Relativity and Cosmology

    

A Solution to Einstein's Field Equations that Results in a Sign Change to the Analogous Friedmann Acceleration Equation

Authors: Greg P. Proper

This brief paper demonstrates that a mathematical solution to Einstein's field equations exists that features a sign change in what proves to be the analog to the Friedmann 2 (acceleration) equation. The purpose here is not to physically challenge the FLRW (Friedmann Lemaitre Robertson-Walker) solution, but to demonstrate that this sign change is mathematically possible. In order to achieve this result, the metric is modified so that the temporal increment is affected by the expansion in the same manner as the spatial increments. Unlike the Schwarzschild, there is no theorem that states that the R-W is mathematically unique. Therefore, from a purely mathematical perspective there is no prohibition on the exploration of other alternatives to the R-W. In this particular instance the four principal equations of cosmology reduce to two mathematically consistent equations and total energy is conserved.

Comments: 6 Pages. Published in OSP Journal of Physics and Astronomy 4: JPA-4-151.

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Submission history

[v1] 2024-09-07 03:39:31

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