LIGO GW150914 and GW151226 Gravitational Wave Detection and Generalized Gravitation Theory (MOG)

TL;DR

This paper investigates gravitational waves within a generalized gravitation theory, deriving key equations and fitting LIGO data with smaller black hole masses consistent with electromagnetic observations.

Contribution

It introduces a generalized gravitation theory framework and applies it to gravitational wave analysis, providing new insights into black hole properties and wave behavior.

Findings

Derived linearized field equations for the theory

Fitted LIGO data with smaller black hole masses

Aligned black hole mass estimates with electromagnetic observations

Abstract

The nature of gravitational waves in a generalized gravitation theory is investigated. The linearized field equations and the metric tensor quadrupole moment power and the decrease in radius of an inspiralling binary system of two compact objects are derived. The generalized Kerr metric describing a spinning black hole is determined by its mass $M$ and the spin parameter $a=cS/GM^2$. The LIGO-Virgo collaboration data is fitted with smaller binary black hole masses in agreement with the current electromagnetic, observed X-ray binary upper bound for a black hole mass, $M\lesssim 10M_\odot$.