http://arxiv.org/abs/1511.05642
In this paper we analyze in detail a rarely discussed question of gravity waves production from evaporating black holes. Evaporating black holes emit gravitons which are at classical level registered as gravity waves. We use the latest constraints on the primordial black hole abundance, and calculate the power emitted in gravitons at the time of their evaporation. We then solve the coupled system of equations that gives us the evolution of the frequency and amplitude of gravity waves during the expansion of the universe. The spectrum of gravitational waves that can be detected today depends on multiple factors: fraction of the total energy density which was occupied by black holes, the epoch in which the black holes are formed, and quantities like mass and angular momentum of evaporating black holes. We conclude that very small primordial black holes which evaporate before the nucleosynthesis emit gravitons whose spectral energy fraction today can be as large as $10^{-5}$. On the other hand, primordial black holes which are massive enough so that they evaporate by today or still exist now can yield a signal of $\sim 10^{-10}$. However, typical frequencies of the gravity waves from these black holes are still too high to be observed with the current and near future gravity waves observations.
R. Dong, W. Kinney and D. Stojkovic
Thu, 19 Nov 15
71/73
Comments: 14 pages, 12 figures
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