Variational description of stability and equilibrium of cold configurations

Details Variational description of stability and equilibrium of cold configurations Variational description of stability and equilibrium of cold configurations

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976poast..24...41a&link_type=abstract

Postepy Astronomii, vol. 24, Jan.-Mar. 1976, p. 41-49. In Polish.

Computer Science

Numerical Analysis

Neutron Stars, Stellar Envelopes, Stellar Models, Stellar Rotation, Variational Principles, Critical Mass, Density Distribution, Euler-Lagrange Equation, Maclaurin Series, Newton Theory, Numerical Analysis, Pressure Distribution, Relativistic Theory

Scientific paper

Formulas describing the equilibrium and stability of cold configurations can be derived with ease, for both nonrotating and slowly rotating stars, via a straightforward variational approach in Newtonian theory. Average global properties of the cold configurations can be investigated analytically. Literature contributions on relativistic generalization of the variational approach, covering spherically symmetric nonrotating stars, are indicated. The relativistic approach is accurate for neutron stars with close to critical masses, and the trial functions yield the real density and pressure distributions.

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