Multiscale structure of the gravitational wave signal from GW150914 based on the non-extensivity q-triplet

¹ Departamento de Física, Universidade Federal do Ceará - Caixa Postal 6030, Campus do Pici, 60455-900 Fortaleza, Ceará, Brasil
² Departamento de Ciência e Tecnologia, Universidade Federal Rural do Semi-Árido Campus Caraúbas, Rio Grande do Norte, Brazil
³ Departamento de Física, Universidade do Estado do Rio Grande do Norte - Mossoró, RN, Brazil

^(a) E-mail: danielbrito@fisica.ufc.br (corresponding author)

Received: 20 January 2023
Accepted: 16 February 2023

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 Tsallis' q-Gaussian distribution as a probability density and its dynamics evolves from the three associated Tsallis' indexes named q-triplet. This fact strongly suggests that these black hole merger systems behave in a non-extensive manner. Furthermore, our results point out that the entropic indexes obtained as a function of frequency are useful statistical parameters to determine the dominant frequency when black hole coalescence is achieved.