Search for black hole super-radiance using gravito-optic hetrodyne detection

Gravitational-wave astronomy plays a crucial role in early universe cosmology, dark matter detection, and black-hole merger studies. It is shown here that the heterodyne detection of the gravito-optic effect (employing an enhanced Fabry-Pérot cavity) presents a novel broad band approach to gravitational wave detection, with favorable length and frequency scalings. It is demonstrated that such a device is well suited for detecting gravitational waves generated by the annihilation of bosons around black holes, enabling the exploration of a mass range from $2.40\times {10}^{-12}\mathrm{e}\mathrm{V}$ to $4.54\times {10}^{-7}\mathrm{e}\mathrm{V}$. Furthermore, due to the unique coherent nature of gravitational waves generated by boson annihilation any coherent gravitational waves detected above $1.23\times {10}^5\mathrm{H}\mathrm{z}$ may be indicative of the existence of black holes of primordial origin.