Multifractal signatures of gravitational waves detected by LIGO

TL;DR

This study applies multifractal analysis to LIGO gravitational wave data, revealing two regimes of multifractality linked to black hole collisions and establishing a relationship between multifractal properties and physical parameters.

Contribution

It introduces a novel multifractal analysis approach to gravitational wave signals, uncovering new insights into their complex dynamics and physical characteristics.

Findings

Two multifractal regimes identified in gravitational wave signals

A moment of collision correlates with a specific multifractal transition

Empirical link between multifractal diversity and chirp mass

Abstract

We analyze the data from the 6 gravitational waves signals detected by LIGO through the lens of multifractal formalism using the MFDMA method, as well as shuffled and surrogate procedures. We identified two regimes of multifractality in the strain measure of the time series by examining long memory and the presence of nonlinearities. The moment used to divide the series into two parts separates these two regimes and can be interpreted as the moment of collision between the black holes. An empirical relationship between the variation in left side diversity and the chirp mass of each event was also determined.