# Data Analysis of Massive Gravitational Waves from Gamma Ray Bursts

## TL;DR

This paper examines the potential to detect massive polarization modes of gravitational waves from gamma ray bursts using LIGO, finding current detectors are not sensitive enough for such signals.

## Contribution

It introduces a Bayesian analysis of massive gravitational wave polarization detection prospects in f(R) gravity theory with LIGO data.

## Key findings

- Massive polarization component with 10^-22 eV/c^2 mass is undetectable with current LIGO setup.
- Beam pattern functions for massive GWs are derived for LIGO.
- Bayesian analysis indicates detection is unlikely with present sensitivity.

## Abstract

We investigate the detectability of massive mode of polarization of Gravitational Waves (GWs) in f(R) theory of gravity associated with Gamma Ray Bursts (GRBs) sources. We obtain the beam pattern function of Laser Interferometric Gravitational wave Observatory (LIGO) corresponding to the massive polarization of GWs and perform Bayesian analysis to study this polarization. It is found that the massive polarization component with a mass of 10^-22eV/c2 is too weak to be detected at LIGO with its current configuration.