Pseudoenergy, Superenergy, and Energy Radiation via Gravitational Waves in General Relativity

TL;DR

This paper estimates gravitational wave energy loss in General Relativity using a superenergy approach, revealing a suppression factor that challenges the traditional Einstein Quadrupole Formula, especially in slow-spin scenarios.

Contribution

It introduces a superenergy-based method to estimate gravitational wave energy loss, showing a suppression factor that differs from the Einstein Quadrupole Formula in certain conditions.

Findings

Energy loss is suppressed by a factor $\

,

,

Abstract

For slowly spinning matter the rate of energy loss via radiation of gravitational waves is estimated in General Relativity (GR) within a generally covariant superenergy approach. This estimation differs from Einstein's Quadrupole Formula (EQF) by a suppression factor ($\Pi\ll1$). For a symmetric two-body-like distribution of scalar matter $\Pi$ is estimated to be $\ll(v/c)^2(r/R)^2$, where $v$ is orbital velocity of the bodies, $c$ - velocity of light, $r$ - radius of each body, and $R$ -- the inter-body distance. This contradiction with EQF is briefly discussed.