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Abstract
The mathematical formulation of numerous Physical problems results in differential equations actually non-linear differential equations. In our study we are interested in solutions of differential equations, which describe the structure of neutron star in non-relativistic and relativistic cases.
The aim of this work is to determine the mass and the radius of a neutron star, by solving the Tolmann-Oppenheimer-Volkoff (TOV) differential equations using different models of the nuclear equation of state (EOS). Analytical solutions are obtained for a simple form of the nuclear equation of state of Clayton model and Polytrope model. For a more realistic equation of state the TOV differential equations are solved numerically using Rung-Kutta method.
Chapter (1) is an introduction.
Chapter (2) presents analytical solutions of the TOV differential equations using Polytrope model and Clayton model.
Chapter (3) presents numerical solutions of the TOV differential equations using the non-relativistic Skyrmme interaction as the relativistic mean field theory.