Variational analysis of rotating neutron stars

Mathematics – Functional Analysis

Scientific paper

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Calculus Of Variations, Neutron Stars, Stellar Rotation, Angular Momentum, Angular Velocity, Baryons, Einstein Equations, Equations Of State, Equilibrium Equations, Functional Analysis, Moments Of Inertia, Stellar Mass, Stellar Models, Stellar Structure, Variational Principles

Scientific paper

We generalize the variational method of Nauenberg and Chapline to obtain explicit but approximate formulae for the total mass, baryon number, and angular momentum of slowly rotating neutron stars. The trial configurations employed have uniform density and angular velocity (as measured locally by zero-angular-momentum observers), but an arbitrary zero-entropy equation of state. It is found that rotation can increase the pressure in a body which is sufficiently relativistic.

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