about $1.85\times 10^9 g$ and $1.8\times 10^{-7} g$ respectively. Their temperatures when they explode are $6\times 10^8K$ and 6 K respectively. PBHs formed during nuclear epoch are hard to detect at the present time. The gravitational constant ($G$) is found to increase as $G\propto t^2$ in the radiation epoch. The gamma rays bursts (GRBs) may have their origin in the evaporation of the PBHs formed during GUT time.