Properties of gravitational waves in Cosmological General Relativity
John G. Hartnett, Michael E. Tobar

TL;DR
This paper explores how gravitational waves behave differently in a 5D cosmological model, suggesting they may be attenuated over large distances due to the universe's expansion, unlike in standard 4D theory.
Contribution
It introduces a novel prediction that gravitational waves may dissipate rather than propagate freely in a 5D cosmological framework, contrasting with Einstein's 4D predictions.
Findings
Gravitational waves may be evanescent over cosmological scales.
Energy from gravitational waves could dissipate as heat in the universe.
The 5D theory reproduces known results but predicts different wave behavior.
Abstract
The 5D Cosmological General Relativity theory developed by Carmeli reproduces all of the results that have been successfully tested for Einstein's 4D theory. However the Carmeli theory because of its fifth dimension, the velocity of the expanding universe, predicts something different for the propagation of gravity waves on cosmological distance scales. This analysis indicates that gravitational radiation may not propagate as an unattenuated wave where effects of the Hubble expansion are felt. In such cases the energy does not travel over such large length scales but is evanescent and dissipated into the surrounding space as heat.
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