Exact Solution of a Linear Wave Equation in Cosmological General Relativity
Firmin J. Oliveira (Joint Astronomy Centre, Hilo, Hawai`i, U.S.A.)
TL;DR
This paper derives an exactly solvable linear wave equation within the framework of cosmological general relativity, providing analytical solutions that enhance understanding of wave phenomena in an expanding universe model.
Contribution
It introduces an exact solution to a wave equation in cosmological general relativity using Gaussian hypergeometric functions, advancing analytical methods in cosmology.
Findings
Exact wave solutions in cosmological general relativity
Use of Gaussian hypergeometric functions for solutions
Enhanced analytical understanding of wave behavior in expanding universe
Abstract
A linear second order wave equation is presented based on cosmological general relativity, which is a space-velocity theory of the expanding Universe. The wave equation is shown to be exactly solvable, based on the Gaussian hypergeometric function.
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