Nonadditive entropy of the gravitational wave signal from GW150914

Abstract

We study the first gravitational wave, GW150914, detected by advanced LIGO and constructed from the data of measurement of strain relative deformation of the fabric of spacetime. We show that the time series from the gravitational wave obeys a nonadditive entropy, and its dynamics evolve with the three associated Tsallis indices named q-triplet. This fact strongly suggests that these black hole merger systems behave in a non-extensive framework. Furthermore, our results point out that the entropic indexes obtained as a function of frequency are proper statistical parameters to determine the dominant frequency when black hole coalescence is achieved.