Speaker
Description
We investigate the stochastic gravitational wave background (SGWB) generated by primordial black hole (PBH) encounters in the framework of large extra dimensions (ADD model).
In this scenario, gravity propagates in D=4+n dimensions, modifying the short-distance gravitational potential.
We derive the spectral energy distribution dE/df for PBH–PBH interactions, where a localized burst of gravitational-wave radiation is generated near the pericenter and compute the total emission by statistically averaging over realistic velocity distributions and impact parameter probabilities within virialized dark-matter halos.
The emission spectrum is separated into two regimes according to the pericenter distance: a higher-dimensional (ADD) channel for r < R(n), and a four-dimensional one for r > R(n), both weighted by the same 4D geometric cross section.
The resulting averaged spectrum is then integrated over redshift to obtain the contribution to the stochastic background ΩGW(f).
This analysis suggests that stochastic gravitational-wave observations can probe both the existence of large extra dimensions and primordial black hole populations.
We show that the inclusion of extra-dimensional effects enhances the high-frequency component of the SGWB, potentially leaving observable imprints accessible to the next generation of GW detectors.
