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Open Access. Powered by Scholars. Published by Universities.®

2017

Mathematics

Nonlinear cosmology

Articles 1 - 2 of 2

Full-Text Articles in Physics

Four Possible Ways To Model Rotating Universe, Victor Christianto, Florentin Smarandache Oct 2017

Four Possible Ways To Model Rotating Universe, Victor Christianto, Florentin Smarandache

Branch Mathematics and Statistics Faculty and Staff Publications

It is known that most existing cosmology models do not include rotation, with few exceptions such as rotating Bianchi and rotating Godel metrics. Therefore in this paper we aim to discuss four possible ways to model rotating universe, including Nurgaliev’s Ermakov-type equation. It is our hope that the new proposed method can be verified with observations, in order to open new possibilities of more realistic nonlinear cosmology models.


Solving Numerically Ermakov-Type Equation For Newtonian Cosmology Model With Vortex, Victor Christianto, Florentin Smarandache, Yunita Umniyati Aug 2017

Solving Numerically Ermakov-Type Equation For Newtonian Cosmology Model With Vortex, Victor Christianto, Florentin Smarandache, Yunita Umniyati

Branch Mathematics and Statistics Faculty and Staff Publications

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.