Revisiting string-inspired running-vacuum models under the lens of light primordial black holes
arxiv(2024)
摘要
Light primordial black holes (PBHs) with masses
M_PBH<10^9g can interestingly dominate the Universe's
energy budget and give rise to early matter-dominated (eMD) eras before Big
Bang Nucleosyntesis (BBN). During this eMD era, one is met with an abundant
production of induced gravitational waves (GWs) serving as a portal to
constrain the underlying theory of gravity. In this work, we study this type of
induced GWs within the context of string-inspired running-vaccuum models
(StRVMs), which, when expanded around de Sitter backgrounds, include
logarithmic corrections of the space-time curvature. In particular, we discuss
in detail the effects of StRVMs on the source as well as on the propagation of
these PBH-induced GWs. Remarkably, under the assumption that the logarithmic
terms represent quantum gravity corrections in the PBH era, we show that GW
overproduction can be avoided if one assumes a coefficient of these logarithmic
corrections that is much larger than the square of the reduced Planck mass. The
latter cannot characterise quantum gravity corrections, though, prompting the
need for revision of the quantisation of StRVMs in different than de Sitter
backgrounds, such as those characterising PBH-driven eMD eras. This non trivial
result suggests the importance of light PBHs as probes of new physics.
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