Imprint of black hole area quantization and Hawking radiation on inspiraling binary

Abstract

We study the potential of gravitational wave astronomy to observe the quantum aspects of black holes with tidal heating. According to Bekenstein's quantization, we find that black hole area discretization can have observable imprints on the gravitational wave signal from an inspiraling binary black hole. We model the absorption lines and compute gravitational wave flux due to tidal heating in such a case. By including the quantization we find the dephasing of the gravitational wave. We discuss the observability of the phenomena in different parameter ranges of the binary. We show that in the inspiral, it leads to vanishing tidal heating for the high spin values. Therefore measuring nonzero tidal heating can rule out area quantization. We also argue that if area quantization is present in nature then our current modeling with reflectivity can probe the Hawking radiation.