Parametric solution of certain nonlinear differential equations in cosmology

Details Parametric solution of certain nonlinear differential equations in cosmology Parametric solution of certain nonlinear differential equations in cosmology

2012-02-20

arxiv.org/abs/1202.4422v1

Journal of Nonlinear Mathematical Physics 18, No. 2 (2011), pp. 269-278

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

We obtain in terms of the Weierstrass elliptic $\wp-$function, sigma function, and zeta function an explicit parametrized solution of a particular nonlinear, ordinary differential equation. This equation includes, in special cases, equations that occur in the study of both homogeneous and inhomogeneous cosmological models, and also in the dynamic Bose-Einstein condensates - cosmology correspondence, for example.

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