Solving Numerically Ermakov-type Equation for Newtonian Cosmology Model with Vortex

Authors

Victor Christianto
Florentin Smarandache, University of New MexicoFollow
Yunita Umniyati

Document Type

Preprint

Publication Date

Summer 8-17-2017

Abstract

It has been known for long time that most of the existing cosmology models have singularity problem. Cosmological singularity has been a consequence of excessive symmetry of flow, such as “Hubble’s law”. More realistic one is suggested, based on Newtonian cosmology model but here we include the vertical-rotational effect of the whole Universe. We review a Riccati-type equation obtained by Nurgaliev, and solve the equation numerically with Mathematica. It is our hope that the new proposed method can be verified with observation data.

Language (ISO)

English

Keywords

Riccati-type equation, computational physics, nonlinear cosmology, Newtonian cosmology, vortex

Recommended Citation

Christianto, Victor; Florentin Smarandache; and Yunita Umniyati. "Solving Numerically Ermakov-type Equation for Newtonian Cosmology Model with Vortex." (2017). https://digitalrepository.unm.edu/math_fsp/667

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.