Ricci flow, Quadratic equations
We consider the synchronization of the Einstein’s flow with the Ricci-flow of the standard spatial slices of the Robertson–Walker space–time and show that associated perfect fluid solution has a quadratic equation of state and is either spherical and collapsing, or hyperbolic and expanding.
Read More: http://www.worldscientific.com/doi/abs/10.1142/S0219887816500699
Sharma, Ramesh, "Cosmological Models through Spatial Ricci Flow" (2016). Mathematics Faculty Publications. 13.
Sharma, R. (2016). Cosmological models through spatial Ricci flow. International Journal of Geometric Methods in Modern Physics, 13(5), 1650069(1-4). doi:10.1142/S0219887816500699